diff --git "a/data/dm_maths/full_data_2/1519_11255.jsonl" "b/data/dm_maths/full_data_2/1519_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1519_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 9:14 AM and 2:10 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*i - 141, -54*s + 117*s = 57*s - i + 35 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/312 and 37\/3159.\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150\/1387 + -1250961\/13870. Let g = h - -79. What is the common denominator of g and -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a*a**0\/a*a)\/(a**(-7)*a**(-1\/4))*a**(3\/4)\/a**(-3\/8)*a**(-5)\/(a**(3\/5)*a) assuming a is positive.\nAnswer: a**(857\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + (sqrt(75) + -3)*-5 - -4*(sqrt(75) + 1 - sqrt(75))) + -3 + -1 + -5)*3)**2.\nAnswer: -3600*sqrt(3) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -2 - (-26 + (108 - 70)) - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-3))\/(5\/(-3) - -1). Suppose -3*k - 6 = -3*d, 4*k - 3*k = -o*d + 28. Put k, 2, -15 in ascending order.\nAnswer: -15, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2119571 by 3.\nAnswer: 2119571\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200839 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -3. Let a(k) = k**2 - 7*k - 3*k**2 + k**2 + 1. Does 5 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*d**2 + 50*d**2 - 9*d - 2 - 80*d**2 + (d + 0*d + d)*(-3*d - 2*d + 3*d).\nAnswer: -3*d**2 - 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 + 12*d + 15. Let u be i(-11). Suppose 144 = u*r - 8. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 18 = -5*i. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 4*p - 4. Let r(i) = -i**2 - i - 5. Let c be r(0). Let u be x(c). Let l = 3 - u. Is l at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(2*5*((sqrt(1331) - (sqrt(1331) + -1)) + sqrt(1331)) - ((sqrt(1331) + (sqrt(1331) - (1*sqrt(1331))**2)*4 + sqrt(1331) - sqrt(1331)) + -2)).\nAnswer: -16011 - 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/240*-4*9*8\/1416?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-3)*(-14)\/(-4). Let t(w) = w**2 + 5*w - 7. Is 4 a factor of t(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/35 - (-21)\/(-35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = -25. Let v be (-15)\/20*-4*2\/3. Solve y = x*l, 24 = -4*l - v*y - 2*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 47983.71 micrometers?\nAnswer: 47.98371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/5, 78, -0.5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 590302, 590296, 590288, 590278, 590266?\n\"Answer: -d**2 - 3*d + 590306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 357 - -416. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 2*j + 11. Let o be s(5). Let r be 6\/8*(-16)\/o. Solve f - 4*x = -3, -4*f - 12 = -r*x - x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6658 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 11*q + 13. Let r be v(-12). What is the units digit of (-5)\/r - (-39 - 79)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6320 and 58460?\nAnswer: 233840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128 divided by 19?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - i - 3 = 0, 4*i = -0*i + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -19*m**3\/6 + 9*m. Let c(n) = n. Give q(c(i)).\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*g**3*o*r**2 + 14*g**3*o*r - 3*g**2*o*r - 2*g*o*r**2 + o*r**2 wrt r.\nAnswer: 18*g**3*o - 4*g*o + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53146 (base 7) to base 9.\nAnswer: 18884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Let d(a) = -a - 2. Let k(j) = -j - 3 - j + 0*j. Let i(r) = q*k(r) - 4*d(r). Determine i(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4532 * -4.6.\nAnswer: -20847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -72, 66 in descending order.\nAnswer: 66, -4, -11, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)\/b**(2\/23))\/(b*b**(2\/3))**(-20) assuming b is positive.\nAnswer: b**(2156\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/563366 or 0?\nAnswer: 3\/563366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/12)\/(219\/2920))\/(-3*(-2)\/(-3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214.5 + 147. Let x = w + 92. What is x rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e - 0?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005113 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-8)*(-130)\/(-364))\/((-2)\/(-8)). Solve 3*f = m + 7, -i*m - 4*f + 11 = -6*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -50 and -50 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111313?\nAnswer: 157, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - ((-88)\/(-28) - 2). Let x = -2 + 2.2. Which is the second biggest value? (a) x (b) t (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6 + 8 + 3*g**2 - 4*g**2. Let z(p) = -p**2 - p + 3. Determine 3*s(l) - 2*z(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 22. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**2 + 40*n + 71. What is w(9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 12*u - 107. Let a be k(21). Solve 0 = 94*r - a*r + 60 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199601395 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + r - 23*d + 27*d + 4 = 0, -2*d = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6)*(-4 + 13). Let r be -1 + 6 + (1 - z). Suppose 2*x + 3*x = 120. Solve 2*j - x = 4*g, 2*j - r*g = 7 + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 40*b - 812. What is the thousands digit of r(56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4 + 3550*y**3 + 3552*y**2 = 0.\nAnswer: -1, 0, 1776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900620653?\nAnswer: 19, 61, 97, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:06 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297 + -133. Let r = p - 114. Calculate the highest common factor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 13*j - 5*j - 8*j. Let d be y(-5). What is the closest to 0.1 in d, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 8 - 29)*(165 - 539 - 537)*(3*g - g - g) in the form o*g + p and give o.\nAnswer: 23686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 7*m + 2*m + 4, 5*y = 2*m + 12. Let a(c) = c**3 - 10*c**2 + 3*c - 3. Let w be a(10). Suppose -w = -y*p + 165. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -34. Suppose 0 = 15*l - o*l - 423. Let t = l - 45. Solve 3*y - 17 = -t*f, -5*f + f - 4*y = -24 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/60 + 10\/100\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwze when four letters picked without replacement from dazewdew?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 - -31.44. Let u = v - 22. Let t = u - 8.99991. Round t to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.46 - 1.6. Let n = k + 0.1400053. Round n to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12802 and -121\/55014?\nAnswer: 2035518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*g**2*h - g**2*l**3 + 27*g**2*l + 2142*g*l**3 - g + 166680*h*l**3 + 4*l**3 wrt h.\nAnswer: -9*g**2 + 166680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001001 (base 2) to base 15.\nAnswer: -3b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 891*l**2 + 1540*l + 0 + 889*l**2 + 3215*l as t*l + z*l**2 + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12904 = -31*d - 256. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119528 divided by -568?\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/8 - 59*q**3\/4 - 651*q**2\/8 + 1107*q\/2 = 0.\nAnswer: -9, 0, 4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8294 and 1195451543.\nAnswer: 4147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 6*s**2 - s + 8. Let x be z(6). Suppose 0 = 3*l - 2*r + 2, -29 + 12 = -2*l + 5*r. Let j be 8 - 2\/(l + 5). Solve j = x*a - 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6154 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -75. Suppose l = -5*s - 9. Calculate the common denominator of 56\/33 and (-1 - (-120)\/(-44))\/s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/11)*k*k*k)\/k*k**(4\/7)*k**3\/k*k**(-6)*(k*k*k**(2\/5)*k*k*k*(k*k\/(k**(-1\/3)\/k)*k)\/k)**(-1\/5) assuming k is positive.\nAnswer: k**(-18862\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -68, -6, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*2 + sqrt(363) + -4 + 1*(sqrt(363)*2)**2.\nAnswer: 33*sqrt(3) + 1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 2*v**2 + v**2 + (-v - v + 0*v)*(1 - 1 + 1)*(-7 - 2 + 0)*(-v - 2*v + v) - 5*v**2 + 4*v**2 - v**2 to the form a*v + f + z*v**2 and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4838575 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 14421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15 = 4*h, 5*m - 3*h - 20 = 4. Suppose -m*k - 76 = 62. Let t = -24 - k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -91, -66, -19, 56?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -108.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 8 - -11 - 2) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) -183\/23 (c) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -192310.3 rounded to the nearest 1000?\nAnswer: -192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4002, 8037, 12108, 16227, 20406, 24657, 28992, 33423?\nAnswer: 37962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 513, 511, 509, 507?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 6. Let p be u(-3). Let j = 548\/9 + -61. Let l = -0.1 - 0.9. Which is the third smallest value? (a) p (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/3 + 434*k**3\/9 - 2632*k**2\/9 + 520*k\/3 = 0?\nAnswer: -78, 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhuuhhuuhhuuxh. Give prob of picking 3 h and 1 u.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13630 is divided by 1237.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52648\/(-6)*(-213)\/(-142). List the prime factors of (-6)\/(-16) + q*(-2)\/32.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55593, -55578, -55545, -55488, -55401, -55278, -55113?\n\"Answer: t**3 + 3*t**2 - t - 55596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 745 - 750. Let a = 1 - 1. Put l, 4, a in decreasing order.\nAnswer: 4, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**3 - 12631480*h + 13074467?\nAnswer: -9*h**2 - 12631480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Let v = 23.98 - 18.3. Let f = v + -0.68. Put -3\/4, -0.5, q, f in increasing order.\nAnswer: q, -3\/4, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 43*m + 13. Solve -5*o + m*o + 5*n - 14 = 0, -5*o - 18 = -4*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*sqrt(245)*5 + 5) + (sqrt(245) + 1 + 4 + -4*(-1 + sqrt(245)))*6)**2.\nAnswer: 5782*sqrt(5) + 15486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 19. Let s be v(-3). What is the units digit of (-6)\/12 + 615\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 - 16*s**3\/7 + 24*s**2\/7.\nAnswer: 2*s**2*(s - 6)*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210046296 by 1.\nAnswer: -210046296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/184 - (-41)\/108)*(-18)\/15?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-12 + 405\/30)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-52)\/(-104).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 902*p + 337*p - 228*p - 2070 - 7029 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2 - 1. Let q(m) be the third derivative of -13*m**5\/60 - 256*m**2 + 2*m - 2. Calculate z(q(a)).\nAnswer: 1521*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.01 + 0.9879. Round v to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016 and 56822?\nAnswer: 28865576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11680088 is divided by 778671?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/45 + -5\/9. Let u(j) = j**2 + 6*j + 3. Let q be u(-5). Let y be 3*(q - (-112)\/60). What is the nearest to y in 2, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.91 and 41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*l - 1608, l + 530 + 432 = 3*b. Calculate the greatest common divisor of 30 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t + 7*t + 20*t.\nAnswer: 57*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.5, -1, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, l: 2, f: 7}. Give prob of picking 3 s and 1 l.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3135 = -3*i - 3140, 3*i + 2*y - 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32678 + -32678. Which is the fifth biggest value? (a) y (b) -1\/4 (c) 4 (d) 2\/2543 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 35*k**4\/24 - 60*k**2 + 19*k. Let s(o) = 120*o. What is s(x(q))?\nAnswer: 4200*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15909 - 15349 = 20*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 0 = -2*t + 2*v, -23*t + 27*v + 199 = 8*t + 2*v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3843135 + -0.1369\nAnswer: -3843135.1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067039 minus 2?\nAnswer: -2.067039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 112 = -25*x. Let o be ((-4)\/6)\/((x\/609)\/(-2)). What is the third derivative of o*n**4 - 8*n + 18*n + 6*n**2 - 10*n wrt n?\nAnswer: 696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2066211 divided by -32797.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -89?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v - 111 = 6*v + 129 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(98\/(-21)))\/((-6)\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09407458 to 3 dps.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 147 (b) -1\/7 (c) -0.008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from zszeeeszze.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -408\/13? (a) -1 (b) 0.4 (c) -0.09 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 2*r**2 - r. Let n(v) = 10*v**3 - 17*v**2 - 9*v - 38. What is 9*j(p) - n(p)?\nAnswer: 8*p**3 - p**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iekk when four letters picked without replacement from eiukkdreerdkku?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1\/2632 in increasing order.\nAnswer: -5, -4, 1\/2632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(190)*2*-5)\/(sqrt(10) - (sqrt(20)\/sqrt(2)*2 - sqrt(10) - sqrt(10)) - sqrt(60)\/(2*sqrt(6))).\nAnswer: 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + (2 - -5 - 11 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 220217635 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21*-1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*b + 13829 - 4166 = 0, -5*c + 4*b = -48333. Does 64 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.521977 millennia?\nAnswer: 54263.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(171)\/(sqrt(18)\/sqrt(2)) + sqrt(19) + (sqrt(19) - (sqrt(171) + -1))) - (-3*1*sqrt(152))\/((3*sqrt(88))\/sqrt(11)).\nAnswer: sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuvv when four letters picked without replacement from uvvxvvvvvu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 543\/4 + -136. Let f = 0 - -0.2. Let g = f - -0.8. Is g less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/(-108) - ((-30)\/(-72) + 1\/3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 8*l**2 + 12*l - 13. Let t be 3 - ((-3)\/(-1) + (0 - 3)). Suppose -x = 5*u - 45, t*u = 2*x + x + 27. Give h(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -29*i + 1888. What is j(38)?\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6 + 2) - (-8 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124*-11.\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -5\/4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8733?\nAnswer: 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-110) - ((-1464)\/(-48) + -30).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 297 and 291 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**6\/120 + t**5\/10 + t**4\/12 + 2*t**3\/3 + 3*t**2 + 79. Let b(l) = -6*l**3 - 29*l**2 - 11*l - 21. Give 2*b(d) + 11*r(d).\nAnswer: -d**3 + 8*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 619 - 623. Is -1\/11 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/36 and 26\/840*(203\/(-14) - -12).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23680*m**3 - 5*m**2 + 4*m + 9 wrt m.\nAnswer: 142080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 20622.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 11100001011010001000?\nAnswer: 11100001011010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -81*l + 36*l + 45*l + l**2 + 3. Calculate the remainder when 47 is divided by f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53278885*g**5 - 5741*g**2 - 1460*g - 1.\nAnswer: 3196733100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Suppose -d = -5*k - 22, -m*k - 4 = -0*d - 2*d. Let b be (-15)\/1*2\/k. Let g(r) = -r - 2. Give g(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 1\/6 (c) 31620\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*d + 32 = d, 3*d = x - 21. Calculate the lowest common multiple of 33 and x.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9102*k - 100122. Give f(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 32*b**2 - 17*b + 30. What are the prime factors of l(4)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 5, z: 14}. Give prob of picking 3 z.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1520)\/24 - (8 + 4 + -13 + 3)\/3?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -15*y**5\/2 - y**3\/2 - 497*y**2\/2 + 305*y. What is the first derivative of j(h) wrt h?\nAnswer: -450*h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -590.989 + -14.111. What is r rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**3 - t - 16*t**3 + 2 - t**3 - 18*t**3 + 2*t**2 as r*t**2 + y + h*t + g*t**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -36*f**3 - 11*f**2 - 11*f + 11. Let x(t) = -7*t**3 - 2*t**2 - 2*t + 2. Give 4*h(r) - 22*x(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/66*1144\/(-624)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, k: 13}. Give prob of picking 3 u.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -637241463861 minus 1.7?\nAnswer: -637241463862.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -18*n**2. Let c(y) = 168*y**2 - 3 + 3 - 166*y**2. What is w(c(f))?\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 314, 324, 336, 350?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 6, 7*d = -n + 5*n - 0*d + 4*d - 55 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -4, -8, -2527, 2, -5 in ascending order.\nAnswer: -2527, -55, -8, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604571 - 320*g + 604571.\nAnswer: -320*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4747*h**2 - 24*h - 45. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-414)\/92*(-160)\/36)\/(208\/(-12)).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhdh when four letters picked without replacement from {d: 7, f: 1, h: 7, n: 1}.\nAnswer: 21\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 847471 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 817 + 88. What are the prime factors of r?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15502201 (base 6) to base 3\nAnswer: 1001002000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2362 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*k**3 + 10\/13*k**2 + 0*k + 0.\nAnswer: -2*k**2*(k - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*f + 28*f - 20*f**2 + 8*f**2 + 11*f**2 + 4*f**2.\nAnswer: 3*f**2 + 71*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 27*a + 2. Give j(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28503510 and 420.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 + 7*a**2 + 1 + 0. Let x(g) = g**2. Suppose 36 - 274 = -238*y. Calculate y*v(d) - 5*x(d).\nAnswer: 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59a798 (base 13) to base 3.\nAnswer: 11000120010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - u = 1, -g + 43*u - 3 = 40*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5766 - 5732. Calculate the smallest common multiple of 438 and r.\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574 - 881 + 1455 + 1588*b**3.\nAnswer: 1588*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**3 + r**2. Let l be h(1). What is the greatest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.956 - -0.044. Which is the biggest value? (a) -1\/3 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*d + 791*d - 138*d - 200*d - 162*d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 26*f + 47*g = 2193 + 1003, -4*f - 180 = -5*g + 160 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -837 + 833.33. Let m = d + 4.021. Let i = -0.049 - m. Sort -2\/9, 3\/4, i, 3.\nAnswer: i, -2\/9, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1 - (-12 + 11) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - -438 - 7) + 1 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 69 - 61 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8644555 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/24)\/((-76)\/6). Let n = 3 - 6. Let z = 2.6 + n. Which is the third smallest value? (a) p (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 16*f**2 + 12*f + 40. Determine i(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/17, 4, -5\/4, 2\/7, -1\/9, -2 in increasing order.\nAnswer: -2, -28\/17, -5\/4, -1\/9, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1892885548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(40)\/(sqrt(48)\/sqrt(6)) - sqrt(5)))**2 + 2 + ((sqrt(45)\/sqrt(9)*1)**2 - sqrt(5)))*5.\nAnswer: -5*sqrt(5) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eni when three letters picked without replacement from vgiegivvgvnenevn.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 6073\nAnswer: 29\/6073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w**2 - 36*w. Let d(j) = -29*j**2 - 71*j. Let b(r) = 4*d(r) - 7*t(r). Find the second derivative of b(p) wrt p.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(4\/7))\/(c*c\/c**(3\/5)))\/(c**(-5\/4))**(-8\/9) assuming c is positive.\nAnswer: c**(-656\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1 - 2 - -27. Let s = p - 2. Let l = -275 - -360. What is the remainder when l is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**2 + 4*h + 20*h**3 + 12*h**4 - 9*h**3 + 17*h**3.\nAnswer: 4*h*(h + 1)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*a - 4*h, 4*a - 4*h = -0*a + 16. Let p = a - 2. Suppose -p*l = -3*l. Solve -t = 4*u - 7, l = -5*t + 2*t + 5*u + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**2 - 5*r**2 + 2*r**2 - r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 3*t - 4*t - 2*t**4 + 0*t**4 + 2*t**3 in the form p + a*t**3 + i*t + y*t**4 + r*t**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/8 - 41*s**3\/2 - 9357*s**2\/4 + 521479*s\/2 + 161772961\/8.\nAnswer: (s - 161)**2*(s + 79)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Suppose -4*u + 4*y = -u - 16, 0 = -3*u - q*y + 7. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335881 is divided by 443?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(144) - (sqrt(144) + sqrt(144)*1 + sqrt(144)))*5)\/sqrt(8) + sqrt(648)*-1*-1)\/(-3*sqrt(600)*-2 + -2*sqrt(600)*5))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10)*(15 + -5). Let h(x) = 282*x + 11. What is the tens digit of h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + (-49 - 16 - -60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, 0.02, 2\/15, -5, -0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28534148 to the power of 1\/2, to the nearest integer?\nAnswer: 5342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 86 = 2*g, -2*w + 1 = -1. Let z = -39 - g. Solve 2 = -z*u - j, 3*u - 3*j + 6 + 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -25.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*c - 0*c - 38, 3*v = -2*c + 8. Are 9 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207 a factor of 2356776195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -9\/397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = -2*c, 3*c - c = -d + 4. Put c, 5, 2 in increasing order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20712*l**4 - 17570*l.\nAnswer: 248544*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31359189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 616 + 9?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/6 + 393*h**3\/2 - 1538*h**2 - 82570*h\/3 + 234200 = 0.\nAnswer: -12, 10, 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 22 = 30. Let k = 46 - l. What is the smallest common multiple of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 14*k. Let t be x(14). Determine d, given that -2\/11*d**2 + t + 2\/11*d**3 + 0*d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(13\/5)*(j*((j*j*j**(-3))\/j)\/j*j*j*j)\/j)**19\/((j**(2\/7)*j*j)\/(j**2\/j)*j*j\/(j\/(j**4*j))*(j\/((j\/j**0)\/j)*j)\/j) assuming j is positive.\nAnswer: j**(1439\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 8:39 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29\/886 (b) 10\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - -2*sqrt(152))\/sqrt(8))**2 + 1.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 9, l + 4 = h - 2*l. Let w be (h\/((-10)\/(-18)))\/1. Let d(k) = k**3 + 10*k**2 + 6*k - 6. Calculate the remainder when 41 is divided by d(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 3*x**2 - 6*x + 4. Let q be j(4). Let k(z) = z**2 + 5*z + 5. Let n be k(q). Is 2\/5 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(306\/(-2295))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2635 - -0.11.\nAnswer: 2635.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000330720087 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 + 132*c - 46. Let a be j(-22). Suppose 142 = -3*i - x, 0*i - 54 = i - 3*x. Let n = a - i. Solve -r - 5*l = 4 + 1, 4*l - 2 = -n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1716.5 - 2557. Let s = k - -840. What is the nearest to -2 in -1\/5, s, 0.2, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 6*f - 4. Let k be z(6). Let l be -3 + 1 + 10 + k. Let w be (l\/10)\/(12\/(-60)) + 5. Solve w*u + 2 + 13 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58, 247, 556, 985, 1534?\n\"Answer: 60*j**2 + 9*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h - 3. Let z be n(6). Let d = 0.03 + -0.33. Let i = 0.06 - 2.06. What is the second smallest value in d, i, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5520043487151 - -0.2\nAnswer: -5520043487150.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 174, 279, 478, 801, 1278, 1939, 2814?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.2 (c) 2 (d) -5.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*(2 + sqrt(539)) - -1*sqrt(539)*5))**2.\nAnswer: 504*sqrt(11) + 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 5*q - q)*(156 - 58 - 10).\nAnswer: 440*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let h(s) = s**2 - 4*s + 1. Let w be h(v). Let p(b) = -b. Let g be p(-5). Calculate the greatest common factor of w and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/15 in 6, 0.053, -3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)*y*y*y)\/y**1*(y\/y**(3\/8))\/(y**(10\/7)\/y) assuming y is positive.\nAnswer: y**(593\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d - 7. Let k be v(-4). Let p = k - -41. What is the tens digit of ((-1)\/p)\/((-1)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1481713928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149551.\nAnswer: 149551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -13 (b) -5\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 - 6. Let k be (-93)\/(-15) + (-1)\/5. Let v(p) = -p**2 + 4*p + 6. Let w be v(k). Let j(o) = -15*o**2 + 13. What is w*j(u) - 13*c(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3432, -3390, -3346, -3300, -3252?\nAnswer: -3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 3*a - 2. Let j = -29 + 30. Let d be q(j). Suppose -5*n - 3*y - 1181 = 0, d*n + 239 = -n - 2*y. Round n to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79.8 + -80. Which is the closest to r? (a) -3 (b) 5 (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.9, -200, -3\/56?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5123517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 63336*x - 2531852. Determine v(40).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/19)\/(g\/(g*g*(g*g**(-5\/7)\/g)\/g*g*g))*(g**(-1\/4)*g)\/(g*((g**33*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-16529\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 4:13 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - -334. Suppose 4*z = -7*k + 2*k + y, -44 = -z - k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1*14\/3. Suppose 5*o + r = 9. Find the common denominator of (10\/(-120))\/(o\/(-250)) and 23\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73674619 divided by -6.\nAnswer: 73674619\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 428542.6 micrometers?\nAnswer: 0.0004285426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -1\/21*r**7 + 0*r**2 + 0 - 8*r + 1\/15*r**6 + 0*r**3 + 1\/10*r**5 - 1\/6*r**4. Find o, given that x(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 + 1512 = -53*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1539 + 713. Let a = -863.7 - q. What is a rounded to zero decimal places?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-80898)\/(-45) - 176\/(-660) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(448)*-1) + 4.\nAnswer: 4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/((-112)\/84). Which is smaller: 18\/97 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. What is the tens digit of 2*(-1)\/z + 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeejeelelejjje. Give prob of picking 1 e and 1 l.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = -4*m. Let f = -174.95 - -253.95. Which is the biggest value? (a) m (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 12312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlsqllkkwljj. What is prob of picking 2 j, 1 l, and 1 w?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/11 (b) -0.5 (c) -1\/381 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -200\/83109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3*-1*-9)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 693*(-1)\/(-4) + 18\/24. Let l = y - -274. Suppose -5*d = -4*m - 560, 2*m + l = 4*d - 2*m. Calculate the greatest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 26. Calculate the remainder when 11 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9258 and 50812533.\nAnswer: 4629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39627 and 1849617.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010100011110111 (base 2) to base 10.\nAnswer: -141559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m = -442 + 73 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.65 - 34.15. Which is the closest to -1? (a) 17 (b) i (c) 0.047 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48543, 48545, 48547, 48549?\nAnswer: 48551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104000000 rounded to the nearest 1000000?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-2*(sqrt(891) + 1))**2 + 0 - (3*((3*(sqrt(891) + -2) - sqrt(891)) + sqrt(891)))**2) + -4) + 2.\nAnswer: -413584 + 17928*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:35 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1284\/7 + 1282\/7. What is the third biggest value in -0.6, i, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1045 * -1153.3\nAnswer: 1205198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(40)*1*1)\/((-3*(sqrt(80) + sqrt(80)*1 + sqrt(80)))\/sqrt(10)) + -2.\nAnswer: -2 + 4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 28 = -2*i - d, i = -d + 28. Let v be i\/3*(-1)\/(2 + -1). Let p(k) = k**2 - 9*k + 14. What is the hundreds digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from sumvzsuuusu.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01543 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = z + 2*u, -4*u - 10 = -6*u. Let b(y) = 24*y**3 - 3*y**2 + y + 7. Is b(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*a + 28, 1560*a - 1532*a - 48 = 4*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3717 is divided by 618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.7 + -6.8. Which is the third smallest value? (a) 0.6 (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, g: 4, p: 4, t: 7}. Give prob of picking 1 g and 2 p.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146122 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 11 = -2*p. Let n = 17 - p. Suppose -2*r - 47 = 5*v - 128, 0 = 3*v + 5*r - 60. Calculate the greatest common factor of v and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198.44 - -197. Let t = 1.64 + k. Let i(n) = n**2 - 5*n - 6. Let w be i(6). Which is the closest to w? (a) -7 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -11, -20, -31, -44?\n\"Answer: -m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(2 + -8))\/(22\/4). Let i = -662\/15 + 44. Which is the biggest value? (a) k (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.4119003 and -0.1.\nAnswer: -1.5119003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81)\/(sqrt(144) - sqrt(9)))\/(sqrt(30)\/(-1*sqrt(10))) - (-3 + -1*(-2 + sqrt(75) + sqrt(75))))*4)**2.\nAnswer: 928*sqrt(3)\/3 + 13504\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*p - 1 - 3 = 0, 3*p + 26 = 5*x. Suppose x*l - l = 84. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5541378g in nanograms?\nAnswer: 554137800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + 4 + -9 + 1. Solve -6 = 3*y - 2*c, 4*y + 0*y + r = -3*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2249715 is divided by 35151?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 2532 and -104697 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.875 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 36*u + 182 + 278, -u + 0*u + 282*x - 277*x + 7 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 355 or 359?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412040, -824065, -1236078, -1648079, -2060068, -2472045?\nAnswer: -2884010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-20) + (-216)\/(-15). Let q(p) = v*p**3 - 6 - 6 - 2 + 13. Calculate q(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*g - 2*h, -4*g + 14 = 3*h - h. Suppose 3*w = -3, 2*f - 2 = 3*f + g*w. Solve -4*s + 3*b + f = -18, -2*b = 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**3 - l**2 - l + 2. Let j be p(-2). Suppose -a + j = 24. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 12. Let b be t(-9). Suppose -6*q + 3*q + b = 0. Calculate the smallest common multiple of q and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*r - 7*r + 16836. Let p = r + 803. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 42*j + 162. Determine b(-33).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -41. Let y = -24 + x. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*8\/6. Suppose -s + 15 = o*m - 13, -2*s - 2*m = -52. Calculate the greatest common factor of 28 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 62*a**2 - 1. Give x(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/12 - 10*a**2. Let y(o) = 11*o. What is r(y(u))?\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1 + (2 + 0 - 1)*(1 - 1 - 1))*(2*a - 9*a + 22*a).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3595, 7113, 10619, 14107, 17571, 21005?\nAnswer: 24403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44543177?\nAnswer: 7, 109, 58379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -775*w + 10338 - 10338 to k*w + s and give k.\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 255 + -18359\/72. Let u(o) be the third derivative of -r*o**4 - 1\/120*o**6 + 0 - 1\/60*o**5 + 0*o + 0*o**3 - o**2 - 1\/630*o**7. Factor u(z).\nAnswer: -z*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -42.6. Let l = c + 14.699. Let j = -0.26 + l. What is j rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 - 160. What is the second derivative of 125*o**4 - 7*o**2 - 126*o**4 + 89*o + z*o**2 wrt o?\nAnswer: -12*o**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*f + 76 - 181 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b83 (base 15) in base 11?\nAnswer: -4540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/3 - 10*c**3\/3 + 17*c**2\/3 - 8*c\/3 = 0. What is c?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 19, -1117, 3, 7 in descending order.\nAnswer: 19, 7, 3, 1, -1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225435?\nAnswer: 5, 445087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:56 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 + 6. Let k(a) = -a**2 - 1. Let b(o) = -6*k(o) - s(o). Let g(u) be the third derivative of u**5\/10 + 9*u**2. Determine g(b(m)).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -122, -90, -1, 5, 4 in decreasing order.\nAnswer: 31, 5, 4, -1, -90, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*(-1 - -6). Let g(d) = d**2 + 12*d + 15. Let b be g(-11). Sort -1, f, b in ascending order.\nAnswer: -1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**2 - 4290*h + 1533675 = 0.\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 + 0*a + 16*a**2 + 1\/6*a**4 + 1\/3*a**3. Determine f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1998 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from {g: 11, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 10) to base 16.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i - 61 = -5*b, 0 = -4*i + 5*b + 197. Let m = i + -39. Solve 3*q = -4*y - 23, 0 = -4*q + 3*y + m + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from bxibidiixxiib.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwnn when four letters picked without replacement from {n: 3, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7174 and -40210?\nAnswer: 288466540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 9)*(b**2 - b**2 - b**4) - 4*b**4 - b**4 + 4*b**4 + 0*b**2 + 0*b**2 - 3*b**4.\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720*a + 9 - 361*a - 363*a.\nAnswer: -4*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38414794907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5, 128, 1, -2, -3 in increasing order.\nAnswer: -5, -4, -3, -2, 1, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1419, 2848, 4291, 5754, 7243, 8764, 10323?\nAnswer: 11926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423360 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -64*f**3 + 72*f**2 - 16*f + 17. Calculate i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/(-8) + (-4)\/8. Let r(d) be the first derivative of -2*d**2 + 0*d + 10*d - 18 + l. Find the first derivative of r(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.42? (a) -128 (b) -3.13 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 100. Let s = y - 32. Let t = s + 34. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 6. Give c(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + m**3 + m**3 + (m**3 + 0*m**3 + 0*m**3)*(1 + 2 - 2) - m**3 - 97*m**3 + 299*m**3 to a*m**2 + w*m + q*m**3 + n and give q.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 * -622447\nAnswer: 105815.99","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 937, 2593, 8243, 19885, 39517, 69137, 110743, 166333?\nAnswer: 237905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40243 + -250430?\nAnswer: -210143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*a + 1427, 2*a = 2*w + 828 + 600. Which is smaller: -713 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -173*q - 5745. Determine w(-33).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 634*j**5 + 65*j**4 + 2*j**3 - 3685873*j**2.\nAnswer: 38040*j**2 + 1560*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2092, 2093, 2094, 2095, 2096, 2097?\nAnswer: 2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4834728 + 391414\nAnswer: 5226142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.3 and -0.06?\nAnswer: -1.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*k = 0, -6 = 16*k - 5*k - 6*k + 19. Let 0*a + 2\/3*a**i - 2\/3*a**3 + 2\/3*a**5 - 2\/3*a**4 + 0 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228196 is divided by 19008.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5558454, 11116903, 16675350, 22233795, 27792238, 33350679?\n\"Answer: -n**2 + 5558452*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/7, -0.07, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-148)\/(-6))\/((-7)\/(-21)). Suppose -6*c = -q + 2. Suppose -c = -2*z - z. What is the highest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3, 5*r + 2*j = -2*j - 2. Suppose v = r*w - 32, -w - w + 5*v + 32 = 0. What is the units digit of (-138)\/(-5) - w\/(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 779.2 to the nearest 10.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = p + 1905, 2*z - 5*z + 2871 = 3*p. List the prime factors of z.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, 0 in increasing order.\nAnswer: -13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 89 = 4*h, -426747*y - 93 = -4*h - 426746*y for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 67. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let o(k) = 20*k**3 + 10*k**2 - 10*k - 6. Let q(g) = -4*g**3 - 2*g**2 + 2*g + 1. Let s(l) = -2*o(l) - 11*q(l). What is s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 3 - 4)*(i**4 + 0*i**4 + 2*i**4) to the form h*i**4 + z + p*i + n*i**2 + d*i**3 and give h.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-12) - 59\/(-6). Let k be (1 + 0 - 1)\/2. Let y = -35 + 35. Solve y = -f - k*f + 2*t + q, -t - 5 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1232 and -25\/32.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.07 + 0.07. Let m = b + 4. Let g = m + 3.9999984. What is g rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8215817 and 1737?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 - 10*y**2 + 12*y**2 - 32*y**3 + 31*y**3 - 10*y to the form f*y**3 + n*y + q + b*y**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*v = -9, 36*v - 26*v + 20 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-5)*(-75)\/30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 4063?\nAnswer: -4050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-63))\/((-26)\/182)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 301 = -4*f, -3*f + 3*j - 283 = -7*f. Let d be (-4)\/(5*(-6)\/(-870)). Let v = -91 - d. Calculate the remainder when f is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 minus -0.5?\nAnswer: -210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3 + 3 + 179*x**2 - 3*x - 180*x**2 + 5. Let q be j(-3). Sort -3, q, 3, -2.\nAnswer: -3, -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 50*w - 5. Let a(x) = 25*x - 3. Let c(p) = 5*a(p) - 3*m(p). Let u(i) = -21*i**2 + 13*i**2 + 7*i**2. Determine c(u(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 279 - 279. Let s be 418\/7 - (i - 4\/14). What is the highest common divisor of 36 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 9}. Give prob of picking 2 h.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2904 and 59070?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9754 + 14725. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7923, 7907, 7899, 7899, 7907, 7923, 7947?\n\"Answer: 4*a**2 - 28*a + 7947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13472575 to the nearest integer?\nAnswer: 3671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-18)*24\/44)\/((-68)\/2).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9513\/211, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 74*j**3 - 3*j**2 + 3*j - 3. Let i(p) = -21680*p**3 + 880*p**2 - 880*p + 880. What is -6*i(u) - 1760*o(u)?\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4 + 6. Let r be ((-18)\/10)\/((-30)\/100). What is the third derivative of 3*b**2 - 2*b**k + b**6 + b**r wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68499 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 169*s**3 - 22*s - 40*s**3 + 22*s.\nAnswer: 129*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2976 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 462 = -5*r, 0*w = 3*r - 5*w - 250. Calculate the greatest common divisor of r and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171*c + 450*c**3 + 509 - c**2 - 447*c**3 - 510 to the form h + o*c + n*c**3 + k*c**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563219 is divided by 209.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1704*m - 27257. Let i be t(-16). Let u = 26 - 15. Solve 0 = -i*f + 46 - u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -92, -95, -96, -95, -92, -87?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - 4*z**2 - z**3 - 21*z + 3*z**4 + 7*z**2 - z**2 as a*z**2 + t*z**3 + k + j*z + n*z**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*z - 2, -2*i + 6*i - 5*z = 117. Which is bigger: i or 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151759 + 6.\nAnswer: 151765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/702 and 47\/43501224.\nAnswer: 391511016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 2383693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 3) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -7*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1293 divided by 3\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 14. Let b be d(-7). Let j = b + -11. What is the remainder when j\/(-6)*3*23 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 10. Let o = -21.88 - 0.12. Let y = o + 22. Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**2 - 3*w - 3. Let g(f) = -f**2 - f - 1. Let y(s) = 4*c(s) - 28*g(s). What is h in y(h) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 108 - 4. Let c(n) = 7*n. Let o be c(8). Let h = o - -9. Calculate the highest common divisor of h and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 48 + 3 = 0. Solve -3*k = -2*i + 10 + 3, -k = d*i - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4709.51 + -4674. Let w = v - -25.56. Let j = 60 - w. Round j to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 18*a - 190 = -28*r - 6*a, -12 = -2*r + a for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108236011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)\/m*m)\/(m\/(m*m\/(m*m**1))))\/((m\/(m*m*m\/(m*m\/(m**(-2\/13)*m))))\/(m\/(m*m**(-1\/2)*m)))*(m**(5\/7)\/m**(-2\/9))**(2\/39) assuming m is positive.\nAnswer: m**(-2497\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*p + 107*p - r = 0, 3*p + 9*r = 12. Sort 5, p, -116, -1.5 in decreasing order.\nAnswer: 5, p, -1.5, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48203 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5110 = 232902*x - 232756*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.061 - 0.061. Let n = 6 + -3. Which is the closest to 0.1? (a) n (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 36*t - 76. What is the hundreds digit of f(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z + 48*z = 225. Let v(g) = 4*g + 141. Let b be v(z). Calculate the greatest common divisor of b and 1312.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 + 5*q**3\/3 + q**2 - 2*q - 1. Suppose -29*o + 30*o - 7 = 3*r, 0 = 2*r - 3*o + 7. What is c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22.67 (b) -2\/7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/4 + 831*o**2\/4 + 1404*o - 3645 = 0.\nAnswer: -270, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-30 - 16) + 10 + 21\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/6 + h**2\/2 - 10*h. Give d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 2:42 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-57)\/(-40014)*-26?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + 2*s - 2. Let w(z) = 2*z**3 - 2*z**2 - 5*z + 5. Let h(c) = 7*o(c) + 3*w(c). Let t be h(1). Sort 2, t, -1, 4 in increasing order.\nAnswer: -1, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2346 + 7390 = -2521*y, 0 = -2*g - 4*y - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*n - 52*n + 14*n)*(2*n**2 - 1 + 1) to o*n**2 + f*n + v + k*n**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21 - ((-1)\/(-1) - 2). Let p(z) = -4*z + 32. Let c be p(8). List the prime factors of r\/(-15)*(60 - c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/10031, -17, -0.1, 1 in descending order.\nAnswer: 1, -6\/10031, -0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 3*p**2 - 3*p**2)*(-29*p - 6*p - 3*p) - 4*p**3 + 2*p**2 - 2*p**2.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5634867\/347320 - -10\/8683. Let r be (-258)\/(-16) + (-9)\/(-6). Let b = z - r. Find the common denominator of 123\/20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 2249*y**7\/35 + 268*y**5\/15 + 12*y**2 + 2*y - 8. What is the third derivative of b(f) wrt f?\nAnswer: 323856*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-7) - ((-6)\/(-20))\/(7\/(-35)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3)*-1 - -4. Let z = k + 3. Let g(j) = 3 + j - 8 - 1. Give g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 14. Let n be v(-10). Suppose -6*h = -3*h - 9, -4*h + 12 = n*j. Suppose y - 2*r - 12 = 0, j = 2*r - r + 2. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15698398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-4))\/(2548\/(-232) + 11)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1809 and 2814?\nAnswer: 25326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*y + 27*y - 51*y - 4)*(-1 + 2*y**2 + 1) + 5*y**3 - 8*y**3 - 14*y**3 - 2*y**2 to the form q*y**3 + g + s*y + k*y**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35056 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/((w*w\/w**12*w*w)\/w)*w)))**(-47))**41 assuming w is positive.\nAnswer: w**(-21197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12 = 0, -5*d + 5*b + 150 = 55. Calculate the smallest common multiple of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {l: 2, u: 2, g: 6, z: 1, d: 3}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + 16)*135*-2. Calculate the remainder when (a\/75)\/((-4)\/(-30)) is divided by (-1)\/(6\/(-20))*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times -37.29\nAnswer: -0.26103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 4, v: 4, p: 1, n: 2, x: 1}. What is prob of picking 2 o and 1 p?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from qqbbqtqtmmttqomqq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/34 and -95\/54?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-191)\/((-11269)\/(-1298))*((-10)\/4 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2395 = -2*x. Let u = -235 + x. Suppose 2*v - 6*v + u = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 618 and 397786?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 2 - 109816*y**4 - 3*y**3 + 110370*y**4 - 2*y + 2*y**2 to the form h*y + w*y**2 + g + n*y**4 + x*y**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121)*3)\/sqrt(11) - (0 + -4 + sqrt(44)\/sqrt(4))**2.\nAnswer: -27 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 6, n: 1, i: 1, c: 3, h: 1}. Give prob of picking 1 k and 1 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8045 + 8045 = 0. Suppose r = -80*y - 163 - 237. Suppose -2*p + 17 = -3*a, 5*p - 22 = p + 2*a. Sort p, -2, y in increasing order.\nAnswer: y, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/60069360 and 62\/45.\nAnswer: 180208080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-10)\/w)**(-36) assuming w is positive.\nAnswer: w**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -1, -738 in increasing order.\nAnswer: -738, -131, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11337527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -116*g + 7755. Determine u(67).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 take away -27876?\nAnswer: 27662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-11)*(-15)\/(-5) + 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29553584737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 2. Let g(m) = 12*m + 7. Determine -2*g(w) - 7*r(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -217532.21 - 0.08\nAnswer: -217532.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-2\/23)\/x*x))\/x)**(-5) assuming x is positive.\nAnswer: x**(220\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + j + j - 289*j**2.\nAnswer: -289*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168.7 - -230. Let l = 61 - j. Let s = -12 - -17. Which is the biggest value? (a) l (b) 4\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/2 - 65*c**4\/2 - 122*c**3 + 13608*c**2 - 63504*c + 74088 = 0. What is c?\nAnswer: -42, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136079.4 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0*z - 2\/3*z**3 + 51 - 1\/24*z**4 - 2*z**2. Give p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(51)*-2)\/(sqrt(6)\/sqrt(2)*3).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 13 = -3*s, s + 9 = -4*u + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8 + 8*f**2 + 2 - 3*f**2 - 6*f - 2*f**2. Let p be v(-4). Find the second derivative of p - 66 - 5*a + 5*a**5 wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138\/25 + -5407\/975. Which is the smallest value? (a) g (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((3 - 0)\/6). Suppose 0*o - b*o = -48. Suppose 0*h + 5*h = 0. Solve h = -0*q + 3*q - o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 8*s - 14. Let c = -37 - -89. Let i be 8\/c + (-108)\/26. Let r be m(i). Does r = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 9*j - 8. Give a(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 10*a**4\/3 - 23366*a**3\/3 + 4309684*a**2 + 851945720*a\/3 + 338708144\/3 = 0.\nAnswer: -59, -2\/5, 1198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45586 or -51728?\nAnswer: -45586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j**3 + 48 + 0*j**2 + 0*j - 1\/15*j**6 + 8\/25*j**5 - 3\/10*j**4. Factor l(x).\nAnswer: -2*x**3*(x - 3)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - 60 - (2 + -11 - (-2 + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 379 + -374. Solve s = 8*i - 12*i + 7, -s + g = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipzzoiioozozzziiirrz. Give prob of sequence rzzo.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1578 + 5041. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 20. Let y be j(-10). Find the third derivative of -5*f**2 + y*f**2 + 3*f**3 - 3*f**3 + 10*f**6 wrt f.\nAnswer: 1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -449 + 449.0705. Let c = 0.08 - z. Round c to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8b8 (base 12) to base 14\nAnswer: -684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82046 is divided by 41007.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {y: 1, h: 1, l: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 424.\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -4, -9, -14, -19?\n\"Answer: -5*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) - (sqrt(252)*1 - sqrt(252)))\/(-2*sqrt(200) + sqrt(2)))\/(1*1*sqrt(7)*-4*4))**2.\nAnswer: 1\/46208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-2\/11)*j))\/j)\/j)**(-3\/26)*((j\/(j*j**(1\/6)\/j))\/j)**(23\/3))**(-18) assuming j is positive.\nAnswer: j**(2452\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227091*m**2 + 3*m**3 + 227091*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11612\/27 - -430. Is r >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 4*s - 194 - 361 = -3*s - 7*j, s = -3*j - 81 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 18. Suppose -14 - 7 = 3*d. Calculate the remainder when 48 is divided by t(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2. Let t(b) = b - 58. Determine t(z) - 5*w(z).\nAnswer: z - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:37 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*u - 1, -v - 4*u + 15 = u. Suppose 0 = 3*b - 0*j - 5*j + 1, 4*b - v*j = -3. What is the units digit of (b + (-4)\/5)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 83 (b) -0.5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 24*p**2 - 29*p - 82. Determine k(-25).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zviiiiiiiwovizzvin. What is prob of sequence vzo?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:15 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbbo when four letters picked without replacement from {b: 3, r: 6, o: 2, x: 8}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1635 - 633 - 293)*(8 - 2*p + 1 - 3) in the form g + r*p and give r.\nAnswer: 5122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74837 - -74841. Find s, given that 2\/5*s**2 - 6\/5*s - l = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610670 (base 8) in base 14?\nAnswer: -53436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.048 and 9.942.\nAnswer: 9.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 1, h: 1, n: 7, r: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.265 + -0.146. Round l to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17273\/175 + -2464\/25. Let q + 6\/7*j - j**2 = 0. What is j?\nAnswer: -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.9386 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, l: 1, r: 1, s: 1, x: 1}. Give prob of picking 1 x, 2 u, and 1 r.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -93*d + 95*d - 2*x, 0 = -x. Factor -43\/4*k**3 - d - 14*k - 11\/4*k**4 - 73\/4*k**2 - 1\/4*k**5.\nAnswer: -(k + 1)**3*(k + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301 smaller than 4301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*g**3 - 308*g**3 + 1023*g**3 + 160*g - 355*g**3.\nAnswer: -58*g**3 + 160*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2 + 0))\/(30\/6). Sort z, 0.5, 2.\nAnswer: z, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160781742 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11133 + 112013?\nAnswer: 123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/60 - 13*h**5\/60 - h**4\/24 - 2*h**3\/3 + 15*h**2. Is s(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000573284 to six decimal places.\nAnswer: -0.000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -1755 + 355. Let g(z) = 30*z. Let j be g(5). Calculate the greatest common factor of j and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - d - 11*d - 5*d - 6*d + 13*d + 4*d + (-3 + 0 + 2)*(2*d - d - 3*d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6 = 2*d + 2, 4*d = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (567\/378)\/(3\/(-236)*-1)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -168.69556 bigger than 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-3)))**(4\/9) assuming y is positive.\nAnswer: y**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5)*(-1 + -9). Let j = 15 + -12. Solve 0 = k*s + 5 + j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w - w - 1)*(-6 + 0 + 4) + 4*w + w - 4*w + (2*w + 1 - 1)*(2 + 0 + 0).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002 + -121221?\nAnswer: -111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131\/2 - -67. Let m = -121\/536 + -10\/67. Which is the closest to 0? (a) l (b) m (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3263 from -132.639109.\nAnswer: -132.965409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 2*n + 11. Let m be -1 - (-318)\/4 - (-14)\/(-28). Let r = m - 78. Let f be d(r). Solve 3*b + 3*v = -b + f, 4*v = -4*b + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**11*h**(8\/7))\/(((h*h*h*h*h*h**(1\/2))\/h)\/((h*h\/(((h**(-12)\/h)\/h*h)\/h*h)*h*h)\/h)) assuming h is positive.\nAnswer: h**(37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:29 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13740 and -0.5?\nAnswer: -6870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1366, 5461, 12286, 21841?\nAnswer: 34126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -1361*s**7\/42 + 175*s**4\/12 + 5*s**3\/6 + 3*s**2 + 187. Find the second derivative of k(t) wrt t.\nAnswer: -81660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4130 + 4129.5282. Let j = 0.579 + a. Round j to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let s(z) be the first derivative of 0*z + 15\/2*z**2 - 76. Give l(s(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*y**(3\/7))\/y)\/y)*y)**14 assuming y is positive.\nAnswer: y**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 690040.3 litres?\nAnswer: 690040300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f - 12*f + 10*f)*(f - 4*f + 4*f)*(123*f**2 + 136 - 136).\nAnswer: -1968*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7467 * -3\nAnswer: -22401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Suppose 3*l + p = 8, 4*l + 3 = -g*p + 19. Suppose -l*q - 2*m = -q - 39, 63 = 2*q - m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 2. Let z = j - -9. Calculate the remainder when 27 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 + 20*v**2 - 3*v + 15. Let h(i) = -17*i**3 + 80*i**2 - 11*i + 61. Let t(g) = 2*h(g) - 9*w(g). What is the tens digit of t(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12)*-4)\/(5850\/100 - 58)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.93954224 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 50.949274.\nAnswer: -101.898548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -33. Let p = 17 + -25. Let q = p + r. Sort -5, q, -1\/4 in descending order.\nAnswer: q, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -36, -59, -82, -105?\n\"Answer: -23*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974140 (base 11) in base 9?\nAnswer: -10533575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from ttmkkkkkmmtt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let k(m) = -m**3 - 9*m**2 - 14*m + 18. Let h be k(-6). Let b be -3 + h + 480\/54. Is v <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8237.\nAnswer: 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187458 and 187458.\nAnswer: 187458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (130\/(-20) - -4)*(-6)\/(-15)*-88. What is the greatest common factor of 236 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6 - k**2 + 3*k + 6. Let a be b(3). Let j(i) be the third derivative of -i**5\/60 - i**4\/24 + 20*i**2 - 2. Calculate j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z. Let r(g) = 7*g**2 + 65*g**2 - 5*g**2 - 32*g**2. Determine m(r(n)).\nAnswer: 140*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdfdxff. What is prob of picking 1 f and 1 x?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -97. Put f, 1\/4, 0.5, -35 in decreasing order.\nAnswer: 0.5, 1\/4, f, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*k + 10 + 12, x - k + 7 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 401?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356 + -355. Is 2\/23 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130257067.\nAnswer: 29, 4491623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167, 330, 493, 656, 819?\n\"Answer: 163*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 405*a**2. Let y(v) = 219*v**2. Determine h(y(n)).\nAnswer: 19424205*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)*r)**(-2\/19)*r*(r\/r**(2\/7))\/r*r**(-2)*r assuming r is positive.\nAnswer: r**(-288\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/((-1)\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116.51 and -5?\nAnswer: 582.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 10*q + 15. Let s be f(12). Sort 0, s, 5 in increasing order.\nAnswer: s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 - 119. Solve 0 = r + 5*l + 10, 4*r + u*l - l + 10 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 4*a + 5*a + a + 15*a - 15*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 3*x + 3 + 4 - 5. Let j be u(0). Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 9*a. Let n(j) be the first derivative of 0*j + 2 + a*j**3 - j**2 + 1\/2*j**4. Factor n(x).\nAnswer: 2*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3 - 3*p**2 + 6 - 3. Let f be 4\/(-18) + 2\/9. Let v(l) = f*l + 1 - 1 - 3*l. Give t(v(m)).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3*b = -10. Suppose b*l - 5*h - 772 = 0, -4*l = 3*h - 7*h - 1544. What are the prime factors of l?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/36 - (-5 - 35\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, y: 1}. Give prob of picking 3 d.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.95 - 0.05. Let r = 16 + w. Let k = r + -12.00065. What is k rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c21 (base 15) to base 16.\nAnswer: -aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538855.\nAnswer: 3, 5, 11, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 64\/3*g + 13\/3*g**2 - 1\/3*g**3 + 68\/3 = 0. What is g?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 452 - 295. Suppose 96*f + 8377 - 1857 + 2408 = 0. Let t = f + j. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*6\/(-28) - (-93)\/21. Solve -6 = -2*w - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5 times -0.1?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2204 + 467 = -3*c - 5*d, 2*c - d - 1171 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(32)*5 - ((sqrt(32) - sqrt(2)) + -2)) + 2.\nAnswer: 4 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from fssmimsisiiss?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31782*w - 124 = -31751*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/6 + 23*a**2\/6 - 311*a\/2 + 855\/2 = 0 for a.\nAnswer: -45, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*z**3\/4 + 19*z**2\/2 - 115*z\/4 + 16.\nAnswer: (z - 1)**2*(13*z + 64)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.4 - 46. Which is the fourth biggest value? (a) -4 (b) -45 (c) 0 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Let x(v) = -2*v**3 - 9*v**2 - v. Let p(t) = 6*b(t) + x(t). Let d be p(-2). What is the units digit of (46\/d)\/((-13)\/(-78))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*w**4\/7 + 23902*w**3\/7 - 31520*w**2 + 469856*w\/7 - 3840 = 0. What is w?\nAnswer: -840\/17, 1\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180 - 168. What is the smallest common multiple of ((-4)\/(-4))\/(-1) - -7 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 269*r**2 + 262*r + 2663. What is o(270)?\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 195\/2608, -1\/3.\nAnswer: -1\/3, 195\/2608, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 20*u + 7. Let o be v(6). Let j(d) = 36*d**2 - 3*d - 14. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) + 4667\/26. Let t = -40 + q. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let b be l(-5). Let z(f) = 10*f**2 - 13*f - 4. Let a(r) = -5*r**2 + 9*r - r**2 - r**2 + 3. Let y(x) = b*z(x) - 7*a(x). Solve y(n) = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {n: 2, k: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12410926 rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*a - 92*a + 8. Suppose a*o = -5*b + 4393, 5 = -2*b + 7*b. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*x - x - 48, -4*x = -y + 36. Let n = x + 40. Let q = -18 + n. What is the least common multiple of 8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150381660 and 4004?\nAnswer: 1052671620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-83.2.\nAnswer: 5.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 2 + 2 + (-3 - r + 3)*(-4*r - 1 + 1 + (6 + 5 - 5)*(-9*r + 2*r + r)) in the form l*r + n*r**2 + d and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 50 - 30 = 0. Which is greater: i or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*o**2 - 3)*((0 - 1 + 3)*(-3 - 3 + 8) + 6 - 2 - 3 - 3 + 0 + 1 + 75 - 55 + 65 + (3 - 1 - 1)*(2 - 1 - 2)) in the form x*o + z + g*o**2 and give g.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -191\/262 (b) 3 (c) 29 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-6) - (44 - 50).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - sqrt(110)*-1*5)\/(sqrt(1440)*2) + -1.\nAnswer: -1 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:28 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + g - 556 = -g, 4*g = -16. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9 + 0*a - 5*a - 4 + 5. Is y(-9) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*f = -31, -8*f + 3*f = 25. What is the tens digit of -6*(b\/(-6) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzs when three letters picked without replacement from szsv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l = 2540. Suppose 0 = -6*p + p + l. Suppose 2*a - 4*a = -p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a - 1. Let z be 1 - 2 - (6 - 7). Let i be q(z). What is the units digit of (i\/(-2))\/(2\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4926547085.\nAnswer: 5, 41, 24031937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*h**3 - 4*h**4 + 36*h**3 + 5*h**4 + 27*h**3 - 93 to the form o + p*h**3 + d*h**2 + k*h**4 + i*h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 342803361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244820927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, -13.5, 0.4, 73 in ascending order.\nAnswer: -13.5, -0.5, 0.4, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -8*x - 2. Let g(v) be the second derivative of v**5\/20 + v**4\/4 + v**3\/2 - 3*v. Let l be g(-2). What is the second smallest value in x, l, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(604\/204 - 3). Let n(k) = 5*k**2 + 3*k. Let o be n(-4). Calculate the greatest common factor of z and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 238\/9 (c) 0.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(931) + (-3*sqrt(931) - sqrt(931))**2 - sqrt(931))*5.\nAnswer: 74460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.067209 and -0.2?\nAnswer: 0.0134418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*y - 3*y. Suppose 0 = 8*g - 34 - 6. What is the remainder when y is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-36))\/((-125)\/75)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 6:13 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279.4538 - 1365679.4538. Let b = -1365399.6199954 - o. Let i = b + -0.38. What is i rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9802 = 278*i + 5476 - 2763 - 561 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-153)\/63)\/(18\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*i + 29892*a**2*i - 3*a*i + 4*a + 5*i - 1 wrt a.\nAnswer: -12*a*i + 59784*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeeceeeceeeeeeeeee.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -17. Solve 2*v = -i - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003 (base 16) to base 10.\nAnswer: -8195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 7, x: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 218.91 and -1.6.\nAnswer: -350.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*o*p**2*s**3 - 46*o*p**2*s**2 + 9*o*p**2*s + 3*o - 1249066*p**2*s**3 + p**2 + 2*s - 1 wrt s?\nAnswer: 132*o*p**2 - 7494396*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 4*g + 8. Let s be k(8). Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -21*j + 118. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 4*g**2 + 2*g + 3. Let h be d(3). Let l(s) = s - 2. Determine l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -610, 180?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 61*r. Let g(t) = 3*t**2. Calculate o(g(u)).\nAnswer: 183*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-1)*3\/9. Let v be 10\/(-3 - (i - 7)). Suppose -2*w - 89 = -3*c - w, 0 = -2*w - v. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 3*m**2 + m - 1. Is y(3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20))\/((-195)\/(-585)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/33 and -20\/531.\nAnswer: 5841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 49. Let n be c(10). Suppose 2*b + n = -3. Let a = 30 + b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akak. Give prob of sequence kak.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/13 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feeff. Give prob of picking 2 e and 2 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 113 = -2*n - 35, 0 = 4*a - 4*n - 72. Let x(q) = -4 - q - 8 - 3 + a. Let f be 9*(-1)\/(-3)*(-4)\/(-3). Calculate x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11123 is divided by 337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 7:16 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 27. Let m = 398 + -364. Which is the fourth biggest value? (a) -1\/5 (b) m (c) -4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + t - 7, -5*t + 25 = -5*z. Let v(f) = -f. Let i(x) = -3*x**2 - 6*x - 1. Let b(a) = -i(a) + 6*v(a). What is the units digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 - 43*b**2 - 87*b + 1520. Give x(14).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -36500713.\nAnswer: 109502139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17484084 divided by -219?\nAnswer: -79836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230447480 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1644 + 1659. Put 4\/5, -1\/4, l, -2\/15 in descending order.\nAnswer: l, 4\/5, -2\/15, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 357. Calculate the greatest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 165, -14613, 0 in descending order.\nAnswer: 165, 0, -4, -14613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 24*f + 83. Let h be m(27). Suppose -1171 = -h*r + 3*g, 7*g - 5*g - 10 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.38817 less than 16?\nAnswer: 47.38817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = 0, v - 25*h = -26*h - 415. Let i be (-2 - 0)\/1 + 366. Let m = i - v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-5382)*36*-69?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4594136 by 42.\nAnswer: 2297068\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 620348 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -1, 31, -50.\nAnswer: -50, -1, 4, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 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: Collect the terms in 19*r**2 + 28*r**2 - 43*r**2 + 8*r**2 + 23*r**2 + 2*r**2.\nAnswer: 37*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (-5 - 10). Let q = -287 + 302. Which is smaller: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*a + 6, -7*a + 2*a + 4 = 3*p. Let w(b) = -b. Let c(z) = z. Let y(k) = p*c(k) + 2*w(k). Let v(h) = 3 - 2*h - 10 + 7. Give y(v(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139066 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2952)\/(-300) - 12)\/((-6)\/(-20)). Let n = 34\/5 + t. Let k be -1 + 0\/((-1)\/(-1)). Which is the biggest value? (a) n (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/12)\/(1 - (-10)\/(-16)). Let u = 5.8 - 0.8. Let o = u - 1. What is the second smallest value in o, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 6) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/210 + 13*w**4\/24 - w**3 + 16*w**2. Let d(c) be the first derivative of q(c). Differentiate d(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 - -2 - 2 - 3. Let q be -2*(-1)\/(8\/f). Suppose -2*o = q*o - 10. Solve 2*b + 2 = -o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 2*w)*(w**2 + 7*w**2 - w**2) - 4*w**3 + 16*w**3 - 2*w**3.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1200 - 74?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5482 * -6.8.\nAnswer: 37277.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2272 or -1016?\nAnswer: -1016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {s: 4, w: 3, m: 3, n: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 3. Let f(k) = -109*k - 15. Give f(t) - 5*w(t).\nAnswer: -104*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 1:40 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from ooffijofin?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-2)*5\/(-10). Suppose r = h + 2. Calculate the remainder when 37 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 14716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51867660 rounded to the nearest one hundred thousand?\nAnswer: 51900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3))**(2\/51)*(t\/(t\/t**(-13)))**(-1\/29) assuming t is positive.\nAnswer: t**(547\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) 0 (c) 1001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {k: 12, j: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h**0)\/((h**0\/h)\/h*h)**(1\/19)*(h\/(h**1\/h))**(-21)\/(h**(2\/7))**(-1\/39) assuming h is positive.\nAnswer: h**(-134551\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t - 5*t)*(-13*t + 4*t - 50*t + (-1 - 2*t + 1)*(-2 + 2 + 2)).\nAnswer: 378*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -26*j**3 + 542*j**2 - 2285*j + 100. What is z(15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.305 times 2.657\nAnswer: 8.781385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 8*g - g**3 + g + 5 + 8*g. Let b be c(0). Solve u + b*i = -6 - 18, 4*i = 2*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6952, 13868, 20782, 27694, 34604?\n\"Answer: -o**2 + 6919*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22002112 (base 3) to base 14.\nAnswer: -2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 - -204. Let x be (-260)\/(-208) + i\/8. Find t, given that 2\/3*t**3 - 2\/3*t + 1\/3*t**x + 0 - 1\/3*t**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-15) + (-376)\/(-10). Let z = b - 4. Suppose 5*g = 4*j - 16, -j + z = j + 4*g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 - u**4\/2 + 5*u**3\/6 - 7*u**2\/2 - 2*u. Give g(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*((sqrt(390)*-2 - sqrt(390)) + sqrt(390) - sqrt(390)))\/((sqrt(80)\/sqrt(2))\/sqrt(4)))\/((1*sqrt(15)*6)\/((sqrt(360) - sqrt(40))\/sqrt(8))).\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = 2*r + p, 6*r - 5*p = 5*r + 182. What are the prime factors of r?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 272837917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -0.1, 3, -3, 8\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 + 189 = 109*t - 643 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/48 and 139\/9768.\nAnswer: 19536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 2*h + 5*h - 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/33*(-9)\/18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3679346, -27, -2 in decreasing order.\nAnswer: 3679346, 1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3496 and 9614?\nAnswer: 38456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39036, 39057, 39098, 39165, 39264, 39401, 39582?\n\"Answer: y**3 + 4*y**2 + 2*y + 39029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1835*a + 4*l = -1834*a + 5, -19 = 16*a - 3*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w - 10 = 0, 4*d - 22 = 3*w. Calculate the greatest common factor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 134843370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1396*w - 1121*w + 3920*w - 1402*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 14. Suppose -3*r + 4 = -2*r - c, -5*c + 4 = r. What is the units digit of 2\/r*(-72)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 11 + 34 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8640*h + 406031. Determine b(47).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83630 rounded to the nearest 1000?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*n**3 + 21950*n - 21950*n - 216*n**3 - 133*n**3.\nAnswer: -470*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 6*m = -205. Let j = 45 - m. Suppose 42 + 6 = j*c. Calculate the least common multiple of 2 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 18097 less than -50091?\nAnswer: -68188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 3*k + 1. Let r = -17 + 10. Let x = -10 - r. Let q(p) be the first derivative of -p**3 - 4*p**2 - 2*p - 1. Give x*q(t) - 8*h(t).\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruwwwrwuruwuwuwuuruw. What is prob of sequence ww?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7) + 2080\/(-700))\/((-22)\/220)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -4, 0.4, 5, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6 = -2*m, -v - 2 = -3*v + 3*m. Let z = v - -7. Let h be 2\/9 + z\/(-9). Sort -5, h, 4\/9.\nAnswer: -5, h, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 932 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3)\/((-10 + 9)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 + 2*z**2 + 5 - 3*z**2 + 0*z**2 to q + a*z**2 + k*z and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 266\/(-6))\/((-8)\/(-36)). What is the third derivative of 2 - 2 - z*w**3 - 29*w**2 + 246*w**3 wrt w?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 11127 in decreasing order.\nAnswer: 11127, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -161011?\nAnswer: 161017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 1:21 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 1. Let r(a) = 4*a**3 - 2. Let d = -339 + 341. Calculate d*j(y) - r(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 92. Let n be h(0). Let m be 1*4*n\/(-8). Let o = 64 + m. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((6 - -10) + 4)*(-4149)\/(-12)?\nAnswer: 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9487 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12313?\nAnswer: 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v + 310 = 0. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632323739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*h**2*j**2 - 12*h**2 + 849*j**2 wrt h?\nAnswer: 110*h*j**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284009873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {l: 3, v: 4, c: 4, m: 3, n: 4, s: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*-2 - -2. Suppose -3 = -2*v + g. Suppose v*n = -n. Let o(d) = d - 5. Determine o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -120631163?\nAnswer: 120631154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20011653 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90.2 - -90.1. Suppose -7*s + 3*s - 12 = 0. What is the biggest value in v, -1\/4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 8. Let x(d) = d**3 + 7*d**2 - 9*d - 3. Suppose 0 = u + 3 + 5. Let f be x(u). What is p(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 9. Let z be w(-5). Which is the closest to 0.1? (a) 7\/2 (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16893\/15 + 2 + -2. Let s = 1122 - z. What is the common denominator of -47\/6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - l**2 + 3*l**2 + (18 - 6*l - 18)*(1 - 1 + 10*l) + 10*l**2 - 16*l**2 - l**2 in the form v*l + d*l**2 + j and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 20, 4 in ascending order.\nAnswer: -2, 4, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70099, -280255, -630515, -1120879, -1751347?\n\"Answer: -70052*q**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*7\/(28\/1)*(-24)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:24 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.1 (c) -0.5 (d) 476 (e) -2\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -204260 rounded to the nearest one thousand?\nAnswer: -204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106272 and 132840?\nAnswer: 531360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -9\/7 (c) 1.24 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(3*u + 3 - 3) - 2*u + 4*u - 4*u + (4*u - 4*u - 2*u)*(2 - 4 + 4) + 3*u + 0*u - 5*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*o**4 + 9*o**3 + 36.\nAnswer: -148*o**3 + 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2072075800603 + 2072075800603 - 7*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 30666, 1, -5 in descending order.\nAnswer: 30666, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n + 636 - 488 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 587\/2 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from ddgddggd?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3145 - -1b?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72.2 + 277.8. Let y = -349 + g. Which is the biggest value? (a) 24 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 6893467 + 6893467.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 212007, 5, -12 in decreasing order.\nAnswer: 212007, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.596238727 to two decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 + 6*t - 3. Let j be u(5). Let g be (-27)\/6 - j\/4. Does -2 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*t - 252 = 0, 270 + 44 = -5*i - 3*t. Let z be (3\/(-2))\/(6\/i). Suppose 3*l + l = z. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2830, -1, 33 in decreasing order.\nAnswer: 33, -1, -2830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and (5 - 2) + (-13)\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 34. Let w = l - 31. Solve -p - w*p - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 999 and 346888764.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 + 16\/2. Suppose -2*t = -4*t + u. Let g(d) = 0*d**3 + 3*d**2 - t*d - 6*d**3 + 0*d**3 + 2 + 4*d**3. Give g(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464391 plus -2999?\nAnswer: -1467390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604970 is divided by 1060.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3469750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*u + 8. Let z(p) = -5*p**3 + 4*p + 2*p**2 + 3*p**3 - 4 + 0*p. Let m(w) = w + 5 - 4 - 5 + 3. Calculate u*z(t) - 4*m(t).\nAnswer: -2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v - 1. Let c be h(-2). Suppose -2*m + 105 = -m. What is the greatest common divisor of m and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 40 = -8*h. Let s be ((-4)\/h - 0)\/((-4)\/6). What is the closest to 0 in s, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2119705823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22975429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 1:33 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296408 = 24*x + 295712 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**20\/d**(-21))\/((d\/(d**(-1\/7)*d))\/(d*d*d*d\/(d\/((d\/(((d\/(d*d**(2\/65)\/d*d))\/d)\/d)*d)\/d))*d*d)))**(-13) assuming d is positive.\nAnswer: d**(-22244\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**0)**(-10\/3)*(z**2)**31)**(1\/3) assuming z is positive.\nAnswer: z**(166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 12*s + 18. Let l be m(13). Suppose -2*o + l - 7 = 0. Let u(y) = 2*y**2 + y. What is u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111232 (base 6) in base 9?\nAnswer: 13772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let z(a) be the third derivative of 2*a**2 + 0*a + 0*a**3 + 0*a**4 - 1\/12*a**5 + 0. What is u(z(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 15*o**2 + o - 9. Let z be i(15). Let s be 5\/30*z - (1 + -1449560). Suppose 7*b + s + 1350440 = 0. Round b to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -3.5. Let r = -1 + 3. Which is the closest to l? (a) 0.3 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 2*j + 16*j + 2*j to the form h + u*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.606 times -4?\nAnswer: -2.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 8*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -182.86 rounded to zero decimal places?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-539)*(-14)\/(-12).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -28. Let a = 0 - 3. Let w be (a\/4)\/((-5)\/80). What is the greatest common factor of c and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 455152, 455139, 455110, 455059, 454980, 454867, 454714?\n\"Answer: -j**3 - 2*j**2 + 455155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240712 is divided by 85.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 50610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60413303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385 divided by 5557.\nAnswer: 385\/5557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-338)\/(-18) + 6\/27. Let z be ((-26)\/8)\/((-2)\/(-8)). Let a = z + l. Solve 0 = -w + a*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - -53) + (-86 - -19).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/24*3*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.397 + 0.42. Let p = -0.023 + u. Which is the nearest to 1\/5? (a) 1 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -17*i + 80. Suppose 0 = 6*v + 7 - 43. What is the greatest common factor of i and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 2. Let i(g) = g**2 - g - 1. Suppose -10 = -v - 4*v. Let l = v + -3. What is l*m(r) - i(r)?\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - v - 416 = 2*v, -5*r + 2*v + 414 = 0. What is the lowest common multiple of r and 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 437990.2 to the nearest one hundred.\nAnswer: 438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1356, 1348, 1332, 1302, 1252, 1176?\n\"Answer: -m**3 + 2*m**2 - 7*m + 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = -f + 27, 3 = w. Calculate the lowest common multiple of 44 and f.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5634461 (base 7) to base 5\nAnswer: -134313101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -734582 by -12.\nAnswer: 367291\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n**3 + 2*n**2 - 3*n + 2. Let v(z) = 13*z**3 - 3*z**2 + 4*z - 3. What is -3*c(q) - 2*v(q)?\nAnswer: 13*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewrwrwwerwrwyrwwewy. Give prob of sequence eeye.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 869074?\nAnswer: 5214444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 - 1 = 0. Let x be (-20)\/6*264\/q. Suppose -x = -d - d. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -6)*(-2)\/4. Let m(j) = -j. Let t be m(-2). Let y(n) = -n - t + n - n + a. What is y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w**2 + 3*w - 900. Let m(c) = 2*c**2 + c - 1. Determine -5*m(a) + x(a).\nAnswer: -a**2 - 2*a - 895","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/47 smaller than -1.83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 2*u**2 + u - 4. Determine b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 20. Suppose 4*n - u = 255, -4*n - 2*u + 261 = 3*u. Suppose -4*z = -68 + n. What is the second biggest value in r, -27, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 37 = -3*k, -10*k + 16 = -4*l - 11*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o**(-2\/3)\/o)*o*o)*o**(-14\/3) assuming o is positive.\nAnswer: o**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440 (base 5) in base 6?\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjff when four letters picked without replacement from {f: 4, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11816471 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**6))\/w*w**(2\/11))**12\/(((w\/(w*w**(-2\/21))*w)\/(w*w**(-2)))\/(((w**0\/w)\/w*w)\/w)**(-28\/9)) assuming w is positive.\nAnswer: w**(45952\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509.47463 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*h + 8*h = 134, k + 79 = 5*h. Do -59 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217689.\nAnswer: 3, 149, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0422 take away -0.02?\nAnswer: 0.0622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -9*v**4\/2 - 138*v**3 - 2637*v**2\/2 - 3861*v - 2028 = 0.\nAnswer: -13, -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 771 - -6a?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121093 + 165674 = 41*g + 2227. Calculate the highest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + 67. Suppose 5*f = -5*v + s, -v + 18 = -2*f - 2. Suppose -5*y - 25 = 0, 0*y - 3*y = 5*q - 5. Solve 2*d - q*h = -18, -5*h = -4*d + 3 - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*r + 380 + 751 = -141*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1777*-0.1\nAnswer: 177.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 51*r**2 - 49*r - 35. Give u(-52).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 123.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:31 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 35. Let m be n(11). Suppose -604 = -5*p + u - 3*u, -m*p + 250 = -2*u. Suppose -v - 4*x + p - 31 = 0, 3*x = 0. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7638*f - 4940 = 7768*f for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.89142 to 2 decimal places.\nAnswer: -2.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551, -4295, -14377, -33941, -66131, -114091, -180965, -269897?\nAnswer: -384031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.143173 kilometers in millimeters?\nAnswer: 7143173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 147*h**5 - 98595*h**4 + 16665141*h**3 - 44428689*h**2 - 13715376*h - 1004004 = 0.\nAnswer: -1\/7, 3, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*g**3 + g**2 + 3*g**4 + 4 - 131*g**3 - 2 + 6 to n*g + x*g**4 + w*g**2 + h + q*g**3 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3882285 and 425799.\nAnswer: 65998845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-48 - -13) - 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 3, -124, -1 in ascending order.\nAnswer: -124, -1, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -1. What is the second smallest value in 2\/5, u, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6619 + -1402670328?\nAnswer: -1402670328.6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1487\/8 - -186. What is the closest to 0 in -0.3, -6, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 5*s + 2. Let i be x(-4). Let f = i - 401\/8. Find the common denominator of 6\/10*(-155)\/14 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434 (base 7) in base 11?\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 + 328. Let i = x - 163. Calculate the lowest common multiple of i and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 + 170*v**2 + 4000*v + 16000 = 0. Calculate v.\nAnswer: -40, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 3138?\nAnswer: 3138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-14739)\/(-1156))\/(2 - (3*-10)\/(-2))?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.56, 0.2, -1.53, -2, -506?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618133250 divided by -293650.\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*h + 92*h = 183*h + 126 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 1, x: 2, p: 8, i: 4}. What is prob of sequence iiil?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from myyyyyyeyyieyyiy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-12)\/30 - (3 + 1344\/(-35)) and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 9. Let w(d) be the second derivative of 0*d**3 + 0*d**2 + 0 + 1\/3*d**4 - 1\/20*d**5 + 2*d. Determine w(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5380 and 44331 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - p + 1)*(-2393*p + 2393*p + 850*p**2)*(4*p + 3*p - 6*p).\nAnswer: -850*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 12 = 0, -125*o - 4*m + 16 - 629 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14996791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and (5 + -13 + 7)*-17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + 5 + (-55 - -55)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 124*w - 18. Let h be v(14). Let y(l) = -6*l + 63. What is y(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/5 in -0.4, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6 + 7*i + 4 - 5 + 18*i. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.8 and -0.2.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12109*d**3*n + 10*d**3*s + 951*d*n + 5*n*s**2 - 97452*n*s wrt s.\nAnswer: 10*d**3 + 10*n*s - 97452*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1067927592 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = 56. Suppose 0*f - k = -4*f. Let a = 5 - f. Let n(s) = -s**3 + 2*s**2 + s + 2. Calculate n(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129\/(-27) + (-2)\/9 + 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1. Let n(z) = -2*z + 11. Let d(r) = -2*j(r) + n(r). Let i be d(6). Is 12 a factor of 79 + (i - -5)\/2 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -21. Suppose 3*m + v = 3*v + x, 3 = -m - 5*v. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4569 - 4569.036. Which is the closest to 0? (a) k (b) 0 (c) -0.3 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p = -29*p + 23*p + 936 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmmkqamgqma. What is prob of picking 1 k and 1 q?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -253833*p**3\/4 - 8249574*p**2 - 1072445205*p\/4 - 12675\/2.\nAnswer: -3*(p + 65)**2*(84611*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(20)*-3 - (2*sqrt(10)\/sqrt(2))**2*-5.\nAnswer: -6*sqrt(5) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 6.49?\nAnswer: 38.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10*x + 4 - 1)*(2 - 6 + 2)*(2*x - 1 + 1).\nAnswer: 40*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 356, 349, 340, 329, 316, 301?\n\"Answer: -j**2 - 4*j + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66368277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 1. Let f(r) = -2*r. What is -11*b(z) + 6*f(z)?\nAnswer: -z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*q**3 - 7*q + 2*q + q**3 - 3*q**3 + (0 + 0 + 14*q)*(4*q**2 - 4*q**2 - 2*q**2) to the form i*q + p*q**2 + z*q**3 + u and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t - 2\/3*t**3 - 1\/20*t**5 + 0 - 5\/12*t**4 + t**2. Is 2 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 5*g + 9*g + 2 - 5*g. Let d be t(-9). Let u = -8 + d. What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/33)\/(0 + (-10)\/(-3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3.5. Let v = j + -3. Suppose -4*c - 2700*x = -2696*x + 28, -3*x + 14 = -4*c. What is the nearest to 5 in c, -2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 338644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + -11 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 - -97. Suppose -5*n + 8 = -3*r + 2, r + 2 = i*n. Let o = -3 - -3. Which is greater: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -f2f4a8?\nAnswer: f2f4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a*i*m*o**2 - 3*a*i*m - a*m**2*o**2 + 5*a*m*o + 2*a*m + i*m**2 + 50*i*m*o**2 - 466*i*o**2 + 206168*m**2*o**2 wrt m?\nAnswer: -2*a*o**2 + 2*i + 412336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1705 divided by 2.\nAnswer: -1705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11263 and -0.01009.\nAnswer: -113.64367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1092.4 and -4.\nAnswer: -1096.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5254163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 - (-48)\/(-36)*6\/4. Solve 10*p - m = 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5 + 45*m**3 - 36 - 48*m - 1188*m**4 + 15*m**2 + 1209*m**4 + 0*m**5 = 0?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7401 + 7394. Let y(l) = -l. Let x(b) = -3*b. Let m(h) = 2*x(h) - 5*y(h). Let u = -6 - -8. Let c(k) = -3*k. Determine a*m(i) + u*c(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6453805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 2*c - 12 = 0. Suppose c*d - 40 = 4*k, -3 - 65 = -3*d + 4*k. What is the remainder when d is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - r - 3. What is j(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6.8, 2\/9, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493 + 10*z**3 - 1482 + z**2 - z**2 + 2*z + 3092.\nAnswer: 10*z**3 + 2*z + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 908 = 3167. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2809 divided by -2809?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 302 = -338 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 95*a**2 + 187*a + 93.\nAnswer: (a + 1)**2*(a + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (30 + 7 - 24)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f + 16 = 146. Suppose -3 = f*n - i, 4*n - 5*i = n - 15. Solve n = -4*x + 4*q, 2*x + 5*q = -x - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8 = -4*z, -k + 8 = -4*z - 0*z. Suppose k = -3*q - 2*q. Suppose s + 4*v - 89 = q, 94 = s - 0*v + 3*v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and 5120?\nAnswer: -158720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(275) - (sqrt(275) + 1)*-6) - (-5 + (sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275)*1 + sqrt(275))))) + 2))**2.\nAnswer: 3300*sqrt(11) + 133325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*i**3*u + i**3 - 51*i**2*u - 41*i*u + 187*u + 2 wrt i?\nAnswer: 78*i*u + 6*i - 102*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6561.3 rounded to zero decimal places?\nAnswer: -6561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 66*p + 2058. What is x(-29)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*n = -105 + 636, -r - 5*n = 190. Let l be ((-2)\/7)\/((-100)\/r). Which is the nearest to 0? (a) l (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 908*f**2. Let n(d) = 2*d. Calculate k(n(x)).\nAnswer: 3632*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(5*3\/(-105))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-21))\/((-4)\/36). Which is the closest to -1\/4? (a) 1 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e + 5?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14508 - -3351347\/231. Which is the nearest to -1\/2? (a) l (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(99)*-1 + -2*2*sqrt(99))*-1*6)**2 + -1.\nAnswer: 89099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -76, -500, -1494, -3292, -6128, -10236, -15850?\n\"Answer: -39*s**3 - 51*s**2 + 2*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 197 or -25.2?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/15 + 166*j\/5 + 528 = 0 for j.\nAnswer: -15, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (1 - (1 + -4 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*w**4 - 748441*w**3 + 32933*w**2 - 23*w - 4 wrt w.\nAnswer: 3264*w - 4490646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 - 16*c**2 - 2752*c + 16435. Calculate m(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:38 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37632717.\nAnswer: 3, 4181413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -383, -565, -743, -917, -1087?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -23. Calculate the remainder when 11 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 2*s**2 + 0*s**2 - 2 + 3*s. Let t be o(-3). What is the units digit of t + (-4)\/(-2) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*2\/56)\/(6\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m**19\/m*m))\/m)\/m)\/m)\/m**(-2\/5))**23 assuming m is positive.\nAnswer: m**(-2369\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*t + 19 - 11 + 264*t + 30*t.\nAnswer: 180*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 19) + -8 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 1. Let y be p(-2). Suppose y = 4*m - 3. Suppose m*q - 40 = -0*q. Solve 4*h + 0*h = q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 68652*o**2 - 291629184*o - 25286947840 = 0. What is o?\nAnswer: -85, 8624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*r - 3*q, -5*r - 4*q + q = -8. Solve -2*a - 16 = -4*h - h, 0 = -h + r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*((-15)\/6 + 2) - (-7 + 2). Let t(d) = d**3 - 3*d**2. Let x = 4 - 7. Let c(z) = 2*z**3 - 8*z**2 - 1. Give r*t(f) + x*c(f).\nAnswer: 2*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {m: 2, j: 1, z: 5, s: 3, e: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 124 - 452. Calculate the remainder when 110 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(76) - ((sqrt(76)*-4 - sqrt(76)) + 4)) + -4 - (sqrt(76) + (sqrt(76) + 1 - sqrt(76)) + 2 - -6*(sqrt(76)*-1 + sqrt(76)))) + -5)*-4)**2.\nAnswer: -5120*sqrt(19) + 34496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2698213 divided by -3.\nAnswer: -2698213\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 0.0629 (c) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4*q + 32 = 4*b, -5*b - 20 = 0. Find the second derivative of -q*y**2 - 3*y**2 - 89*y - y**2 + 90*y wrt y.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 198 - 162. Let s = -9 + 12. Which is the closest to t? (a) s (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 913 = 457. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 32*b**2 + 2*b + 65. Let v be z(-32). Put 387, v, -5, -2\/9 in ascending order.\nAnswer: -5, -2\/9, v, 387","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -21.21841, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43526, -86591, -129654, -172715, -215774?\nAnswer: -258831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = -83*k + 373 + 63 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 104721.7\nAnswer: 9424.953","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 2*p + 2. Let w be k(2). Let y = 2 + 2. What is the units digit of ((-2)\/(-3))\/(y\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 36*c + 530. What is u(49)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 5*9\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 688080 - -816919. Suppose -3*d = -o + 12904999. Round d to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4252707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188418 + 751.06576.\nAnswer: -187666.93424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-6))\/((-26)\/(-2774733)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1018 and 14.\nAnswer: 7126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -603, -95, -3, -8 in descending order.\nAnswer: -3, -8, -95, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 156 + (-22 + 22)\/(3 - 0). Let a = z + -151. Solve -5*n + a = 0, s = -0*s - 3*n + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*o**3*z**2 + o**3 - 6*o**2*z**2 + 30*o**2 - o*z**2 - 2*o*z - 3*o wrt z.\nAnswer: -72*o**3 - 12*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r, -r = -3*y + 4*r + 156. Let k = y + -27. Let a = 118 + -68. What is the highest common factor of k and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 132*i**3*x**3 - 127062*i**3*x - 80956*i**3 + i - 166 wrt x?\nAnswer: 396*i**3*x**2 - 127062*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -5 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12893, 24664, 36431, 48194, 59953, 71708?\nAnswer: 83459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**2*h)**38\/(((h**(-1\/4)\/h)\/h)\/(h*h*(h\/(h\/h**(-3)))\/h*h)) assuming h is positive.\nAnswer: h**(613\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 7 + 8. Suppose -w*a = -25, -y = -0*a + 2*a - 24. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:11 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -9*a + 143 - 62, -a = 5*c + 41. Solve 0 = -2*b + a, 15*i + 21 = 10*i - 2*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -314152 divided by 3\nAnswer: -314152\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = t + 25, -f = -4*t - 37 + 42 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -36*x**2 - 3. Let w(q) = -4488601 + 4488601 - 7*q**2. Calculate w(o(c)).\nAnswer: -9072*c**4 - 1512*c**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 59 = -2*v - 3*n, -171*n - 862 = -v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b2 (base 14) to base 2.\nAnswer: 1000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 1 - 21\/(-7). Put -2, 11, h in descending order.\nAnswer: 11, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54296 + -38583. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 100, 22.7, -9\/19?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i - 4 - 13*i + 4 to the form u + k*i and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 11*n**2 - 11*n - 8. Let u be s(-10). Let b = 4 + u. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.07, -24.2, -2.6, -3?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3 + 201656*b**2 - 403300*b + 201648 = 0?\nAnswer: 1, 50412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*x - 4 = -m, -5*m + 20 = -5*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whig when four letters picked without replacement from {g: 1, w: 1, i: 2, h: 4, n: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 0 + (-2 - -6). Let a be (o - 7)\/((-2)\/(-1)). Solve 2*i - 1 - 3 = a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-503 - 261*y + 503)*(21 - 3*y - 21) in the form o + x*y**2 + j*y and give x.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23529 or 5\/163?\nAnswer: 2\/23529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 127*o**2 - 1406*o + 86. Give i(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/4, 2\/7, -4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 5:40 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1499*c**5 + 3*c**2 + 418*c wrt c?\nAnswer: 89940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43020, -43025, -43032, -43041, -43052, -43065?\nAnswer: -43080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56180*n**2 + 325420*n + 471245.\nAnswer: 5*(106*n + 307)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssyyysyyyyyy. Give prob of sequence ysy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-30)*390\/(-117)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1309, -1314, -1321, -1330, -1341?\n\"Answer: -s**2 - 2*s - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*r + 148, 0 = -4*r + 7*r + 4*g - 146. Let s = r + -6. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1623649941 rounded to the nearest 1000000?\nAnswer: -1624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 102 = -m - 83, 4*m + 96 = u. Calculate the highest common factor of 69 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 10\/2)*2*-6. Solve -2*s + 8 = -4*l, -14*s + k*s - 1 = 5*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 36*i**2 - 35*i - 22. Determine r(-19).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 56, 125, 222?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {z: 14, f: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/4 + 159*z**3\/2.\nAnswer: -z**3*(z - 318)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.4, -73, -1, -0.05?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 8*y - 52*y + 33 in the form x*y + z and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 890007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -77*v**3 - 9*v**2 - 11*v - 2. Let p(z) = 154*z**3 + 20*z**2 + 23*z + 5. Let x(m) = -5*b(m) - 2*p(m). Find the third derivative of x(s) wrt s.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.07148752 and 586.\nAnswer: 583.92851248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -714 times -0.5?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/3 in -87.7, 14, 0.5, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1397)\/(-11715) + 1\/71.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-2)\/(2*-1))\/((-1121)\/(-2139989))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430960017.\nAnswer: 1061, 2291197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -200*u**3 + 2*u**2 + 15*u + 8. Does 9 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020.073 * -0.41\nAnswer: 418.22993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 3*u - x, 3*u = u + 5*x + 147. What is the remainder when u is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*-2*(-3)\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -791 divided by 2\nAnswer: -791\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-18)*(1 - 15). Suppose 3*j = x*j - 12. Let z(f) = -f**2 - 5*f + 4. Let d be z(-5). Solve 3*g + j*m = 1 - 4, d*m = -g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(21\/(-4)))\/(-3*14\/441).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3 - 15*g**2 + 8*g**2 + (-4 + 3 - 1)*(-g + g - 2*g**2) + (-2*g + g - g)*(0 + 0 - 2*g) + 16*g - 16*g + 5*g**2 to p*g**2 + d + i*g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -179623315.1 to the nearest one hundred thousand.\nAnswer: -179600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**3 + 4\/175*l**7 + 0*l + 1\/420*l**8 - 2\/25*l**5 + 2\/75*l**6 - 1\/6*l**4 - l**2 + 36. Solve m(a) = 0 for a.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - p. Let f = -3 - 1. Put f, p, 4 in decreasing order.\nAnswer: 4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 267.5 + -268. Let k be 1*((-2)\/4 - 8\/(-32)). Sort j, k, -4 in decreasing order.\nAnswer: k, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 - 96. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 12. Let r be g(8). Let u = -53 - -74. Suppose u = x - 4*d - 39, -r*d = -20. What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -10 + 8 + (-1 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/25)\/((-1)\/5). What is the third biggest value in 2\/19, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a factor of 134192785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.58 (b) 17 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 44\/4*-1. Suppose p - 4*m - 2 = 0, -3*m + y = -4*p + 2*m. What is the tens digit of 93\/(-6)*(2 + p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (77\/28)\/(2\/8). Suppose j*b = 3*b + 1040. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s + 7. Suppose 0 = -s*r - 0*r + 32. Calculate the lowest common multiple of -20*(3 + -8 + 4) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**6 + 2*n**5 - 1999*n**3 - 7*n**2 + 919*n - 1 wrt n.\nAnswer: -480*n**3 + 120*n**2 - 11994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3 = 4*u, 0 = -638*n + 642*n - 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - (sqrt(135)*3 - sqrt(135) - sqrt(135)))\/sqrt(3))**2 - sqrt(45)\/(sqrt(45)\/sqrt(5)*5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80)*-5)**2 - sqrt(80)) + 5 - (-1 + sqrt(80)*5).\nAnswer: -1994 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 13, -5, -4, 19 in increasing order.\nAnswer: -5, -4, 0, 5, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3058991 rounded to 3 decimal places?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 894 (base 10) to base 5\nAnswer: 12034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 29*u - 98120 = -25*u. Calculate the remainder when u is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 4. Let z(v) = v**3 - v**2 + v - 4. Let b be z(0). Calculate i(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -455 - 22*s - 5*s + 2*s**2 + 1504 - 447 - 456 to the form x*s**2 + u*s + z and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -466409, -466355, -466227, -465989, -465605, -465039, -464255?\n\"Answer: 6*u**3 + u**2 + 9*u - 466425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 7942 = -187514. What are the prime factors of q?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 89692*s + 448560.\nAnswer: -4*(s - 5)*(s + 22428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133 (base 6) to base 12.\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*v + 26 = 0, 0*x - 5*x + 2*v = -5. Solve 0*m + 2*d + 20 = -x*m, -12 = 3*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 19040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 1539078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 62*y - 5*y**2 - 119*y + 57*y. Let k(x) = 2 - 2 + 3*x**2. Determine k(j(f)).\nAnswer: 75*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-3)*(y\/((y**(-2\/9)*y)\/y*y))\/((y**(5\/4)*y)\/y) assuming y is positive.\nAnswer: y**(71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 298779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, p: 1, q: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 5*i**2 - 7*i - 2. Let h be s(-6). Let p be 1\/(24\/44) + 4\/24. Solve -5*g = -h*d - 5 - 1, -6 = -g + p*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-15)\/(270\/(-4)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14))\/((15\/(-1540))\/((-34)\/(-68)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(242)\/sqrt(11) + sqrt(22) + sqrt(264)\/(sqrt(84)\/sqrt(7)))\/(-1*(sqrt(99) + (sqrt(99) - sqrt(99)*-1*6))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*s = -2*o - 9, -5*s - 7 = -4*o. Suppose 15 = y + o*d, -5*y = -d - 4 - 7. Suppose -y*v + 14 + 7 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66123 is divided by 20943.\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) -5 (d) -0.03 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 16. Let i be (4\/l)\/(3\/(-18)). Differentiate -2 - m + 4 - 2*m**i + m with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-6))\/(5\/15). Let m(w) = w**3 - 5*w**2 - 2*w + 4. Let s be m(5). Let p = b - s. Which is smaller: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 163, 259 in descending order.\nAnswer: 259, 163, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g + 16*g - 38550. Let f = g + -334. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgg when three letters picked without replacement from {f: 2, v: 7, g: 9}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(1400))\/(((sqrt(168) - sqrt(168)*-1)\/sqrt(8))\/sqrt(3)))**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 36*f + 397. What is s(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/16 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6405157 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 10. Let z = -4 - f. What is the first derivative of 0*v + 1 - z + 3*v wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101699.5501 - -101973.5503005. Let i = 274 - g. Round i to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25663*u**2 - u - 3086.\nAnswer: 51326*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 33*p + 119. Let b be n(-4). Let r(v) = -v**3 - 16*v**2 - 41*v - 18. Calculate r(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-21)\/7)*(0 + 5). Suppose 0 = q*x - 157 + 152. Calculate the lowest common multiple of 23\/(-23) - -5*x and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -5, 2, 9, 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**6 - 189*i**5 + 393*i**3 - 3447977*i**2 wrt i.\nAnswer: 240*i**3 - 11340*i**2 + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -1 (c) 5 (d) 29 (e) -3.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**7\/210 + m**6\/360 + m**4\/12 + 7*m**3\/3 + 2. Let w(h) be the third derivative of g(h). List the prime factors of w(2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 641.3 and 16.9.\nAnswer: 10837.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -18242, -4, -10 in increasing order.\nAnswer: -18242, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16087, -128599, -433863, -1028215, -2007991?\n\"Answer: -16056*o**3 - 40*o**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dth when three letters picked without replacement from xdxddxxxxxddtddh?\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 121 = -15*q - 87*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -18. Suppose -o = o - p. Let y be 0\/(3*-1) + o. Solve -3*k + 3*c = 2*c - y, -k = -c - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -50*k**2 + 99*k**2 - 48*k**2. Let i(d) = -4*d. What is s(i(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -2*h, 5*h - 7*d - 47 = -10*d. Solve 4*o = 5*y - 48 + h, -4*o - y - 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - k + 407 = 428, p + 6 = -2*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h - 39 = -97*h + 45*h. Solve h*n - 58*n = 133 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10058, -20107, -30154, -40199, -50242, -60283, -70322?\n\"Answer: c**2 - 10052*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 2\/5 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 7*p**2 + 84*p - 567. Give n(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/7 - 205050*i**3\/7 - 152416188*i**2\/7 - 5369100552*i - 3085525903104\/7.\nAnswer: 3*(i - 69088)*(i + 246)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 37196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160553093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 3*h)*((5 + 0 - 4)*(-1 + 0 + 3) + 5 - 3 - 1).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/276 and 125\/11754.\nAnswer: 540684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88 + -7?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b - 5. Suppose -v - o - 7 = 0, 2 = 3*v - 2*o + 13. Suppose 4*c + 13 + 7 = -2*a, -2 = c. Let r(x) = 6*x + 4. Give a*r(z) + v*g(z).\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 3}. What is prob of picking 1 j and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1260\/9)\/14 - (-3 + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4590 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15595180*z**3 + 229967 wrt z.\nAnswer: 46785540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*c + 136. Solve -3*x = -5*q + q - 11, 2*q = -3*x + c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1039, -3, 20 in decreasing order.\nAnswer: 20, -3, -5, -1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u**2. Let o be (-296)\/259*70\/(-4). Let b(z) = -10*z**2 + 36*z**2 - o*z**2. Calculate x(b(p)).\nAnswer: -432*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.014, -2\/19, 1, 2, 37, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -13, -2\/9, 6, -3, -0.1 in descending order.\nAnswer: 6, -0.1, -2\/9, -3, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**3 - 3*i**3 - 4*i**3)*(2 - 5 + 4) + (4*i - i - 2*i)*(503*i - 18*i**2 - 503*i) to the form l*i**2 + p*i**3 + t*i + u and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -3)*2\/4. Let x(i) = -i**2 + 17*i - 39. Let l(u) = -u**3 - 33*u**2 + 35*u + 37. Let n be l(-34). Let s be x(n). Sort w, -5, s in descending order.\nAnswer: s, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-25))\/((-2)\/(-10)). Suppose 0 = -5*i + 10 + 10. Suppose 0 = 2*z + 5*l - 57, i*z + 3*l - 5*l = 54. What is the highest common factor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407396157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158 and 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 800 and 2714400.\nAnswer: 2714400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1, 30 in increasing order.\nAnswer: -5, 1, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109.08 + -142.08. What is the nearest to p in -5, 3, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20579118 and 3528?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgdg when four letters picked without replacement from {d: 2, g: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 155\/6, 6, 77, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1580990792 and 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + n. Let v be p(0). Let b = 11 + -7. Suppose -b*j + 14 + 6 = v. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 793, -6, -12 in ascending order.\nAnswer: -12, -6, 793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 179 or 0.02?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/3 + 22*q**3\/3 - 26*q**2 + 82*q\/3 - 28\/3.\nAnswer: 2*(q - 1)**3*(q + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247 + -5. Find the second derivative of -230*w - a*w**3 + 78 + 76*w - 78 wrt w.\nAnswer: -1452*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 4*x**2 + 2*x - 1. Let g be v(5). Let z be -5 + (-5 - 158\/g). Which is the third biggest value? (a) -5 (b) 0 (c) z (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504, -372, -152, 156, 552?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrbrcyrrbbcbycbrbb. What is prob of picking 1 y, 1 w, and 1 r?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 30. Calculate the lowest common multiple of 21 and o(-30).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125 - -121. Let d be (-3)\/6 - (r\/8 - 0). Solve -2*t + 5*w = -5*t - 3, d = -3*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 66, 61, 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32548 and 10219.\nAnswer: -22329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4940 <= -4941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62651483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*z + 85*z - 176*z - 16*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - -3) + 3 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let o(d) = -14*d - 3. Let l(u) = -30*u - 7. Let a(s) = -3*l(s) + 7*o(s). Determine a(b(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -167281?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/7 - 81*y**3\/7 + 222*y**2\/7 - 144*y\/7.\nAnswer: 3*y*(y - 24)*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1861*c**2 - 6*c - 740. Let i(d) = 5584*d**2 - 16*d - 2219. Let b(r) = -8*g(r) + 3*i(r). What is the first derivative of b(f) wrt f?\nAnswer: 3728*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9)*9*(-2)\/(-3). Let b be 2 + -1*(-2 + 2). Suppose b*j - 675 = -d*x + x, -j = 1. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/1224)\/((-2)\/108).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -8. Suppose -k = -5*k - i. Suppose 1775*n - 1785*n + 50 = 0. Put 0, k, n in descending order.\nAnswer: n, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 0.1, -559, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1 - -1)*12. Suppose 0 = -2*n + 5*n - x. Suppose 0 = -n*v - 4*b + 80, 1 - 71 = -3*v - 5*b. Solve -v = 5*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*v - 24 = 0. Factor 5*d**3 - v*d**3 + 2*d**2 - 4*d**3 + d.\nAnswer: -d*(d - 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7009*p + 3507*p - 31 = -3506*p - 3*j, -2*p - 3*j = -17 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 - 1 + g**4 - g**3 + 0*g**3 + g**2 - g**3 as d*g**3 + i*g + u*g**2 + j*g**4 + k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 12. Let o be t(-5). Let j = -1.0198 - -0.0198. Let u be (2\/(-22))\/(5 - (-33)\/(-6)). Which is the closest to u? (a) o (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/5 (b) -2 (c) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 3104.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 4. Let v(j) = -1. Let y(n) = o(n) - 5*v(n). What is the units digit of y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -910.21075 and 1957478.\nAnswer: 1956567.78925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivs. What is prob of picking 1 i and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/5 (b) 0.42 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20*16\/(-8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 153 + 26 + -77?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2952*5.\nAnswer: -14760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.05 (b) 573 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-12))\/(2\/8). Let q = p + 11. Let m be 12\/15*3\/(-6)*(-25)\/2. Solve -o + q*w - w = 13, 0 = -2*o - m*w + 18 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)*1)\/(sqrt(192) + sqrt(192)*1).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163213*m**5 - 4133*m + 5 wrt m?\nAnswer: -3264260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2953575155 and 1.\nAnswer: 2953575156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {h: 1, o: 1, l: 1, a: 1, b: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100013 + 10?\nAnswer: -100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199 and 24.01.\nAnswer: -4777.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = -3*y, -2*y - h = 2*y + 9. Let q = -14 + 18. Sort -2, y, q.\nAnswer: y, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 15765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**3 + 16230857*r**2 + 13420554*r?\nAnswer: 24*r + 32461714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/3)\/(((-816)\/(-32))\/(-51))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - g + 723 = 4*y, 4*y - 2*g = 570. Let x = -63 + 67. Let a be (-20)\/(-1) + x + -2 + -4. Calculate the highest common factor of y and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*z - 53203 = 0, 403*i - 4*z = 404*i - 53211. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l - 30*l**3 - 12*l**3 - 58*l + 32*l to the form w*l**2 + h + x*l**3 + y*l and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -24*b + 5. Determine v(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**4*x**2 + 24*g**4*x - 7*g**3*x + 2*g**2 + 431*x**2 wrt g.\nAnswer: 144*g*x**2 + 576*g*x - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1157436 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -644 (base 8) to base 4\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -10333101?\nAnswer: -10333032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20301 or 20333?\nAnswer: 20301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/330 + 49*g**4\/66 - 3*g**3 + g**2 + 167. Factor k(t).\nAnswer: 2*(t - 1)*(t + 99)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -0.2 (c) -15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 52. Let t(d) = 4*d + 3. Calculate t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/98323773 and -133\/2010.\nAnswer: 983237730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364385 divided by -20.\nAnswer: 72877\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/20 + z**4\/8 + z**3\/6 - 3*z**2. Let w be i(-3). Suppose 2*n - 87 = w. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1*v)\/v)\/v*v*v)**(-11)*v**(2\/5)\/(v*v**(4\/9)*v) assuming v is positive.\nAnswer: v**(-1082\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 8:01 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 20 = 88. Let g be (-68)\/p - 4\/(-18). What is the second smallest value in 5, 5\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 9. What is the remainder when r is divided by (-7)\/(21\/(-12)) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4557120*a + 49 = -4557125*a + 3*t, 2*a + 4*t + 30 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)\/(f*f**(1\/4)) assuming f is positive.\nAnswer: f**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 10. Calculate the remainder when 10\/(-3)*(1854\/(-90) + 17) is divided by h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 164.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 646 + -647. Which is the nearest to r? (a) 1 (b) 2\/7 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2059, -2, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*m + 12, 23 - 3 = -5*m. Suppose 0 = 4*w - t + 23388 - 23496, 0 = -3*w + t + 78. Solve 3*b + 5*n + w = q, 0*b = 3*b - 5*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2 - 6 - 3 + 19 - 4*s. Let y(w) = 2*w**2. What is y(u(j))?\nAnswer: 32*j**2 - 192*j + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/58776 and -109\/82476?\nAnswer: 5113512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 5.\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/(-6))*68\/(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5\/78, 7, -13, 1\/38, 5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28783 (base 9) to base 4\nAnswer: 10302030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5059 is divided by 810?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1215589, 1215618, 1215669, 1215748, 1215861, 1216014, 1216213, 1216464?\nAnswer: 1216773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and -119\/2470.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136311\/418 + 3566\/11. Let r = 10095 + -222153\/22. What is the common denominator of g and r?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - (-1587)\/(-9). Let d = k - -272. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27044 = 3*y, 0 = y - 5*h - 6558 - 2490. Round y to the nearest 100.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 423893\/2704 or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 95646*h - 191333*h + 95671*h.\nAnswer: -h**3 - 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.089 + 3.911. Sort 4\/3, w, 0 in increasing order.\nAnswer: 0, 4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-20) - (-3)\/(15 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) 1 (d) -0.3 (e) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.5 + -11.5. Which is the nearest to 3? (a) 0.2 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*m + 17205896 - 8602951 - 8602945.\nAnswer: 244*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6 and 125\/14402304.\nAnswer: 14402304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63675679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 - 48*c**2 + 8*c + 104. Give f(-16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)\/f)\/f)\/f**(-2\/13))\/(f*f**(1\/4)*((f*f**(-4)*f*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-57\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172789 and 1179?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 589093099 and 27699.\nAnswer: 9233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 10:42 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v**2 + 50*v**2 - 38*v**2 + 198*v**2 - 23*v**2 - 63*v**2.\nAnswer: 73*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14478 is divided by 2891.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**2. Let v(d) = 104 + 92 - 184 + d. What is v(h(f))?\nAnswer: -6*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 3 in increasing order.\nAnswer: -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9961 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546ac5 (base 14) in base 3?\nAnswer: 12101101002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = j. Let g(d) = d**3 + 3*d + 7*d**2 - 3*d**2 + d**2. What is the units digit of g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1308*x**3 + 1045*x**3 - 2178*x**3 + 5 - 2 to the form q*x + j + y*x**3 + k*x**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7359 - 86*p + 7359 - 236*p.\nAnswer: -322*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -23543, 6, -100, 2 in ascending order.\nAnswer: -23543, -100, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*u - 11 + 5, 2*m = -u + 2. Let i(f) = -2*f**3 - f**2 - 2*f - 94. Let o be i(m). Let s = o + 99. Put 3, s, -3 in ascending order.\nAnswer: -3, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*n = 52, 4 = -2*r - n + 5*n. Suppose -4 = -4*a + r. Factor 21\/5*h**a - 21\/5*h + 6\/5 - 6\/5*h**2.\nAnswer: 3*(h - 1)*(h + 1)*(7*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -17. Calculate the highest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -572362, -572363, -572364?\n\"Answer: -f - 572361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13094.\nAnswer: 2, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15273 is divided by 5091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 8*o + 6. Calculate r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 1 = -5*n + j, 3 = -3*n - 3*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2)*b**8*(b*b*b*b\/(b*b**6\/b))\/((b\/(b**(-2\/3)\/b))\/b)*(((b\/b**1)\/b)\/b**(1\/8))\/((b**5\/b)\/b**(-8)) assuming b is positive.\nAnswer: b**(-235\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21499.\nAnswer: 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 8:06 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/30 + (-144760)\/(-1050). Let i = f + 269. What is the greatest common divisor of i and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**2 + 1387*v - 14865. Calculate c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64685.9 minutes in microseconds?\nAnswer: 3881154000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 3}. What is prob of picking 2 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -75. Sort 1, a, 0, 5.\nAnswer: a, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -404\/609 or -1?\nAnswer: -404\/609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 312*c**3 - 12*c**2 + 45 + 13*c + 312*c**3 - 628*c**3. Let i be l(-4). Solve -i + 12 = 9*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/5678 and -101\/4.\nAnswer: 11356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 26. Suppose -f - 3*f = -q. Suppose -f*y = -13 - 5. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/8)\/(2\/4). Is 2\/w + (-172)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304035 by 60807.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**5\/2 - 2949*b**4 - 1464114*b**3 - 14441196*b**2 - 46005120*b - 45911232 = 0.\nAnswer: -978, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 256979688288949.\nAnswer: 256979688288949.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 111\/6934 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 26. Suppose t*c + 2*c = 504. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 3547*o**6\/30 + 157*o**5\/60 + 13*o**4\/24 + 5*o**2 - 1037*o. Find the third derivative of h(i) wrt i.\nAnswer: 85128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9)*(-41)\/(-123)*-141.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from {u: 1, y: 1, c: 9, g: 7, a: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 10*s**2 - s. Let w be k(-4). Let d = -900\/31 + 11821\/310. Find the common denominator of w\/(-6) + (-2)\/4 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 332 = 5*d. Suppose -9*q - d = -13*q. What are the prime factors of q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/(-12) - -5)\/(-8*(-3)\/1440). Solve 0 = u + 33 - c for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1156, 2\/11, -3\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*sqrt(70))\/sqrt(10)*-1.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 14*k**2 + 15*k - 6. What is y(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 58*p - 85 = z + 45*p, -20 = -4*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x = 256. Let a be (0 + (-2 - 3))\/1. Let i(g) = -g**3 - 4*g**2 + 3*g + 6. Let w be i(a). Calculate the greatest common factor of w and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 856, 590, -126, -1514, -3796, -7194?\nAnswer: -11930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 570\/(-120) + 6\/8. Let q = 0.047 - -0.012. Do f and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38560 - 113396 + 51642)*(3*g + 3 - 5*g - 2).\nAnswer: 46388*g - 23194","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226.131 + 226. Let z = -216801.869059 + 216802. Let f = z + j. Round f to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 22 - 9)*(0*i**4 - 4*i**4 + 5*i**4)*(0*i + 3*i - i).\nAnswer: 56*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 137, 119, 83, 23?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.771 - 0.029. Let d = l + 5. What is the nearest to d in 0.3, 1, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from eappapptpeep?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -0.2 (c) 0.3 (d) 5 (e) -10 (f) 0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-210)\/4)*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 4 + 0 + 3 + 3*z + 0*z**2. Let d(g) = -g**2 - g. Suppose 0 = 162*y + 39 + 123. What is y*b(i) - 4*d(i)?\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 303\/(-707)*(15\/(-15))\/(3\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6667193 is divided by 1005.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -164 - -3852.4\nAnswer: 3688.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + l + 3*l)*(-496941 + 496942 - 44*l**2 + 6*l**2) as r*l + f + q*l**3 + b*l**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/162 - 3761\/81. Let a = 653\/14 + q. Is 0 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*h**2 - 144*h**2 - 163*h**2 to the form b*h**2 + v*h + i and give b.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3310271\/192 - -17241. What is the third biggest value in 0, -3, t, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 - 3*s**2 - 3*s. Let b be v(-2). Let h = b + -29. Let n = h - -64. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226011, -226009, -226005, -225999, -225991?\nAnswer: -225981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 30) + (-2 + 2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54039832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -928, -1848, -2764, -3676, -4584, -5488?\n\"Answer: 2*a**2 - 926*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - i + 3*i)*(-2032 - 3915 - 834 - 664) to the form u + j*i and give j.\nAnswer: -44670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23309?\nAnswer: 11, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.2. Let s be -3 + (-6 - (-188)\/20). Which is the nearest to -2\/7? (a) -1 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4*r*y + 99*d**2*r*y - 6*d*r*y + d*r - 2*r - 1 wrt d.\nAnswer: -24*d**2*r*y + 198*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/34)*z**24)**(-6\/7) assuming z is positive.\nAnswer: z**(-2445\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -63056472, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 11 + 16*p + 22 in the form w*p + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.41 - 1.71. What is the nearest to p in -2\/3, 2\/7, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = -60*j + 59*j. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -3935 (c) -0.043 (d) 4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52731 - -6114?\nAnswer: -45616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 18. Let n = u - -6.936. Round n to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -100. Let z be (0\/2)\/1 + 2. Find the third derivative of -c*u**z + 7*u**2 - 4*u**2 + 3*u**4 + 2*u**2 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 24004280?\nAnswer: 168029960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 416594846 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(0 - 1) - -2. Let r be -4 + 2 + (3 - -1). Differentiate -3 + 5*g**2 - r*g**p - 2*g + 2*g wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 45*c**2 + 7 + 45*c**2 + 20*c - 27*c**2 - 4. Let v be b(-3). Suppose -o - d = -2*d - 126, -2*d - v = -4*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 7*m - 6. Let y be h(9). Suppose -2*r = -6*r + y. Calculate the remainder when r is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9630 by -15.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863 = -57*c - 2243 - 1596 + 12 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*i + 64*i - 21*i)*(2 + 19 + 3).\nAnswer: 408*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 4*t**2 + 2 + 0. Let g(h) be the first derivative of -h**3\/3 + 1. Suppose 7*c - 9*c + f + 6 = 0, -19 = -5*c + 3*f. What is c*i(s) - 6*g(s)?\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2294334773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v + 5 = 0. Let q be (1\/(-6)*-2)\/((48980\/(-120))\/79). Is v at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/77*(12\/80)\/((-9)\/(-24))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-11) - 62339435\/(-1969) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -362.93 + 360. Let v = 3.13 + o. Sort v, 43\/5, -5 in increasing order.\nAnswer: -5, v, 43\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 - -143. Which is the nearest to -0.2? (a) 1 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1848 + 1848 + 2307*j**3 - 2290*j**3.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 28*w - 30 = 0. What is the second derivative of 3*i - 33 - 92*i**w + 47 - 4*i wrt i?\nAnswer: -552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -58. What is the units digit of 141\/b + 6\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (106 + 99 + -102)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - 2*d)*(5*d - 11 + 11)*(6*d - 4*d - 4*d)*(5*d - 5*d + d + d**2 + (0 + 0 + 2*d)*(0 + 2*d + 0) + 5*d - 5*d + 2*d**2).\nAnswer: 210*d**5 + 30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -137425, -274859, -412293?\n\"Answer: -137434*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4644.5618 to 0 decimal places.\nAnswer: -4645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.0296 (c) 6969\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104433 + 234?\nAnswer: 110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0)*3\/18. Let x(b) = b - 9. Let l be x(6). Let n = -0.1 - 0. Sort n, l, y.\nAnswer: l, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 7*q**2 - 4*q - 1. Let i be c(6). Let j(b) = -7*b - 10*b + 3*b - i - b**2. Is j(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + -2. Let r = x + 5. Which is the closest to r? (a) -1\/3 (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -5)*18\/8. Suppose 5*x - 15 = 4*m - t*m, 0 = 4*x + 5*m - 10. Which is the third smallest value? (a) -0.5 (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjccjjjjcjjjjj. Give prob of picking 3 c.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93896.83 milligrams to tonnes.\nAnswer: 0.00009389683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4223 + -4223.4. What is the nearest to k in 2, 16, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -12. Let o = a + 6. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 + 9*j + 11. Let b(v) = -13*v**2 + 20*v + 22. Let z(d) = 2*b(d) - 5*p(d). What is the units digit of z(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -188571 (base 9) to base 7.\nAnswer: -1000360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151319?\nAnswer: 7, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/14*10 + 591.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8070 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4) + (0 - (5 + 23)) + -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -20*q**2. Let t(z) = 494*z. Give r(t(b)).\nAnswer: -4880720*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22521 - 22486. What is the greatest common divisor of a and 13895?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -143. Suppose -66*j = -i*j + 16332. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (6\/(-2) + 19). Let z be -1*t\/(-1)*-6. Suppose 0 = -c - 3*c + z. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -571, -977, -1385, -1795?\nAnswer: -2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 2073, -363 in descending order.\nAnswer: 2073, 2, 0, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 14737167?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142342 - -12?\nAnswer: 142404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let o(z) = z. Let u be o(d). Suppose u*w + 3*i = 6, -5*w = -4*i + 3*i - 17. Is w != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684264703 to the power of 1\/3, to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 7) to base 6\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -17. Solve -16 = -5*r + k, -3*r + p*k = -0*k + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 180*v**3 - 7*v**2 + 6*v**2.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -264993.257 to the nearest one hundred.\nAnswer: -265000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/9 - 376*n**3\/9 + 256*n**2 - 4640*n\/9 + 3104\/9 = 0.\nAnswer: -194, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -108 + 38. Calculate the remainder when (120\/q)\/(8\/(-28)) is divided by (-92)\/(-10) + ((-1196)\/65)\/(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 349?\nAnswer: 30363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -401, -1 in descending order.\nAnswer: 0, -1, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 52*i - 16*i - 2*i - 9*i.\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6*w = 102, 426*w = 429*w - 0 - 51 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52539 + -1?\nAnswer: 52538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11520 and 16000.\nAnswer: 288000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.788 - -2. Let m = -53.812 + r. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 31 - 31 - -34 - -49 - 16?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -46\/2066539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 - 161. Let h(c) = 10*c - 3. Let i(s) = 7*s - 2. Let x(l) = d*h(l) + 7*i(l). What is the first derivative of x(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -4*j**3\/3 + 2*j**2 - 4*j + 41. Determine x(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 36*q + 317. Let g be o(-15). Sort 40, 1, g, 4 in decreasing order.\nAnswer: 40, 4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-four fifths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32891 divided by -6?\nAnswer: 32891\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)\/h**6 assuming h is positive.\nAnswer: h**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 395, 1188, 2747, 5348, 9267, 14780?\nAnswer: 22163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36533, 73525, 110517, 147509, 184501?\nAnswer: 221493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - p + 116 - 495 = 0, -4*r + 361 = 5*p. Is r < 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49734\/1377 + 32\/306 + (976\/144 - 7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464*q + 5776 = 1075*q - 3261*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -562, -675, -870, -1153, -1530?\n\"Answer: -i**3 - 35*i**2 - i - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**23\/w)\/(w*w**32) assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -23. Let d be ((-23)\/(-4) - 5)*i\/(-2). Solve -9*m = -d*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 + 3 = 0. Let a be (-1)\/((-14)\/4 + x). Factor p**2 + 4*p**2 + 3*p**a - 2*p**5 - 4*p**3 + 10*p**4 - 12*p**3.\nAnswer: -2*p**2*(p - 2)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 22*m + 26. Suppose 0 = -16*v + 22*v - 126. Let d be i(v). Let g = 21\/167 - -7493\/1503. Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*n**3 + 500*n**2 - 386*n**2 + 486*n**2 + 719*n**2 + 8*n**3 + 882*n wrt n.\nAnswer: -6*n + 2638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*r - 3*r. List the prime factors of 12*(0 + 0 + r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 8*s**2 + 7*s + 2. Let r be d(7). Suppose 0 = 3*k + 3*n - 0 - 3, -5*k - r*n = -8. Suppose 5*i - 17 = -k. Solve f + 20 = -i*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {w: 3, o: 3, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9479344 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-5)*(-80)\/(-12). Calculate the highest common factor of z and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0175, 0, -2, -5, 2, -4, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, l: 2, j: 6, e: 5, h: 2, y: 2}. What is prob of sequence lel?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 5311581127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 783, 1176, 1571?\nAnswer: 1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 24 = 2*o, 0 = -3*z - 59974*o + 59981*o + 28 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = 3*f, -4*l = -2*l. Let h be (-177500)\/2*(240 + 2 + f). Round h to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-4)*(-2 - 0). Suppose -d + j = 5. Let m = -4 + d. Let y(v) = -v**2 + 2*v + 1. What is y(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30798 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47517, 90397, 133277, 176157, 219037, 261917?\nAnswer: 304797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 51. Suppose -l*m = m. Let v(a) = a + 1. Let d be v(5). Solve 5*w - g + 20 - d = m, -2*w + 4*g - 2 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j**3 - 5*j**2 + 11*j - 3. Let t(y) = 44*y**3 + 24*y**2 - 52*y + 16. Determine 24*b(n) + 5*t(n).\nAnswer: 4*n**3 + 4*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**8\/33600 - t**7\/2800 + t**6\/600 - 2*t**5\/15 - 11*t**2. Let f(p) be the third derivative of l(p). Factor f(b).\nAnswer: 3*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + b + 32 + 66.\nAnswer: b + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11551342 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -783096, -783097, -783098, -783099, -783100?\n\"Answer: -q - 783095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202 - 197. What is the third biggest value in 0.5, -13, h?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-6))\/(12\/18). Let l = 0.5 + -1.5. Let f = -13.5 - -13.7. What is the nearest to l in 1\/3, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvvvvaaaaavvaaaav. Give prob of picking 3 v and 1 a.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54019301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44\/123 - 9577\/984. Calculate the common denominator of -95\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 - 2 = -24*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y**2 + 13*y - 3. Let z(h) = -h**2 + 2*h - 1. Give s(r) - 6*z(r).\nAnswer: -r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10791 + 4*b - 10764 + 21555.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, j: 6}. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 17*f**2 + 4374 - 4374. Let z(y) = 7*y. Give m(z(h)).\nAnswer: 833*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 2*i + (-4*i + 0*i + 2*i)*(0 + 2 - 1))*(3 + 2 - 6)*(-4 + 0 + 2).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 44*b - 157124. Suppose -4*i - 4*g + b = -g, 0 = 5*i + 5*g - 4470. What are the prime factors of i?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x*x)**(5\/9)*(x\/(x\/(x\/(x*x**(1\/4)))))**(-15\/2) assuming x is positive.\nAnswer: x**(55\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = 3*g - 5*y - 181, 4 = 3*g + y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - -2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1028, 21, -10 in ascending order.\nAnswer: -10, 21, 1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 94 = 42. What is the second smallest value in n, 0.3, -1\/3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 381\/3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-28 - -87) - (15 - -3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*u**5 + u + 200 wrt u.\nAnswer: -700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 27. Let p be b(5). Solve -p*s + 6 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1676 + -18470\/11. What is the common denominator of w and (82\/(-8))\/((-3)\/(-6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -18549*y - 3431556. Calculate w(-185).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14107071191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 2*n - 8 + 4 + 3. Suppose -r - 2 = 0, p + 3 = -4*p - 4*r. Let a be g(p). Solve -4*c - 5*y - 2 = 0, 2*y = a*c - 2*y - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - o**2 + o**2)*(-10*o - 21*o + 13*o).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + l = 10, -l - 23 = 5*p - 3. Sort p, 6, 4 in decreasing order.\nAnswer: 6, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 9*n + 5. What is z(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**4 - 573232*k**3 + 30942864*k**2 = 0.\nAnswer: 0, 54, 143254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1095 = 4*r - 109. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 62. Suppose n + s*n = 51. Calculate the remainder when 117 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/5)\/(11\/33))\/((-48)\/128)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 - 120*a**3 + 1210*a**2 - 2820*a + 1728 = 0.\nAnswer: 1, 2, 9, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(144)\/sqrt(3))\/sqrt(8))*2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 1. Let g be -2 + (4 - 2)*j. Calculate the greatest common factor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 124 + 118. Suppose 17 = 2*c + 3*c - 3*k, c - 5*k = -1. Solve 2*j = -c*m + x, -j - 2 = m - 2*j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -2 (b) 134 (c) -0.04 (d) 0.2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 16*b**2 - 146*b + 307. Calculate w(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -1\/18 (c) 2\/985 (d) 135 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 79761?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20222140 (base 5) to base 16\nAnswer: -280cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1354.\nAnswer: 1\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968 by -10.\nAnswer: 484\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 72 = 4*h. Suppose 0 = -5*y + h*y - 6. Solve k - 3*l = -4*l + y, -3*k - 5*l + 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 30046, -2\/11, -2, -1\/5, 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 5*b - 10. Let i(m) = -4*m**2 - 9*m + 21. Let z(o) = 2*i(o) + 5*s(o). Does 6 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 66\/(-24))*(-9 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -196*o**3 + 54*o + 1. Let k(r) = 65*r**3 - 17*r. Give 19*k(x) + 6*v(x).\nAnswer: 59*x**3 + x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7 - 23*d - 71*d + 8*d + 9. List the prime factors of y(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**2 - 19*n**2 + 10*n**2 in the form p*n + o + g*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2. Let z(i) = 24*i - 9. Give z(y(v)).\nAnswer: 48*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703723363.\nAnswer: 7, 100531909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5342 + 5?\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 - (-110)\/(-210)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 12*v + 3. Let q be i(-12). Let y be q\/1 + (-18)\/(-9). Solve 0 = -0*k - y*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:31 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = p - 2*p. Let k = -8.01 + 0.01. Let q = 5 + k. Which is the second biggest value? (a) p (b) -1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2*p + 24, -5*t + 240*p - 244*p - 53 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 15*i - 8. Let n be m(11). Let d = 105 + n. What is the remainder when d is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59 * -256.\nAnswer: -15104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976 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: Let o(q) be the first derivative of 0*q**5 + 2\/3*q**3 + 0*q**2 - 1\/3*q**6 + 0*q + 0*q**4 - 3. Find the third derivative of o(w) wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 720*y + 2821. What is n(-6)?\nAnswer: -1499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -469*s - 62. Suppose 0 = 20*d - 18*d + 74. Is c(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 102, 136, 150, 138, 94?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/12 less than or equal to 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-9)*-3)\/(3 + 6\/(-12)). Let p = 36 + -22. Suppose 3*d - 2 = 3*g - p, 12 = -5*g - 3*d. Solve s*u + g = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 less than 1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 145 (b) 0.01 (c) -2 (d) -1\/4 (e) -5 (f) 0.05 (g) 4\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 413234314 to the power of 1\/3, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1 - 3*h + h**2 + 6*h - 2*h**2. Suppose 0 - 20 = -5*l. Calculate i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpphpphpsppphpphppsp. Give prob of sequence phh.\nAnswer: 13\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 461b18 - b?\nAnswer: 461b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 42154.\nAnswer: 252924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (0 + 3)) + 3. Let i = -0.1 - -5.1. Which is the second smallest value? (a) 0.3 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -246820, -246839, -246858, -246877, -246896?\n\"Answer: -19*r - 246801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f. Solve -3*v + 19 = 5*r, f = 3*v - 0*r - 3*r - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 3*t - 2*t + 6*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 12:36 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-2 - -225) - (0 - 1). Suppose 0 = 4*k - 7*k + u. What is k rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -2\/21 (c) 2\/13 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 10 - 14. Let h(q) be the third derivative of 0*q - 1\/24*q**4 + 0 - t*q**2 - 1\/3*q**3. Differentiate h(z) wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22243752 (base 8) in base 4?\nAnswer: -102110133222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 125568, 252496, 379424, 506352?\n\"Answer: 126928*s - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 2*b**2 + 0 - 1\/12*b**4 - 1\/6*b**3 + 0*b. Let p(f) = 3*f + 1. Suppose 14 + 1 = 5*v. What is v*p(h) + 5*u(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2047780 by 2047780.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -930*n + 869*n - 249 - 117 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12983959 and -1.6.\nAnswer: 20774334.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1 (c) 0.113 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6763 is divided by 213?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98964 and 12785599.\nAnswer: 460281564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-7))\/((-6)\/35259*-5). Which is bigger: 167 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 219658244?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0051 * 1.061.\nAnswer: 0.0054111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2)\/6 - -8171. Suppose -2172 + p = -2*x. Round x to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2433 is divided by 88?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8821 + -396?\nAnswer: 8425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 44*g**3 - 2*g**2 + 2*g - 1. List the prime factors of w(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 77 - (7 - (39 + (-37 - 14))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39\/2 + -19. Let r(f) be the first derivative of j*f**2 + 0*f + 1. Let m(h) = 3*h**2. Determine r(m(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 3*n + 2*n)*(n**3 - n**3 - 6*n**3)*(n - 3*n + n + 2*n - 1 + 1 + (4*n + 0*n - 2*n)*(-1 + 1 + 1)).\nAnswer: -234*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-21))\/((-6)\/9).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 5 (c) 1\/2 (d) -215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39237*p**2 + 78473*p**2 - 39240*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 2*r**3 - 3*r**3 + 3*r**3 - r + r**3. Let q be c(0). Suppose 1 = -z - q. Let b(j) = -3*j + 1. Determine b(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -122*z**2 + 2. Let m(i) = 60*i**2 - 3. Determine -5*m(s) - 3*q(s).\nAnswer: 66*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*r = -10, 3*r = 4*t - 11 - 4. Is (t + 19354)*((-63)\/(-6) - 10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-232) - (-157532)\/58. Calculate the greatest common factor of 28 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 3.4 (b) -10 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25458133, 25458134, 25458135, 25458136?\nAnswer: 25458137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3131293 by -53.\nAnswer: 59081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004101 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:13 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 - 4*r**2 - 4*r - 5*r**3 + 0*r**3 + 7*r to the form q + f*r**3 + w*r**2 + o*r and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 2*c, -2*y + 6*c - 8*c - 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15632 - 140690\/9. What is the closest to 0.3 in -0.03, r, -1\/5, -0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 50*j**2.\nAnswer: -j**2*(j + 150)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/519383 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94700 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*x - 3. Suppose x*d = -0*d + 15. Suppose -h + d*o - o = -119, -h - 2*o = -131. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5834*d - 6281*d + 11822*d - 3*d**2.\nAnswer: -3*d**2 - 293*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -604 + 605.4. Let o be (-16)\/(-30) - (-4)\/6. Does o = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (sqrt(2057) - (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + 1))*-3)) + 1)*-5 + -3)**2 + -2.\nAnswer: 1540*sqrt(17) + 205747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/325 - 199\/325. Which is the closest to o? (a) -5 (b) -1\/4 (c) -0.5 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away 2.86?\nAnswer: -4.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 4.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364450 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 42 + 46*s)*(-6*s**2 + 1 - 1) - 4*s**2 + s**3 + 4*s**2.\nAnswer: -275*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kksekkkkkknkkkskken. Give prob of sequence kkk.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6656*f*h - 2138*h wrt f.\nAnswer: -6656*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/68*(-4)\/2.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1932651, 1932619, 1932545, 1932411, 1932199, 1931891, 1931469, 1930915?\nAnswer: 1930211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 20806*x**2 + 209 - 65.\nAnswer: -20806*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -46*w**2. Let p(s) = -s**2 - 207*s. Give p(i(m)).\nAnswer: -2116*m**4 + 9522*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 305238?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 245, -5, 45 in ascending order.\nAnswer: -5, -4, 6, 45, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-612)\/(-60))\/(4\/20) is divided by ((-7)\/(-4))\/(1\/24*3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 12 = 2*z. Let x(p) = 3*p**2 - 1. Let u be x(1). Suppose n + w = -2*w + 16, 2*n + 3*w - 20 = 0. Solve u + z = n*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3, 0.4, -71, 6, 273?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1529.92 or 0.07?\nAnswer: -1529.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 + 157. Solve k*y = -4*v - 8, 14 = 4*y - 2*v - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14109540 and 12?\nAnswer: 14109540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -10. Which is the third biggest value? (a) i (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40629 - -5690624.\nAnswer: 5649995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21100149*i**2*j + 103062*i**2 - 19*i wrt j?\nAnswer: -21100149*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2*(-2 - -1). Let z be 5*((-4)\/10 + 0). Let p be z - (2 - 38\/9). Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 4 = 0. Suppose -3*i = -q*k - 13, i + 5*k = -7 - 17. Solve f - 3*t + 5 = 0, -5*t + i = -4*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -41. Let u = -0.2 - -0.6. Let k = u - 0.7. Sort q, k, -1 in decreasing order.\nAnswer: k, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -43. What is the remainder when 39 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/60 - 7*b**2. Let x(q) = 15*q. Give x(o(g)).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1) + (34 - -7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10110100101110111000011?\nAnswer: 10110100101110111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136922527?\nAnswer: 13, 47, 1860757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -y - 10, -5 = -q + y - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*y - 14 = 0, 0 = -2*y - 141 + 155. What is the closest to 0 in p, -6, 0.02, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1294, -5, 620, -4 in decreasing order.\nAnswer: 620, -4, -5, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*k + 291*k = -1040 - 103 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 8*v - 16 = p - 7*v, 26 = p + 4*v + 12 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*b + 7582, 0*b = -2*r + 2*b + 3786. Let h = 1405 + r. Suppose j - h = -2*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a - 201 = -3*x, -4*x - 82 = -a. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -96, -193, -380, -687?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -656 or -662?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - 0.14. Which is the smallest value? (a) -0.2 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 385*t + 5. Let b(z) = -1734*z - 20. Let o(p) = -2*b(p) - 9*u(p). Suppose -2 = -q - 2*a, 3*q - a + 16 = 4*a. Give o(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27259 - 136297\/5. What is the closest to 14 in u, -77, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.08 - -0.08. Which is the biggest value? (a) -0.2 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 50*d + 317. Calculate s(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -47*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -304833*y - 1219328. Give k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 61, 2.\nAnswer: 2, 4, 6, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxrrxxrxxrxr.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2341*t**3 + 1048*t**3 - 1 + 1120*t**3 to the form g*t + a + b*t**3 + k*t**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(294)\/(sqrt(6) - (sqrt(6) - sqrt(12)\/sqrt(2))) - sqrt(49))\/sqrt(7)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*p + 70 - 378, 0 = v + 3*p - 94. What is the remainder when v is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 48. What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550 - 7 = 73*m - 917 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 + 1. Let h be q(2). Let c(w) = -2*w**3 + w + 2. Let z(a) = -56*a + 55*a + 2 + 1 - 2. Give h*c(m) - 2*z(m).\nAnswer: -2*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:03 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 1862*f - 1867*f - 15, -2*f = -0*i + 6*i + 3*i - 33 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4965, -4976, -5011, -5082, -5201, -5380, -5631?\n\"Answer: -2*m**3 + 3*m - 4966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2488 - -4380. Let d = 3897 - m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -17*c + 72. What is d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -17*w**2. Let u(r) = r + 3. Let o(v) = -66*v - 108. Let i(y) = -o(y) - 36*u(y). Determine i(t(l)).\nAnswer: -510*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223922 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 28*h - 191. Give b(23).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39b (base 12) in base 9?\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39435 - -39435.000063533. Round n to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, z: 1}. Give prob of picking 1 x and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1040 and 112920860.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 73*o**2 + 765*o + 1526. Give l(-2).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**32)\/f**14*f**(-2\/5)*f\/f**(-12)*f)**(-14\/11) assuming f is positive.\nAnswer: f**(-2282\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -g + 12 - 68, -4*g + 5*f = 180. What is the common denominator of g and ((-2)\/20)\/(1\/26*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 753 - 43*s**3 - 753 + 0*s**3 - s**3 + 3*s**3 + 0*s**3 + 0*s**3 - s**3 + (-s - s**2 + s)*(2*s - 2*s - 2*s) to y*s**2 + n + o*s + k*s**3 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 220220001221 (base 3) in base 12?\nAnswer: 1b7644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 10. Let s be 31*(0 + 2\/d). Suppose -p = -5*y - 11, -2*p + s = -p - y. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -6 in increasing order.\nAnswer: -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - 2*u**2 - 2*u)*(-u + 3*u - 4*u) + 15*u**3 - 16*u**3 + 86*u**3)*(u**2 - 3*u**2 + u**2).\nAnswer: -89*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -3 (c) 0 (d) -61 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -542*i**4 - i**3 - 196*i wrt i?\nAnswer: -6504*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -8, 0 = -h + 4*d + 30 - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8218518 litres to millilitres.\nAnswer: 821.8518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - 3230?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-3)*135\/4. Is (12\/8)\/((-3)\/w) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 7. Let o be r(6). Suppose -2*d = -5*g + 2*g - 10, -14 = -3*d + 4*g. Let z be 8\/(-6)*(-3)\/(-22). Which is the closest to o? (a) d (b) z (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5159 - 2483. Suppose v = 5*f + a, -12*f + 2139 = -8*f - a. What are the prime factors of f?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c + -9a8?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Let r = 117 + -116.9. Let t = r + 0. Which is greater: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4378763193 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*s**2 + 4*s**2 - 41*s**2)*(s - 3*s + 0*s)*(-2 - s + 0*s + 3*s).\nAnswer: 352*s**4 - 352*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0, 0.534, 0.65?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6634 + 2475 = k. Let p = -2509 + k. What is p rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-20)*2\/28*24\/((-756)\/63).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 5*v**2 - 6*v. Let u be o(-3). Suppose 4*z + 6*z - 380 = u. Find the third derivative of -38*w**4 + z*w**4 + 23*w**6 - 20*w**2 wrt w.\nAnswer: 2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-25)\/(-12150)*54.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -54. Let l be (2 - s) + 1\/(-4)*-4. Let m(x) = 5*x - 2. Let w(v) = 4*v - 2. Determine l*w(h) - 2*m(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 62828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4485984ml in litres?\nAnswer: 0.0004485984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/60)\/(4818\/(-2555))?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(171)*2*6)\/(-5*((sqrt(9) - sqrt(81)\/sqrt(9)) + sqrt(9)) - sqrt(27)\/(sqrt(3) - sqrt(243))).\nAnswer: -32*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-30)*(-27)\/(-126)*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977871137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.399 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -493 + 250 - 3*j**2 + 243. Let m(b) = 29*b**2 + 1. What is a(m(l))?\nAnswer: -2523*l**4 - 174*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joojojjjjo. What is prob of sequence jooj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7*-8.04\nAnswer: 56.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazzzzaaaazzaazz. Give prob of sequence zzaz.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10.0064. Let a = z - 0.00640229. What is a rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36526 (base 7) to base 4.\nAnswer: 2110312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3163, 3160, 3159, 3160, 3163, 3168?\n\"Answer: q**2 - 6*q + 3168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 132820?\nAnswer: 132820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 3*a + 1. Let b be j(2). Let w be (10\/b - (-1 + 1))*6. Solve -3*d + 10 = w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384831.\nAnswer: 7, 181, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 32 = -2*k. Let d = 652 - 388. Suppose -3*t + d = -0*t. Calculate the greatest common factor of k and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 4*a + 0*a)*(5*a - 5*a**4 - 5*a).\nAnswer: 15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*t - 10 = 139*t. Let j = 71 - 71. Solve j = t*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -12. Let z = 1.4 - 4.3. Let j = z - q. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 2)*(1 - -3). Let j(r) = -3*r**2 - 26*r + 14. Let w(a) = -14*a**2 - 110*a + 57. Let o(y) = -9*j(y) + 2*w(y). Let g be o(x). Is g < -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11126, 117, -316 in descending order.\nAnswer: 117, -316, -11126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30634542091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + 827?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 7\/6*i**4 - 1\/3*i + 1\/3*i**3 - 7\/6*i**2 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 5*y**2 + 6*y. Let z be (-4)\/(-10) - 27\/5. Let m = z - -7. Let w(r) = -7*r**m + r**3 - 5*r**3 + 16*r**2 - 11*r. Determine -7*n(h) - 4*w(h).\nAnswer: 2*h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321777 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - -46. Let q = h - -17. Let u = -80 + q. Sort u, -0.5, 3\/2, 4\/5 in increasing order.\nAnswer: -0.5, 4\/5, 3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -11, 0, 4 in descending order.\nAnswer: 60, 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 18*a**2 + 58*a + 20. Let f be p(-14). Let m(b) = b**3 + 7*b**2 - 10*b - 6. Calculate m(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*y = -0*g - 797, 2*g + 2*y = -522. Suppose 6*j + 752 = 8*j. Let z = j + g. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.166190093 rounded to five dps?\nAnswer: -0.16619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2000 (base 3) to base 12\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 500413 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/9 (b) 2\/5 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -67. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40143.184 rounded to the nearest one hundred?\nAnswer: -40100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3))**(-3\/10))**(-4\/5)*(w\/(w**4*w*w))\/(w*w*w*((w**(-1\/4)*w*w)\/w)\/w*w)*(((w*w*w**(-2)*w)\/w)\/w)\/w*w**5*w assuming w is positive.\nAnswer: w**(-459\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 8, 30, 60?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 5:19 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 507, 2022, 4547, 8082, 12627?\n\"Answer: 505*j**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 7. Let o be x(5). Is 1 - (-7 - o - -2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0.6 (b) 1\/5 (c) 0 (d) -4 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(504) - (sqrt(126)*2)\/sqrt(9))\/((-4*sqrt(112) - sqrt(112))*-6*-5).\nAnswer: -sqrt(2)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**9\/5040 + o**6\/240 + o**4\/6 - 4*o**2. Let v(p) be the second derivative of w(p). Find the second derivative of v(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:55 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 10 = 12*d. Suppose -5*g = 20, -5*g + 50 + 305 = -5*z. Let c be z\/(-12)*(-4)\/(-10). Is d greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3abc7d - -a?\nAnswer: -3abc73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + 9 - (-51 + 40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c744 (base 14) to base 3.\nAnswer: -120102000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 52*v - 53*v = 3400, -3*r + 5*v + 5100 = 0. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l - 43*l + 13*l = -13542. What is the remainder when 4751 is divided by l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6. Let b(l) = l**3 - 22*l**2 - l + 19. Let s be b(22). Let d be (o + -1)*s + -5. What is the biggest value in 0, d, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 0.1, -0.2, 0.4, 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 1 - 10*k - 5*k**2 + 10*k.\nAnswer: -9*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85184\/19 - 4485. Find the common denominator of 41\/2 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 17*r**2 - 3*r - 25. Let o = 10 + -10. Suppose 3*i = -u - 8, i + 14 = -o*u - u. What is the remainder when y(u) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 4*m - 4. Let z(c) = -6*c + 276 - c + c - 270 + c**2 + 0*c**2. Let i(l) = -3*h(l) - 2*z(l). Let d(v) = 45*v**2. Determine -5*d(o) + 54*i(o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 7. Let q be n(4). Suppose 4*l - 5464 = -2*s - l, -4*l = q*s - 13694. Let p = 287912\/105 - s. Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909468270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2153025 - -25225?\nAnswer: -2123400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259b (base 15) to base 16.\nAnswer: 1f55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgg when three letters picked without replacement from {x: 9, g: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by -1?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 414\/13 + -32. Which is the third smallest value? (a) -2 (b) -8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.39 + 1.61. Let h = a - 69.000487. Round h to 5 dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/6 + 236459*k**3\/6 - 472910*k**2\/3.\nAnswer: -k**2*(k - 236455)*(k - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (858\/(-2457)*-9)\/(5*7\/(-245)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 717416 divided by 28\nAnswer: 25622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30c - -19292?\nAnswer: 195a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + 39 + (-146 - -39)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 0*d - 1\/2*d**2 - 18. Let v(c) = -50*c**2. Give v(f(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 2*l - 2. Let h(g) = g**3 - 5*g**2 - 5*g - 1. Let m be h(6). Determine b(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 6 - 12. Suppose -74 = 5*c - 4*k, 5*c + 2 = 4*c + 4*k. Let s = b - c. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(10\/9)*s)\/(s*s**(-12\/7)*s) assuming s is positive.\nAnswer: s**(178\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11ad (base 14) to base 11.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145113803 to the nearest integer?\nAnswer: 12046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/33, -0.5, 0, -58?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1835248 and -77\/60370.\nAnswer: 9176240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11*v + 9 = -16*v, 5*v = -5*g - 5. Solve g*a + i = 6*a + 5, 2*a + 13 = -3*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005787891 to 4 decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 1\/2 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*q + 312 = 0, -2*x - 3*q - 118 = 38. Let j be ((-3)\/x)\/(4\/(-16)). Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = -0*d - 3*d, 2*d = 4*x - 12. Let n be (1\/d)\/((-1)\/(-2)). What is the greatest common factor of n and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9431265 to the nearest integer?\nAnswer: 3071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(243) + sqrt(243) + sqrt(243) + -3*sqrt(243) + -4 + sqrt(243) + -3 + sqrt(243) + sqrt(243)*-3)**2.\nAnswer: 252*sqrt(3) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x**2 - x + 35. Let v be m(0). Suppose -43*w - 308 = -65*w. Calculate the lowest common multiple of w and 2\/12 - v\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9384553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (68\/15232*-160)\/((-1)\/(-35))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*v + 11*g*t*v**2 + 3*g*t - 282*t*v**2 - v**2 + 2 wrt g?\nAnswer: 6*g**2*v + 11*t*v**2 + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -3*r**2\/2 - 5*r - 202. Let h(t) = -t - 1. Calculate 4*h(j) - l(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110010 (base 2) in base 14?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = 84*x + 3465. Put 4, -14, x in ascending order.\nAnswer: x, -14, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*l + 515, 23 = 3*l - 3*m + 311. Let v = 103 + l. Solve -4*k + 2 = -v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102112221 (base 3) to base 10.\nAnswer: 8422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 + 215. Let t(p) = p**3 + 8*p**2 - 12*p - 9. Calculate t(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - c**2 + 2*c - 1. Let t be s(-2). Suppose 5*j + 8 = -t. Sort j, 0, -1.\nAnswer: j, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 4. Let a be t(-5). Let c = a + -25. Let h be (-10 - c)*(-2 + 19). Solve h = -3*p - g, -p = 2*p - g + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2\/2 - 17*b + 3. Let o(m) = 1. Let x(a) = -n(a) + o(a). Let l be x(16). Solve -15 = -3*k - l*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2049543 to 3 decimal places.\nAnswer: 1.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1585*z**2. Let x(u) = 18*u**2. Calculate x(r(c)).\nAnswer: 45220050*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4876?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 3453\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.3495566 - 38.35. What is x rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1579 - 1557. Let f(h) = 2*h**2 + 4*h - 3. Calculate the remainder when q is divided by f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213097?\nAnswer: 213097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53605 = 5*m + 45*p - 50*p, -5*p = 45. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234561835.3 to the nearest 100000.\nAnswer: -234600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 19 = 47. Let d(z) = -201430*z - 10. Let w be d(y). What is w rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5163 - -3967. What are the prime factors of s?\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -123*l + 252. What is i(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * -0.11437.\nAnswer: -4.00295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75\/148 + 28\/37. Let t = 2 + 0. Let j be (-3)\/(-27*(-2)\/(-4)). What is the second biggest value in t, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d3 (base 14) to base 2\nAnswer: -101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (38 - -92) - 92?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56550 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h - 8 = 0. Let m(i) = i**2 - i. Let c(r) = -3 + 100*r + 9 - 2 - r**2 - 50*r - 48*r. Calculate h*m(x) - c(x).\nAnswer: -x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21773*a**2 - 159*a - 2878940.\nAnswer: 43546*a - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Add 58.5 and -5.4.\nAnswer: 53.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 526 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1379 + 1378. Which is the third biggest value? (a) f (b) 3\/7 (c) -5 (d) 0.8 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) -19 (b) 11\/5 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28316833, 56633668, 84950503, 113267338?\nAnswer: 141584173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 24. Let t(v) = 3*v**2. Calculate t(f(d)).\nAnswer: 3*d**2 - 144*d + 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/179?\nAnswer: -4\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 11, -3, -9 in decreasing order.\nAnswer: 11, 6, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33512333 (base 6) to base 12.\nAnswer: -4126a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-193)\/2316)\/((-10)\/(-12)))\/((-15)\/1920*4).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*(7 - (-266)\/(-35))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -13\/30*s**6 + 0*s**5 + 0*s**2 + 3*s + 0 + 7\/6*s**3 + 0*s**4. Find the second derivative of l(a) wrt a.\nAnswer: -156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66504 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*v = -13, 3*q - 2*v - 9 = v. Is q < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**6\/120 + t**5\/40 - t**3\/12 - t**2\/8 + 2*t + 1. Let d(k) be the first derivative of j(k). Factor d(h).\nAnswer: (h - 1)*(h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 767643 at least as big as 767645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 473460522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 184931500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 9:50 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 28, 43, 62, 85?\n\"Answer: 2*l**2 + 5*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10743 + 2624 + 28345 = 8*c. Is c a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418244?\nAnswer: 2, 3, 73, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 23 + (2 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77693 = 5*u - 7*u + 5*s, -5*u + 4*s + 194207 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 27. Let u = 7 - -4. Let q be o(u). Suppose -317 + 282 = -7*g. Solve -c + 14 = -4*t - 6, q*c = -t - g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddudddduddddddd. Give prob of picking 2 d.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*p + 63910 = -1305*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b - w + 1, -5*b - 4*w + 4 = 0. Let u(l) be the second derivative of -1\/20*l**4 + 0 - 9*l + 1\/10*l**3 + b*l**2. Suppose u(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/12 + 8*i**3\/3 - 5*i**2. Let s be x(7). Suppose 2 = -s*v + 72. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 26 = -9*c + 19*c. Put c, -3, 1, -34 in ascending order.\nAnswer: -34, -3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -654 + 657. Suppose -5*m = -0*m + 3*a + 34, 0 = -m - a - 8. What is the nearest to -1\/3 in x, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -853240818840076.\nAnswer: -853240818840071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v + v + 14*v - 6*v - 2*v - 2*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 2*k**4 - k**3 + 3*k**4 + 2*k**3 + k**2 as c*k**3 + y*k**2 + m + o*k**4 + p*k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40681 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t - 2*t**3 - 5*t)*(-t - 2 + 2*t + t) in the form c*t**2 + u + l*t**3 + s*t + y*t**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 7*x + 4. Suppose -5*g + 6 = -3*c, 55 - 5 = -5*c - 5*g. Let z be q(c). Let a(y) = 4*y - 7*y + z*y - y**2 - 8 + y**3. Determine a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9126.635mm in nanometers?\nAnswer: 9126635000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -6, 0, 10, 24, 42, 64?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 13*o - 14*o. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 4. Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/30 - 17*x**2. Let n(t) = -1. Let h(i) = 38*i**2 - 114. Let k(r) = -h(r) + 114*n(r). Determine k(p(j)).\nAnswer: -152*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -15 + 48. What is the highest common factor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + 1 + sqrt(720) - (sqrt(720) + -3*(0 + sqrt(720)) - sqrt(720)))**2*-5 + -5 + (((sqrt(720)*1 - sqrt(720))*-4 - sqrt(720))*-3)**2).\nAnswer: -102290 + 1920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 5387198.\nAnswer: 16161594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-29 - -27) + -19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -17.87. Let d = h - -4.87. What is the nearest to -1 in -4, d, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60881 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y. Suppose -9*v - 92 = -32*v. Let f(x) = 821 + 0*x + v*x - 821. Calculate b(f(z)).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 + 274*v - 159. What is h(68)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 18. Let j be (5 - 6) + ((-4)\/(-6))\/((-40)\/(-540)). Determine f(j).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-26)\/(754\/841))\/(-1*(-1)\/(-7)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1464\/13? (a) -0.05 (b) 6 (c) 0 (d) -2\/3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 16. Suppose 3 = -n*k + 2*k + 2*l, 5 = -k + 2*l. What is the closest to k in -0.1, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001100 (base 2) in base 12?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*a**2 + 18*a - 18*a.\nAnswer: -268*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:43 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96, -167, -254, -363, -500?\n\"Answer: -n**3 - 2*n**2 - 58*n - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6306010 - -4?\nAnswer: 6306014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-336)\/240)\/(2\/10). Which is the second biggest value? (a) -3 (b) -4 (c) 1 (d) 4 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 32.7. Let p be (-5 - -4) + (-4)\/(-3). What is the nearest to -1 in a, p, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829536 divided by -2.\nAnswer: 414768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -39*u. Let m(a) = -a. What is -26*m(c) + y(c)?\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -106361, -212724, -319087, -425450?\n\"Answer: -106363*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 + 21\/(-11 + -10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*k*k**11\/k*k*k*k)))\/(k**20\/k)*((k*k**(8\/7)*k*k)\/k)**11 assuming k is positive.\nAnswer: k**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104676583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6809 + 14802. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(4\/12))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 18*l + 3055. Let q be z(39). Calculate the greatest common divisor of q and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -113.17. Suppose 10*f - 5*f + 15 = 0. Let j be 1\/f*12\/2. Is j != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 18*s + 313. What is y(-10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/3, -80, -8 in descending order.\nAnswer: 2\/3, -2\/5, -8, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641 = -5*o + 3*a, 0 = 2*o - a + 3*a - 250. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1112)\/(-340411)*-62)\/(-8)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4650737 divided by 49.\nAnswer: 94913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 25 = -6*y. Suppose y*z = -12, 5*z = -2*h + 3796 + 3910. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26830 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15538, 247, 1 in descending order.\nAnswer: 247, 1, -15538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386461849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5826304.1035644 + -5826315.3. Let a = 11.5164 + y. Let i = a - 0.32. Round i to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 183.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 326 = -j - j, 100 = a + 5*j. Suppose 6*k = -86 + a. Sort 2, 53, k in ascending order.\nAnswer: 2, k, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 135 = 3*n, 8 = -n + 5*t + 72. Let o = 2 - -17. What is the remainder when n is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2.031, -0.3, 1\/2 in ascending order.\nAnswer: -27, -0.3, 1\/2, 2.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = 2. Let s = m - 1. Let q be s + (-3)\/(-3) - 1. Let v(w) = w + 2. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*i + 28. Suppose 0 = 3*c - c + 4*o - 74, 0 = -2*c + 2*o + 104. Calculate the remainder when c is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:18 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 8*v**2 - 8*v + 2. List the prime factors of s(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 at most as big as 22363\/432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3324066 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 18646431613\nAnswer: -18646431612.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 350 = -8*v. Let x = -42 + v. Suppose x*k - 30 = 23*k. Calculate the highest common divisor of k and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -41. Suppose -p = p + x. Is ((-3)\/(-2))\/(p\/(-42)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 2*m + 35. Let a(n) = -3*n + 4. Let t be a(-3). What is the units digit of t + -1*(-3 + m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142224 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 847888*s - 44932128784.\nAnswer: -4*(s - 105986)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 5*j + 56 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*c*i**2*m + 29*c*i**2 + c*i - 209*c*m - 13*c + 2*i**2*m - 14*i**2 + 4*i - 3*m wrt i.\nAnswer: -40*c*m + 58*c + 4*m - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1523 - -3354. List the prime factors of o.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*o**2 - 2*m*o - m + o**2 - 25908*o + 73703 wrt o?\nAnswer: 4*m*o - 2*m + 2*o - 25908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415678 is divided by 82495.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(-8*(-4)\/96)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l = -3*m + 92, 3*l - 25*m + 26*m = 39 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.109 + 0.009. Which is the nearest to u? (a) -4\/9 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-4 - -1)) + 9 - (-1 - 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*u = 11 + 2, -3*u = -2*g. Suppose 0 = 2*s - k - 113, -g*k + 222 = 4*s - k. Solve -s*v + 125\/2*v**4 - 120*v**2 - 8 - 50*v**3 = 0 for v.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 4*b + 4*d, 5*b - 4*d - 286 = -0*b. Let n = 72 - b. Let j be (4*3\/9)\/(12\/n). Solve -3*r - 12 = 0, 4*r = 3*o + j*o - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 2*m + 60 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.103 + 0.297. Let y = 5.4 + -5.4. Let o = 3 + -7. What is the nearest to y in 5, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1163 + -1163.19936. Let o = 0.2 + j. What is o rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00127662 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -43. Is y*((-300)\/5)\/(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/156 - 52298\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 170206.\nAnswer: 10212.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in 1\/9, 4, 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**8\/28 - 793*h**7\/21 - 109*h**4\/6 + 8*h**2 - 8*h + 50. What is the third derivative of b(c) wrt c?\nAnswer: 240*c**3 - 95160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*-3 + 1\/2. Suppose -5*r - i + 3*i + 195 = 0, -3*i + 78 = v*r. Calculate the lowest common multiple of 1 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001125499589 rounded to seven dps?\nAnswer: -0.0011255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-5)\/((-135)\/(-18))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyypyyr. Give prob of picking 2 y and 1 r.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 25 = -5*i, 362*v - 366*v = -4*i + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*h**3 - 313*h**3 + 941*h**3.\nAnswer: 983*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1568*q + 1973. Give j(2).\nAnswer: -1163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*y + 15 = 0, -3*i - 2*y + 69 = 2. Let h be 2\/(8\/380)*(-4)\/(-10). Suppose 5*f - h + 13 = 0. Which is the nearest to -1? (a) 0.3 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427.682581 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -1\/5 (c) -0.0913 (d) 5 (e) 0 (f) -30\/7 (g) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674.06 - 7?\nAnswer: 2667.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 94. What is the greatest common factor of 7 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*c = -v - 7, -2*v - 3*c = -21. Let t be (-8)\/v - 16\/(-6). What is the second derivative of 3*n**2 + 5*n**4 - 6*n - 4*n**4 - 3*n**t wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44761191 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f. Let t be f - (2 - 1) - -5. Suppose -13 = -4*y - o, -4*y - 1 = 2*o - 15. Solve -5*q = -2*m + 5 + 8, 0 = -t*m - y*q - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2214721 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (6 - 5) + 3 + 5 - 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55137569.\nAnswer: 55137569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 - (-12)\/(-30). Let x(c) be the first derivative of 3*c - 1 + 1\/3*c**3 + 1\/4*c**4 - 1\/2*c**2. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2 - 1365*q + 289*q + 2583*q**3 - 1743*q - 3040*q**3 - 3811*q**3 wrt q?\nAnswer: -25608*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -4*t**3\/3 - t**2 + t. Let f be y(-2). Let h = -6 + f. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 11 + 9. What is the highest common factor of h and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.72 - -2.2. Let l = p - -0.16. Let r = -0.64 + l. Is r not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n - 4*n)*(6*n + 0*n + 2*n).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 23*x - 140. What is v(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b**3 + 4*b**3 - 6 - 18*b + 6*b**2 + 39*b = 0. Calculate b.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 13*d + 48 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -35. Suppose 3*z = -59 + j. Let g(q) = q**3 + 8*q**2 - 11*q - 4. List the prime factors of g(z).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -47*h**2. Let z(c) = 4 + 5*c - 31*c - 4 - 2*c. Determine k(z(d)).\nAnswer: -36848*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/((11 - 12) + 13).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose -x = b*x - 20. What is the third derivative of x*l**2 - 8*l**2 + 3*l**6 + 5*l**2 wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 74.38821 meters?\nAnswer: 0.07438821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 2*j + 3, -5*i + 4*j + 8 = 0. Suppose v + i*v = 3. Suppose 4 = y + v. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 - -234. What is the remainder when 79 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15261, -14695, -14129, -13563?\nAnswer: -12997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3\/2))\/w)**(-2\/73)*(w\/(w\/(w\/w**1)))**(24\/11) assuming w is positive.\nAnswer: w**(3\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -195*p + 3. Let l be b(2). Let t be l\/(-4) + 2\/8. Suppose 3*y = -y + 3*v + 131, 0 = 3*y - v - t. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 134586.\nAnswer: -1\/134586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 22222122?\nAnswer: 100000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 2*j**2 + 0*j**2 + (7707*j - 981*j**2 - 7707*j)*(2 - 2 + 1).\nAnswer: -980*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 770732898*i**4 - 977656410?\nAnswer: 3082931592*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 + 2\/18*11.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.2, -1.4, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -0.07 (c) -0.04 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 2*s**2 - 9*s + 1. Let m(o) = 4*o**3 - 9*o**2 + 35*o - 5. Give -2*m(p) - 9*n(p).\nAnswer: p**3 + 11*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907645?\nAnswer: 5, 381529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 times 13298.44\nAnswer: -5718.3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 994513727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 9:41 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1033 + -1032.5992. Let c = -0.41 + w. What is c rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0)*(42 - 58 - 72 - 13).\nAnswer: -101*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8216*u. Let w(v) = v**2 + 245*v. Determine t(w(s)).\nAnswer: -8216*s**2 - 2012920*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**5 - 37*b**2*r**2 - 66*b*r**2 + 2*b*r - r**2 wrt b?\nAnswer: 160*b**3 - 74*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrv when three letters picked without replacement from vvvrvrrrrvrvvrrvrvrr.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 143 = -3*m. Suppose -4*x - m = -4*s + 983, 3*s = -x + 776. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - -5) + (0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 19452*z + 324. Let f be q(-12). What is f rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:39 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 82866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3415 or -810?\nAnswer: -810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -18. Which is greater: k or -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*y + k + 20, 5*k + 28 = -3*y. Let l(c) = -16*c. Let q be l(y). Solve -4*r + 25 = -3*b, -3*r - r + q = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30.4 in -1\/2, 24, -5, 1\/11, 0.4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -55248960 divided by 114\nAnswer: -484640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from qqwqwwsqqwmsqqmqsqw?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 4*g**3\/3 - g**2\/2 - g - 4. Let r be b(-1). Put r, 0.5, -1\/4 in decreasing order.\nAnswer: r, 0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*6\/12 + 9. What is the second derivative of 103*w**5 + 68*w**4 - 27*w - 125*w - 68*w**d wrt w?\nAnswer: 2060*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17439869 + 1162261. Let o = u + 1124011. Suppose -r - 5300000 = y, -3*y + 1473859 = -4*r - o. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 3*n + 77*s + 2 + 21 + 13, s = -s for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Suppose 5 = 2*a + 1. Let o(v) = v + 4*v - 4*v + a*v - 5. Calculate o(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*f - 3*l, 5*f - 54 = -2*l + l. Suppose -x - 12 + f = 0. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 - -1.84. Let z = 0.06 + h. Let n = -0.7 + 3.7. Put 1, z, n in decreasing order.\nAnswer: n, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -139\nAnswer: 97.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 2*f**3 + 0*f**3 + (1 + 4*f**3 - 1)*(-4 - 1 + 3).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)*u)\/u)\/u**(-3\/2)*u**(1\/6)*u*u*u\/((u\/(u\/(u*u*u**4)))\/u) assuming u is positive.\nAnswer: u**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.228917025, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 610132928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 18 - s - 20)*(-7 + 33 + 3 + (-4 - 1 + 3)*(-3 + 0 + 5) + 4 - 4 + 2).\nAnswer: -27*s - 297","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 327831 or 15.8?\nAnswer: 327831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.16 + 4.06. What is r rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*v + 58073 - 3358 - 4624 = 0 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*i + 28647 - 3727 = 0. What is the remainder when i is divided by 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -12 - (-2 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383194251 to the power of 1\/4, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i - 14*i + 12*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 677 = 6*c - 2*c, c - g = 168. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = -4, 2*n = -5*q + 21. Suppose n*t = t + 18. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from googoooggooooo?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*b = -27, 0 = -18*g + 13*g - 4*b + 41 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 + 2 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2 less than 25362945.01?\nAnswer: 25362929.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5538*t**3 + 7278*t + 360003924.\nAnswer: -16614*t**2 + 7278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155624565 (base 7) to base 6.\nAnswer: -1014420313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 421*q**4 - 1056*q**4 + 460*q**4 - 2*q - 3 - 4*q**2 + 2 + q**2 + q**3 to the form v*q**2 + h + n*q**4 + o*q**3 + l*q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m - 1)*(9 + 56 - 123)*(2*m**2 + 2*m**2 - 2*m**2) + 6*m**3 - 3*m**3 - 4*m**3.\nAnswer: -117*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38408, -76834, -115274, -153734, -192220, -230738, -269294, -307894?\nAnswer: -346544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 531, 488, 445, 402?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5)*h)\/h*h**(10\/9))\/(h**(-4\/11)\/(h\/((h\/h**(-2\/3)*h)\/h))) assuming h is positive.\nAnswer: h**(674\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -435 + 434.8. What is the biggest value in 0.5, -0.321, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/15, -1, 25, -0.2, 1\/4 in descending order.\nAnswer: 25, 1\/4, 0.1, 1\/15, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:43 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 5. Let x(m) be the second derivative of -23\/30*m**5 - 4\/27*m**3 - 25\/189*m**7 + 0 + 2*m - 14\/27*m**6 + 0*m**2 - 14\/27*m**u. Factor x(o).\nAnswer: -2*o*(o + 1)**2*(5*o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34983789*o**4 + 41238925?\nAnswer: -139935156*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from {u: 9, f: 4, i: 3, g: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*m = 3*m - 11, 6*m + 46 = 4*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 - 7*n. Let f be j(6). Calculate the least common multiple of 1 and (12\/(-9))\/(f\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 36. Let u = -14 + y. Suppose -5*z + 7 = 6*m - 3*m, 3*z + 11 = u*m. Let f(b) = -b - 2. What is f(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60647 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9870506 divided by 4935253.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 3830, 5781, 7756, 9755, 11778?\nAnswer: 13825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -13. Suppose 10 = 5*y - 3*q - 0, 0 = q + c. Let i be 5400 + 1 + y\/1. Round i to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 - 3*b + 6. Is d(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 71?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(1100) + (-1 + sqrt(1331) - sqrt(1331)) + 5.\nAnswer: 6 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euducccduc. What is prob of sequence dc?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.1 + 4.1. Put -1, 1\/2, -0.1, q in decreasing order.\nAnswer: 1\/2, -0.1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 - 199 = -11*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - p = 97, -3*p = -4*k + 48 - 137 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 q when four letters picked without replacement from vvdvedeeqklqkkdkddvk?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfdf when four letters picked without replacement from {f: 4, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/329 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 770*r**2 + 20*r + 11. Is v(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74169.83 litres in millilitres?\nAnswer: 74169830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) -94\/9 (c) -4 (d) 0.043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((2 - 1)*1 + -22). Solve -5*m + 1 = -r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 9:09 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7956, -5, 5 in descending order.\nAnswer: 5, -5, -7956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i - 2. Let c(h) = 29 - 19*h + 35*h + 24 - 55. Determine -5*c(u) + 4*r(u).\nAnswer: -16*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3068986*i**4 - 44*i**3 + 23638065*i?\nAnswer: -36827832*i**2 - 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*q + 397*q + 455*q + 433*q + 418*q - 2022*q.\nAnswer: 83*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 579159862 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 3*p**5\/20 - p**4\/12 - 10*p. Let x be s(-1). Is 515*(0 - (3 + x)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1106 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(18)\/sqrt(6)) + sqrt(19) + (sqrt(228) - (sqrt(228) - sqrt(228)*3))\/sqrt(12).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*o - 1 = 0, q = 5*q - 4*o + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 944*i**2 + 44956*i + 1056720.\nAnswer: 4*(i - 148)*(i - 105)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2928.87 - 3027. Let u = n + 100. Let p = u - 5.71. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5315337748 to the power of 1\/3, to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u + h + 5 = 0, 6 = 2*h. Is 1*(33 + (0 - u)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 30, 23 in decreasing order.\nAnswer: 30, 23, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 6*o - 3*f + 11 + 82 = 0, 0 = -6*o - 2*f + 62 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6649 - -6644. What is the fourth biggest value in b, 2, -91, -2\/3?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194304 divided by -66.\nAnswer: -2944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 528604361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-2 - 2\/(-6)). Let w(n) be the first derivative of -n**3\/3 + 5*n**2\/2 + 4*n + 903. Calculate w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 99.11. Let i = a + 0.11. Let z = -4 + i. Is -0.1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2587 and -28\/13.\nAnswer: 2587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(1 + 5*2*(sqrt(539) - 4*(sqrt(539) + 1 + sqrt(539)) - (0 + sqrt(539))*5)))**2.\nAnswer: 2399040*sqrt(11) + 279474244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a factor of 151717571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 12*x**2 - 34*x - 13. Give t(15).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405757519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*o + 5*t + 7, 0 = 4*o - 5*t + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41725a6 + -1?\nAnswer: -41725a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + j + 4 = 6, -2 = -4*i - j. Suppose i*r - r - 5000 = 0. Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -68?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1666 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5\/21 - 2*o**4\/21 - 2*o**3\/7 + 10*o**2\/21 - 4*o\/21 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(125) + 1 - sqrt(125)) + 2)**2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 1 + 2*a**2 - 14*a + 7. Suppose 261099*x - 325 = 261074*x. What is r(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344770 and 241339?\nAnswer: 2413390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.3 + 5. Let t be (-2)\/(-3) - (0 - 0). Let v = 1 - -2. Sort t, o, v in descending order.\nAnswer: v, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 353*f + 12 - 13*f**2 - 38*f**2 - 7.\nAnswer: -51*f**2 - 353*f - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001100 + 1?\nAnswer: -1001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/4 - 18926*m**3 + 477490320*m**2 - 4012188764800*m - 64317335296000 = 0. Calculate m.\nAnswer: -16, 25240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*m + 23 = 3*p, 33 = 4*m + 5*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -16817718?\nAnswer: -16817718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 + 4)\/1 - 8\/6) + 98144\/(-138015)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1. Let u(h) = -h + 5. Let x(y) = -3*j(y) - u(y). Let p be x(12). Solve -3*b**2 + 0*b**2 + 3*b**5 + 0*b**2 + 9*b**3 + b**4 - 10*b**p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 3*t**5 + t**3 + 34*t**5 + 3*t**5 + 9*t**5 + (3*t - 2*t - 2*t)*(-t**4 + 6*t**4 + 0*t**4).\nAnswer: 44*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 - (0 - -6 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 2*l. What is p(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -369, 2, 0.13, -0.3, 0.2, 1\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 456.43701+-7\nAnswer: 449.43701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25115*k*v**2 - k*v - 4061*k + 4*v wrt v?\nAnswer: 50230*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174223492 divided by -2453852?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 2865159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-38 - (-8576)\/224)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2370 + 5848. Is 74 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Let k(s) = -4*s**2 + 4*s + s**2 - 2*s + 2. Let a(p) = 19*p**2 - 13*p - 13. Let m(b) = -6*a(b) - 39*k(b). Give m(q(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -6, 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6440)*5*(-2478)\/(-118).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -92. Solve i = 7*a - 10*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 2\/11 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -65*o**2. Let m(h) = 3312*h**2 + 2. What is m(a(u))?\nAnswer: 13993200*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-20))\/(14\/10 + -1). Suppose -21 = -g - 2*y, 5*g - 2*y - m*y = 35. Let q = 93 + g. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49541 > -49631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*c = 17, 6691*v - 11 = 6688*v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*(-18)\/(-15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l. Let v(t) = 378425*t**2. Give v(r(n)).\nAnswer: 30652425*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407044050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1912*n**4 + 361*n**2 wrt n?\nAnswer: 45888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, 0, -5, 1\/3, 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 - 3*v**2 - 3*v\/2.\nAnswer: -3*v*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/12)\/(1\/3). Suppose 0*j + j = -5*g + 15, 0 = 5*j + 25. Suppose -g*r - 1 = -y. Solve -24 = -z - 4*a + r, 0 = 3*z + 4*a - 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 19180?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8054, -2, 159, 5 in increasing order.\nAnswer: -2, 5, 159, 8054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28.4 + 28.4. Let p = -0.1 + 0.4. What is the third biggest value in v, 3, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 - 12 + 0*j + 20 - 10 - j.\nAnswer: 28*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44536 + 0?\nAnswer: -44536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 48 = -10*p - 8 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 7, e: 1, x: 2, l: 3}. Give prob of picking 1 e and 1 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 + 0 = 0. Let q(p) be the first derivative of p**3\/3 - p**2\/2 - 5*p + 4. Let h(w) be the first derivative of q(w). Calculate h(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4819 - -13a?\nAnswer: -46ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0857 - 3.9143. What is the second biggest value in 0, y, 2\/7, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yabbqqqqwabq. Give prob of sequence bqy.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 17*r**2 + 54*r + 28. Let o be n(-13). Solve 3*q - 7 = o*m - 2, -3*m = 3*q - 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 22*v**2 - 9*v + 73. What is j(-7)?\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5. Suppose 5*t - 5 = n + 11, t + 2*n = u. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10 + 7*p + 0*p - 7*p - p. Let o be l(5). What is the greatest common divisor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - 0.8. Let d = 109.86 + -109. Let n = 5.86 - d. What is the closest to 0.1 in 2, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (1 + 12 - 26)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 5*f**2 + 6*f + 8. Let a be z(-4). Solve 3*m + 5*q + 21 = a, m - 2 = 2*q + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 78145?\nAnswer: 1\/78145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 23\/((-368)\/(-48)) + (-53)\/(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.3 - -8. Let k be (-4)\/12 + (-2)\/6. Let m = k + 4\/3. What is the smallest value in m, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 24. Let z be r(-10). Solve -2 = z*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/30 and 11\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 3. What is the least common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565670352 to the power of 1\/3, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.456*-0.7\nAnswer: 3.1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 2, x: 7}. What is prob of picking 1 z and 2 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 22*u + 9*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102097 - -0.2?\nAnswer: 102097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.082 (b) 1.1 (c) -208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(0*b - 2*b + 3*b + (-2 + 2 + 5)*(2*b - 3*b + 3*b))*(-1 - 8*b + 1) in the form l*b**2 + q + v*b and give l.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 1, v: 1, d: 1, i: 1}. What is prob of picking 1 y, 1 d, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2*-4)\/(2*sqrt(64)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l + 37. Let a be f(-8). Let m(d) = d**3 + 26*d**2 - 26*d + 34. Let k be m(a). Let o(j) = -5*j + 1. Let y be o(-3). Solve -3*i + y = -k*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 921, 1, 58 in decreasing order.\nAnswer: 921, 58, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2791561.\nAnswer: 2791561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 746 - 22367\/30. Are q and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (259\/35)\/(648\/10) and 19\/14.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 10 = -10*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3\/11, -9, -4\/7, -53?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:22 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51366 and 3318?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-0.2621.\nAnswer: 0.31452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5232653518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655) + (sqrt(6655) - (sqrt(6655) + -3*sqrt(6655))) + sqrt(6655))\/(sqrt(88)\/sqrt(8)*-6)*-5.\nAnswer: 275*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(9*o - 24*o + 9*o) + o - 2*o + 0*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3)*k)\/(k*k**(-2\/17)*k))\/(k**6\/k**7) assuming k is positive.\nAnswer: k**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*k + 0*k + 13*k**5 + 11*k wrt k.\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 101?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 3 + 0*v**3 + 3 + 2*v**3 + 16622*v**2.\nAnswer: 2*v**3 + 16622*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 - 255*n**4 + 1125*n**3 + 1195*n**2 - 9720*n + 9900 = 0. Calculate n.\nAnswer: -55, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30036, -30037, -30038?\n\"Answer: -k - 30035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*c**3 + 7*c**2 + c**2 - 6*c**2 to q*c**3 + f*c**2 + y*c + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/9*((-115)\/(-10) + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194078805 is divided by 378?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 640411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - 4?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-1))**36 assuming s is positive.\nAnswer: s**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130844, -130818, -130790, -130760, -130728, -130694?\nAnswer: -130658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.88 - 1.12. Let u = g + 123. Let r = u - 61. Which is the nearest to r? (a) -5 (b) -6\/7 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 + 112442?\nAnswer: 112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2. Let m be i(0). Let w = m - -1. What is the tens digit of 1 + (11\/w - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262656\/243 + (24\/(-27) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2114a - 4584?\nAnswer: 17676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17400 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 6*g - 4. Let m be u(4). Solve 5*r = -q + 30, 0 = 5*q - m - 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*t + 12, 1 = -5*o - 5*t + 16. Suppose -20 = -i - o*i. Suppose -5*a + i*a + 4 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -297, -333, -369, -405?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -5, 124.\nAnswer: -5, 40, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 58784018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**5*p + o**2*p**2 + 3*o**2 + 16*o*p**2 - 5*p**2 wrt o?\nAnswer: -20*o**3*p + 2*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lltululu. Give prob of sequence uu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 2*d + 1. Suppose -2*j - 3 = -1. Let f be 0 + j - (-1 + -1). Let y be g(f). Let v(w) = w**2 + 6*w + 1. What is v(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22311 bigger than -22378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 27. Let c be h(0). Suppose -u = c + 72. Let k be (-49)\/u - (-8)\/(-36). Is 0.1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s - 12070 = -311*s - 32*s - 70*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 126*c - 1. Let o(t) = 379*t - 4. Let w(z) = -7*h(z) + 2*o(z). Let l be w(1). Does 9 divide (l\/20)\/(2\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002598 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 5*j + 10 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -7\/6*d**3 + 0 + 1\/60*d**5 - 156*d**2 - 1\/24*d**4 + 0*d. Give a(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 t when four letters picked without replacement from {q: 1, t: 4, s: 1, b: 4, a: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqlllllqzqqlzl. Give prob of sequence zlz.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 146?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1459 - -1486. Solve -4*s - 2*r = 0, l*r = -2*s + 22*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**3 + 2*h**2 + 30*h - 68. What is the smallest common multiple of w(2) and 396?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 - 233. What is the biggest value in 0.06, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nevpphppeppe. Give prob of sequence vhe.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.04 + 0.1.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 22 = f, f - 3*r - 23 + 6 = 0. Suppose f*o - 4 = 0, 3*z + 0*o - 2*o - 62 = 0. Calculate the common denominator of (1260\/(-1950))\/(9\/(-30)) and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1995678.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 229372?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3177 (base 11) in base 7?\nAnswer: -15145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*x - 21*x + 18*x**2 + (0 - 5 + 2)*(-4 - x + 4)*(3 - 2*x - 3) + 7*x**2 + 4*x**2 - x**2 in the form s*x + j + v*x**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 62.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -205109 - 97012. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 784, 1934, 3832, 6478, 9872, 14014, 18904?\nAnswer: 24542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -b - 5*q + 8, -20 = 5*b - 4*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -116.791.\nAnswer: 58.3955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001100010110010 (base 2) in base 8?\nAnswer: 2414262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**4*x - 12*d**3*x - 2*d**2*x - 91*d*x wrt d.\nAnswer: -72*d**2*x - 72*d*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 906015 divided by -27455?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39629\/4 + 9908. Let t(s) be the second derivative of -s**3 + 0 + 22*s + a*s**4 - 3\/10*s**5 + 3\/4*s**2 + 1\/20*s**6. Determine y, given that t(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560798451 to the power of 1\/3, to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 11*w**2 + w - 3. Let r(j) = -j**2 - 31*j + 104. What is the remainder when n(11) is divided by r(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u. Suppose u = -g + 3*g + 16. Is 13 a factor of -28*(2 + 22\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/(-10)*4480\/(-6272)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 - -4) - ((-7 - -5) + (4 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*j = -57*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81972 divided by 8?\nAnswer: -20493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c9b - -3?\nAnswer: -1c98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**43*(b**(-2\/3)\/b)**(-22) assuming b is positive.\nAnswer: b**(808\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1521151, -20 in descending order.\nAnswer: 1521151, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/11*(-11)\/(-9)*9. Sort 5, d, -1, -3 in increasing order.\nAnswer: -3, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*t - 12, 5*t + 6 - 25 = -2*q. Solve 2*j - 5 - q = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 107.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 8*s + 1. Suppose 5*l - 13 = 2*t - 6, -4*l + 2 = 2*t. Let v(x) = -x**2 - x. Determine l*y(q) + 6*v(q).\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.087 - -0.487. Which is the second smallest value? (a) 1\/4 (b) z (c) -0.4 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-60) + (-2)\/12. Suppose -15*i - 3*i + 3744 = u. Calculate the highest common factor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -993 - -2185. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 7. Let y be b(5). Find the second derivative of -y*n**5 + 5*n**5 - 4*n**5 + 2*n + 3*n**5 wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5351 = 4*i, -2*p + 6*i = 4*i + 2142. Let r = p - -4052. Factor -298 + 55*s**2 - r - 1176*s - 2205 - 139*s**2 - 2*s**3.\nAnswer: -2*(s + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 9*k + 11*k)*(4 - 2*k - 4) - 15*k**2 + 0*k**2 - 4*k**2.\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 5) + (-14 + 5 - -7 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744990.\nAnswer: 2, 5, 17, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 - 7*g**2 + (4*g - g - 4*g)*(0*g - 4*g + 3*g))*(-3*g**3 + 3*g**2 + 2*g**3 - g**2).\nAnswer: 9*g**5 - 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 6. Let i be x(8). Let n(l) = -14*l**2 + 29*l**i - 7*l + 7 - 8*l**2 - l**3. Let t be (-1 - 0 - (-3)\/2)*10. Determine n(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 45 = 7*p. Suppose -3*v = -3 + 9. What is the biggest value in v, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4707051, -4707052, -4707053?\nAnswer: -4707054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d + 154. Suppose 0 = -3*v + d + 31. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/4 + 10*r**3\/3 - 7*r**2\/2 + 2*r - 3. Does 10 divide u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -10*x - 57. Let l be j(-6). Put -11, l, -5, -2 in ascending order.\nAnswer: -11, -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = r + 23, -15 = 4*r + r. Suppose -7*z + 12 = -d*z. Solve 5*s + z*f - 5 = f, 2*f = -5*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.922 + 0.75. Let n = -0.17200046 - r. What is n rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = z - 5*z, -m = -4*z + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c - 95. Let h be i(-7). Let z(d) = -8*d - 4*d**2 - 31 + 3*d**3 - h + 57. Let p(n) = 4*n**3 - 5*n**2 - 9*n + 2. Give 4*p(b) - 5*z(b).\nAnswer: b**3 + 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*8\/(-24))\/((-64)\/(-1536))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221102 - 22012011?\nAnswer: -111010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26479 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 20100 = 0. What is x rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 14*h**5\/5 - 394*h**4\/5 + 2786*h**3\/5 + 2*h**2\/5 - 560*h + 392\/5 = 0?\nAnswer: -1, 1\/7, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23088576523 and -373?\nAnswer: 23088576150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/11)\/q)**(-13\/3) assuming q is positive.\nAnswer: q**(91\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u - 2. Let y be z(3). Let v be 2\/y*(-5 - -5). What is the first derivative of v - 3 + 0 - 2*h wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1340\nAnswer: -5360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 1479*u + 5898. Give x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3193\/1073 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - 3*o)*(0 + 2*o + 6 - 4)*(15*o**2 + 11*o**2 + o**2)*(3*o + 25*o + 4*o).\nAnswer: -1728*o**5 - 1728*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d - 2*d - 5*d + 2*d + 2*d + (0 - 6 + 4)*(-d - 4 + 4) - 4 + d + 4 + (41 + 8*d - 41)*(-4 + 4 + 3))*(-3*d**3 + d**3 + d**3).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 6*h - 19*h)*(-5*h - 14*h + 4*h) + 2*h**2 - h + h in the form f*h**2 + y*h + n and give f.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1096, 3.9, -2\/9, 1.3, -0.119 in increasing order.\nAnswer: -1096, -2\/9, -0.119, 1.3, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-636)\/90 + 7). Solve 2*i - a = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)\/(a\/(a\/(a**2\/a)))*(a\/(a*a**(-1)))**(-29) assuming a is positive.\nAnswer: a**(-148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/17*((-70)\/(-315))\/((-4)\/(-3))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -0.5, 0, -345, 0.33, 5 in descending order.\nAnswer: 5, 0.33, 0.27, 0, -0.5, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let i(w) = -w - 9. Let z be i(-8). Let c(j) = 6*j**4 - 10*j**3 + 2*j**2 + 3*j - 1. Let l(t) = z*c(t) - v(t). Find d, given that l(d) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8231.\nAnswer: 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 + 11000?\nAnswer: 10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.035 and 5.727?\nAnswer: -28.835445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, -438, 2, -183 in decreasing order.\nAnswer: 3, 2, 0, -2, -183, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19.1 times 22.5\nAnswer: 429.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001010010100 (base 2) in base 7?\nAnswer: 16603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 93. Let y be (-48)\/q*3\/(-2). Suppose 1 = -x - 3*a, -y*x - 3*x - 3*a = -19. Solve -3*f = -x*p + 15, 0*p = f + p - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**4 - 3*f**2 - f. Let g(r) = -231*r**4 - 2*r**3 - 6*r**2 - 3*r - 274. Let h(y) = -g(y) + 2*p(y). Find the second derivative of h(s) wrt s.\nAnswer: 2796*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -4\/53, 2\/7, 1\/2, 4, -3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20888 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1. Let g(c) = c**2 - 2. Let f(x) = -g(x) + 2*n(x). Let l(s) = -10*s**2. Determine l(f(u)).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, o: 2, y: 2}. What is prob of picking 2 r and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Let h(q) = q**3 - q - 2*q - 3*q**3 - 2*q**2 - 1. Let y be h(-2). Solve x*a = -1 + y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2970 - -3077. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-164 - 41 - 35 - 16)*(94*a**3 + 102 - 102) to the form j*a + g*a**2 + f*a**3 + q and give f.\nAnswer: -24064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 - 3*y**2 - 63 + 123 + 2*y = 0. What is y?\nAnswer: -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 6 + 11 + -21 + -55 + -1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*l + 7*l - 4*x - 36, -3*l - 2*l - 5*x = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, 0.5, 2, 1\/125705?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(45) + sqrt(405) + 0))**2 - ((sqrt(45)\/(sqrt(27)\/sqrt(3)))**2 + sqrt(55)\/(sqrt(11)*-2) - (sqrt(20)\/(-1*sqrt(4)) + 2)**2).\nAnswer: -35996 - 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let f(o) = 4*o**2 + 63*o - 12. Let r be f(-16). Suppose -r*n - n - 2*k - 8 = 0, -3*n - 11 = -5*k. Is q greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1548144 and -19\/33228?\nAnswer: 109918224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16234\/11 + 1476. Put -0.06, -0.2, b in decreasing order.\nAnswer: b, -0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t - 95. Let r(j) = -3*j - 32. Determine -11*r(h) + 4*x(h).\nAnswer: h - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.32 and 2400.\nAnswer: 2400.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let g(c) = -116*c + 5. Let d(m) = g(m) - 6*p(m). Is d(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.202 and -20.1.\nAnswer: 1009.0602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121010211121 (base 3) in base 7?\nAnswer: -10134463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 87.94199 (c) 5 (d) 0.5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fddf when four letters picked without replacement from fddfffffdd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8035*r - 900 = -8053*r. Solve -u - 1 = 4*f, r = -3*f + u + 51 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -60. Let z be (-2 + (2 - a))*(-4 + 3). Suppose 1 = h, -q + 0*q + 4*h + 1 = z. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-27) - (-4810)\/18. Let q be -12*((-1)\/(-2) - (6 - 5)). Suppose 0 = q*t - 27 - v. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34285298 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -173, -159, -143?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) 6\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + s**2 + s + 1. Let k(p) = 39*p**3 + 2*p**2 - p. Determine -g(v) - k(v).\nAnswer: -37*v**3 - 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 17. Solve 1 + 19 = f*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105876743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 55 + -9 + -31.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 248 + 550 = 158. Suppose -3*f - 2*f = -155. Suppose -49 - f = -4*o. Calculate the highest common divisor of c and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -24 (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -4 in decreasing order.\nAnswer: 5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.21476 to 1 decimal place.\nAnswer: 179.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16498 equal to 16490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 360 - 1441\/4. Let p = -22.9 - -23.9. Which is the biggest value? (a) 0.4 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 6*s + 3920. Is 70 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 241*o**2. Let s(f) = -34*f. Determine s(v(l)).\nAnswer: -8194*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1256, -10086, -34050, -80714, -157644, -272406?\n\"Answer: -1261*r**3 - r**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -16\/21*c**3 + 31\/42*c**4 + 2 - 1\/5*c**5 + 12*c - 1\/105*c**6 + 0*c**2. Solve t(h) = 0 for h.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -14590471.\nAnswer: -8754282.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2280)\/16*1\/5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*z + 1 = -225*z. Which is the nearest to z? (a) -3\/7 (b) -26 (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 2\/5 (c) -38 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 4*x**2 - 403*x**3 + 405*x**3 + 4*x**2 - 40 to the form w*x + v + k*x**2 + c*x**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*b - 4 = -0*b, 12 = -3*b. Let j = 5 + p. Solve -4*x - 2*o = j, -5*o - 1 = -3*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**16)**(-3)*(h\/(h\/((h\/(h\/(h**(1\/2)\/h)*h))\/h)))\/((h*h\/h**(-5\/7))\/h))**6 assuming h is positive.\nAnswer: h**(1713\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25965 is divided by 377?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/138 and 38\/15341.\nAnswer: 92046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1651728 and 52?\nAnswer: 1651728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 30*x**2. Let m(b) = -b**2 - 10. Give m(j(n)).\nAnswer: -900*n**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1123?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bujjpjyupuupjjbu. Give prob of sequence yub.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.8. Let q = -21487 + 21487.4. Let g = -9 + 40. Which is the third biggest value? (a) w (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 12 = q + 2*f, -2*f = -4*q - 2. Suppose 0 = -q*w + s + 6, -4*w + 14 = -w + s. Suppose t - w = 2*t - 3*b, t + b - 12 = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1021039, -2042061, -3063083?\nAnswer: -4084105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -f + 1536 - 1512, 3*y - 64 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1100) - (-1 + sqrt(1100) + 0)) + sqrt(1100) + (-4 + sqrt(1100)*1)**2*-5.\nAnswer: -5582 + 410*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(1\/3)))\/p*p**(-1\/6))\/(p**(-6)*p\/(p*p\/(p*p**(-2\/3)))) assuming p is positive.\nAnswer: p**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Suppose -6 = -k*h - y, 3*y = -0*y. Solve b + 4*b - 8 = q, -4*b - h = 2*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.372 - -0.3721071. Round b to six decimal places.\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2913 times 0.2\nAnswer: 582.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -83.726 (b) 2.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -320349, -1281410, -2883191, -5125692?\n\"Answer: -320360*v**2 + 19*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 32 = 3*x - 164, -5*u + 200 = 3*x. Calculate the remainder when x is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 17 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-13 - -17) + -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Let d = -440 - -442. Solve 4 = z*c - 3*p + 1, -5*p - 11 = -d*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 23350?\nAnswer: 53\/23350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8403105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -3*x, x = 50*q - 49*q. Let p(i) = -4*i**2 - 10*i - 9. Let u be p(q). Suppose 0 = w + w - 4. What is the fourth smallest value in u, -2\/9, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 3*v**2 + 19*v - 4. Calculate o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c = -355*c - 1600 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10747, -5, 42 in descending order.\nAnswer: 42, -5, -10747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 375, -4, 2\/11?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0 + 5 = 0. Let k be 0\/(2 - (n + -1)). Suppose -h + 3*h = k. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:22 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 76 = -4*d, 4*o - 4*d = d - 85. Let a be 10896\/1 - o\/5. Round a to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**3\/6 + d. Let q(u) = -u + u - 2*u. Give n(q(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.41 + 19.59. Let h = -19.1134 - 0.4866. Let p = h + g. Which is the closest to 2? (a) p (b) 4 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - (-4)\/(20\/695)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.86 - 0.748. Let m = -0.11199851 + t. Round m to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123387936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 534871751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 21303?\nAnswer: 21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 81. Determine h(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.54 - -78. Round k to the nearest integer.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*o**2 - o**4 + 2 + 21*o**3 + o + 70*o**2 + 9*o**3 - 127*o**2 to the form s*o + g + q*o**2 + w*o**4 + h*o**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(1 - -3) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -2 (b) -304 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149572 = -2560*l + 108*l for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + -1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 151 - 111 = 0. Suppose -4*x + 22 = -n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -47, -221, -569, -1151?\nAnswer: -2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1760\/9*a - 58\/9*a**3 - 56*a**2 - 2\/9*a**4 - 2176\/9.\nAnswer: -2*(a + 4)**3*(a + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(4*p**3 - 5*p**3 - p**3) - 3*p**3 + 0*p**3 + 5*p**3 - 2294 + 2294 + 55*p**3.\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0105 - -0.4275. Let q = 0.4 - 0. Let i = d - q. What is i rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 6. What is f in -3\/4*f**5 + 3\/2*f**4 - 3\/2*f**p + 0*f**3 + 3\/4*f + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5\/41 (b) 0.25 (c) -1 (d) -0.5 (e) 1.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 13 + 12)*(2*d**3 + 2*d**3 - 5*d**3)*(0 + 0 + 2*d + 2 + 2*d - 2 - 2*d + d + 2*d + (2 + 2*d - 2)*(-2 - 3 + 3)).\nAnswer: -44*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -107, -8, 0.3, -5, -0.06?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69500228.98 rounded to the nearest one hundred thousand?\nAnswer: 69500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - h**2 + 1 - 3*h - 7*h**3 + 7*h**3 + 0 in the form x*h + l*h**3 + y + m*h**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = o. What is o rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/114149 and -17\/253.\nAnswer: 1255639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 198\/(-4))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*f - 22. Suppose -5*a - 6 = -61. Suppose 2*v + 3*w + 6 = 0, -3 = 4*v + w - a. Solve 3*g = v*z, -f*g - 4*z = -9*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 112?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 24. Suppose 0 = -5*a + j + 96, 6*a - 5*j = 4*a + n. Calculate the lowest common multiple of a and 8\/(-14)*(18 + -46).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 - 192. Let a be (-25)\/(-150) - 47\/y. Let n(z) = z**2 - 3*z - 11. Calculate n(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 334962103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4 + 4)*(-t**2 + 0*t**2 + 2*t**2) + 0*t**3 - t**3 + 0*t**3 + 3*t**3 + 0*t + 0*t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**2 - 21*l - 24. Let p(x) = -5*x**2 - 7*x - 8. Let t(s) = -4*j(s) + 11*p(s). Let a be t(-7). Solve 3*m - 3*c + 14 = -13, 0 = 2*c - a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2\/2 - 3*x + 1. Let u be i(5). Suppose -v = -3*g + 19, u*g - 6*v - 4 = -v. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8834 - -8882. Is j equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/6 - -2)*24\/72?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66190 or -595721\/9?\nAnswer: -66190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3267816, 6535644, 9803496, 13071384, 16339320?\n\"Answer: 2*j**3 + 3267814*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-450) + (-4114)\/825?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741 = -4*f + 791. What is the remainder when f is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 69 - (76 + 121).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3219 take away -13445.82922?\nAnswer: 13450.15112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82, -275, -596, -1045?\n\"Answer: -64*p**2 - p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = l. Let n = 1210 - 1211. Let w = -35 + 26. Put w, l, n in descending order.\nAnswer: l, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 3, 2, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 + 428\/28 + -1. Let q(r) = -2*r**3 + 3*r + 1. Let w(f) = 5*f**3 - 7*f - 2. What is c*q(v) + 6*w(v)?\nAnswer: 2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:53 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 6:25 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -230519 - -40?\nAnswer: -2304d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3617*n - 2984 = 3244*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(0 + sqrt(147)))**2 + (sqrt(243)*-2)**2 + 4)*6.\nAnswer: 6738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 672, 1062, 1202, 1092, 732, 122, -738?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2*s**2 + 5*s**2)*(42 - 20 - s - 23 - 2*s + 3*s + 0*s + 2*s + 0*s + 0*s + (0*s + 0*s + 2*s)*(-4 + 2 + 4) - 1 + 1 - 2*s - 2*s + s + 2*s).\nAnswer: 5*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*5*(((sqrt(468) - (1 + sqrt(468)) - sqrt(468)) + sqrt(468) + 5 - (1 + (sqrt(468) - (sqrt(468) + 2*sqrt(468))))) + -3 + 1*sqrt(468)*-5))**2*-1.\nAnswer: -1684799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 30. What is the second derivative of -288*n**3 + 26*n**4 - n**b + 288*n**3 + 13*n wrt n?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - (15 + -4 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/2 + (-222)\/(-148). Let w(u) = -19*u - 2. Let d(g) = -1. Calculate a*d(i) + w(i).\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6741673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4231.\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37171, -75468, -113765, -152062?\n\"Answer: -38297*y + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 122 = 47. Are 32 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478600.3 weeks in minutes?\nAnswer: 4824291024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 13*c + 16. Suppose 3*b + 22 - c = 0. Sort -4, b, 2 in descending order.\nAnswer: 2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 141*r - 146*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -152. What is the greatest common divisor of l and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 11:17 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -6. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -35*f. Let w(v) = -3*v + 383. Determine q(w(y)).\nAnswer: 105*y - 13405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27188 - 7255?\nAnswer: 18833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12)\/x)\/(x\/(x**18*x)) assuming x is positive.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10438556 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: Let l be 18\/81*-3 - 44\/(-14). Let n = l + -15\/7. Suppose n - 1\/6*u - 1\/6*u**2 = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, d: 4, m: 3}. Give prob of sequence zzd.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55327.7023 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 + 5*b + 3. Suppose 5*w = -l + 34, 2*w = -2*l - 2*l + 118. What is the remainder when l is divided by o(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23505 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/2*(-8)\/10. Let p(a) = 6*a - 8. Calculate the remainder when p(x) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 6*i**2 - 7*i + 1. Let t be j(-7). Let y = 288\/5 - 57. Is t at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001520595 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:15 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 221+-0.00619\nAnswer: 220.99381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, 0, 6\/7, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, 0.4, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -129*u - 900. What is c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijzz when four letters picked without replacement from {z: 4, j: 2, i: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 90639.22 to the nearest one hundred.\nAnswer: 90600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - (-21097)\/(-357)) + 4\/6 - -17?\nAnswer: 88\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from snnnbnnnbnnnnbnsn?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 21*c**2 - 2*c - 1. Let o be i(-1). Suppose 3*w + 9 = -2*d + o, -4 = d - 2*w. Solve 2*z = 5*q - z - 3, d*z - 2 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let l(z) = 5*z + 12. Let w(f) = -l(f) - 3*t(f). What is the lowest common multiple of 8 and w(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 16 - 5*l + 5*l - 2*l**2. Let f(g) = 119815 + 3*g**2 - 2*g**2 + 119807 - 359434 + 119812. What is f(t(x))?\nAnswer: 4*x**4 - 64*x**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392720 and 441810.\nAnswer: 3534480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647129 divided by 1?\nAnswer: -1647129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 3 - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taqa when four letters picked without replacement from taqaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 20*v**2 + 2*v - 18. Let a be d(10). Suppose 2*h - 68 + 24 = 2*m, -h + 37 = 4*m. Solve -a*n = 3*n + h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**3 + p - 3. Let z be s(2). Suppose 2*d - z = 19. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, -4, 4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -32*n - 10. Calculate o(6).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from {e: 3, w: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 41*g = -351. Calculate the remainder when 960 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14179, -27121, -40063, -53005?\nAnswer: -65947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-652)\/(-1467))\/((20\/9)\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*w*x**2 - 49464*t**2*x**2 - 2*t*w*x - 14*t*x**2 - 791*w*x**2 wrt t?\nAnswer: 2*w*x**2 - 98928*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00087687236 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, f: 2, n: 1, s: 2}. Give prob of picking 1 b and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 675479 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3*t**2 - 2*t**2)*(-11 + 13 + 14)*(2*t - 4*t - t).\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94*p**2 - 26*p*q + 32*p - 174261*q wrt p.\nAnswer: -188*p - 26*q + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.31 - -1.31. Is a less than or equal to 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/12 + 243\/(-12). Let u be m\/(-15) + (-4)\/(-6). Suppose 4*j = -4*l + 36, u*l + 3*l - 4*j - 27 = 0. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (16\/(-28))\/(8\/28). Sort -5, m, 0 in increasing order.\nAnswer: -5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186087, -186036, -185981, -185916, -185835, -185732?\nAnswer: -185601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/3 + -3*5\/(-21). Put i, 0.4, -0.08 in descending order.\nAnswer: 0.4, -0.08, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1952 and 183.\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 3*u**2 + u + 9. Let f be l(-3). Solve g + f = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*b + 19 - 14 = 0, -17 = -4*g - 5*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/51 and -41\/1008.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -50 + (-22 - (18 + -28))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802650 is divided by 267549.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165265207.\nAnswer: 47, 3516281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6. Let h = -0.0225 - 0.0775. What is the nearest to j in 1\/7, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 33*g + 200. Is i(25) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 11:37 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -305917.3 and -33?\nAnswer: 10095270.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -218 - -296 - (-8 + (-20)\/(-4))\/1?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3, -5, 4.\nAnswer: -5, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750150 and 2178.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**4 - q - 1. Let o(g) = -6*g**4 + 8*g**2 + 5*g - 17. Let z(v) = 5*b(v) + o(v). Differentiate z(w) with respect to w.\nAnswer: -4*w**3 + 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 1205*z**2\/2 + 1172*z + 771. What is the derivative of l(k) wrt k?\nAnswer: 1205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 4*n**3 + n**3 + 7 + 111*n - 96*n - 18*n**2. Let x(l) = -l**3 - l - 3. Let k(d) = s(d) + 5*x(d). What is the second derivative of k(f) wrt f?\nAnswer: 12*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, x: 4, z: 1, f: 2, y: 3, k: 3}. Give prob of sequence kk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894564.8 months in millennia?\nAnswer: 157.8804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-2))\/(30\/(-36)). Suppose -x - q + 34 = 0. Suppose 0 = 3*p - x + 10. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 13897?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 8*j + 45. Let a be h(-11). Suppose 21*l = 93 + a. What is the highest common factor of l and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/7*11942\/(-22178).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let x(i) be the first derivative of -10*i**3\/3 + 3*i**2 + 6*i - 2. Let p(r) = r**2 - r - 1. Let s(l) = 6*p(l) + x(l). Calculate j(s(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 + x**2)*(-9 + x + 4 + 1)*(-4 + 1 + 1).\nAnswer: -2*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-1) - 71 - 2. Let p(f) = -364*f**2. Let t be p(-1). Let b = h - t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -20. Let z(x) = -x**2 + 7*x - 8. Let f be z(p). Solve -4*l = -5*m, -l + f*m = -2*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 1\/6*z**4 - 2\/15*z**6 + 1\/42*z**7 + z**2 + 0 - z + 1\/5*z**5 - 5\/6*z**3. Determine l so that g(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k + 6. Let h(a) = -11*a + 6. Let t(u) = -6*f(u) + 5*h(u). Let y(x) = 6*x - 5. Let c = -230870 + 230875. Give c*t(l) - 6*y(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61935, 59601, 57267?\nAnswer: 54933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 14*s**2 - 14*s**3 - 14*s**2.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from slqsllkkssl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06843 rounded to 3 dps?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 11*a**3 - 3*a**3 - 14*a.\nAnswer: 8*a**3 - 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*70\/(-840)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3485 divided by -5\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1187 times 0.41\nAnswer: 486.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from tntnnnnntntttntnnntt?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 32. Sort -2, 5, a.\nAnswer: -2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1325, -1204, -877, -242, 803, 2360, 4531?\nAnswer: 7418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 26*u**2 + 22*u + 48. Let f = 388 + -412. List the prime factors of x(f).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -602 + 592. Let s be ((-6)\/u)\/((-54)\/(-360)). Let l = -3.8 + -1.2. What is the closest to s in l, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33320 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 30. What is the remainder when 33 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1079457400*v**2*z**2 - 13508*v*z**2 + v*z + 638 wrt v.\nAnswer: -2158914800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17461 is divided by 236.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 447837508 a multiple of 14955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t + 49. Give y(-13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-24)*4\/60*4.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 5 (b) 2\/17 (c) 298 (d) 33 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 4*j - 5*j + 9*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 2\/131, -0.225?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1724 - 1903?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 - 3*p. Let m be j(3). Suppose m = -2*s, -4 = -0*i - 2*i + s. Solve 14 = 4*a - i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-21) + (-14)\/(-49). Let t(x) = x + 2. Let h be t(0). Is u at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1\/104 (c) 899\/3 (d) -2 (e) 0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.272645 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -17. Let a = o - 15. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/170, -1\/6, -0.3, 0.3, 6, -0.17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 34. Let y = 25 - 25. What is the remainder when m(y) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 904*z**2 - 902*z**2 - z**3 + 12*z**4 + 14*z**4 as k*z**4 + o + h*z**2 + g*z**3 + s*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182259507 a multiple of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 16. Let u(i) = i + 4. Let k(s) = -o(s) - 2*u(s). Let v be 44\/(-6) + 2\/(-3). Give k(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 2. Suppose 6 = -4*k + 6*k. Suppose k*m = 2 - 26. Is y(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i**2 + 12*i - 38. Let l(d) = 2*d**2 + 2*d. Let p(g) = 6*l(g) - z(g). Let q(k) = 4*k. What is p(q(w))?\nAnswer: 16*w**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + y - y)*(3 - 5 + 1) + (4 - 2 + 1)*(-2*y + y - y)*(1 + 0 - 3) to the form u + f*y and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7720 and 368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/1 - (1785\/(-14))\/(-17).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 3*d**2 + d**2 + 0*d + 7*d**2 - 2*d - 6*d**2 - 9*d**3 as n*d**3 + t*d + f + g*d**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/16 - 270\/(-144). Let l(m) = m**2. Let u(y) = -3*y**2 + 5*y. Determine r*l(o) + u(o).\nAnswer: -o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 110*g - 22. Let p be s(1). Find the first derivative of 2*y + 5560 - 5607 + p*y + y**2 wrt y.\nAnswer: 2*y + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43000.1 plus 1227069.6?\nAnswer: 1184069.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*n + 16*n - 284*n - 36*n)*(n + 3 - 3).\nAnswer: -179*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j + 39\/20*j**6 + 1\/6*j**3 + 0 - 4*j**2 + 1\/60*j**5 - 1\/24*j**4. Is h(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064720464.\nAnswer: 2, 66545029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 2. Suppose -4*z + 7 = -c - 5, -5*c = 4*z - s. What is the second derivative of -6*d - 8*d**z + 0*d - 3*d + d wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Let c(w) = w - 3. Let s be c(t). Let g(u) = 5*u**2 - 2 - 3*u - s - 6*u**2. What is g(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 39. Let u = -14 - -13. Let y be ((-34)\/(-51))\/(2*u). Which is the smallest value? (a) y (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 209\/5?\nAnswer: 209\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 50362554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 7*c**2 - 8*c + 3. Suppose 0 = -0*t - 4*t + 2*d + 26, t + 7 = 5*d. Let l be v(t). Solve m = l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - -1. Let v(o) = o**3 - 2*o**2 - 24*o + 24. Let b be v(6). Solve 0 = -g - b + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/5045 and -12\/95935?\nAnswer: 96798415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.73 to 0 dps.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 267*h. Let r(y) = y**2 - 3*y + 9. Suppose 5*g + 5*j = 40, 7*g = 6*g - 5*j + 28. Let m(t) = -t + 3. Let b(n) = g*m(n) - r(n). Determine b(x(d)).\nAnswer: -71289*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 418.53019 - -0.06981. What is w rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -1\/120*b**5 - 1\/36*b**4 + 0*b**2 + 0*b**3 + 0 + 1\/180*b**6 - b. Factor f(m).\nAnswer: m**2*(m - 2)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*42\/(-216)*-6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x - 5. Let c be v(5). Let s = 217 + -195. Let r = s - c. What is the remainder when 49 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) -5 (b) 1 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.72 - -215.82. Let w = -208.095934 + s. What is w rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29974819 and 644.\nAnswer: 119899276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 - 2*s - 2. Let w be r(2). Let x be 2*w\/(8\/10). Suppose 3*d = -2*d - x*i + 75, 0 = -2*d + i + 36. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -22.6. Let l = 16.8 - 14.225. Let h = q - l. What is h rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1308.23 + 1358. Let h = 199 + -249. Let q = o + h. Round q to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 - 5 + 1 - 7*y**3 - 8*y**3 - 9*y**3 to r*y**3 + b*y**4 + f*y**2 + c + l*y and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 224040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154.437 + -163.46. Let k = -2 - -11. Let a = u + k. Round a to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(17)*1 - sqrt(17))*2 + sqrt(17))**2 + (-1 + sqrt(34)\/sqrt(2) - (-2 + sqrt(68)\/sqrt(4)))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4822 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50780 - -75523. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13115)\/(-188856)*(-36)\/75?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1144?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93.3331 + 0.0331. Let p = -97.41 - r. Round p to 1 decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1023, 3885, 8655, 15333?\n\"Answer: 954*b**2 + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 32000*a - 159900.\nAnswer: -4*(a + 5)*(a + 7995)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-195))\/((-10)\/(-15)*(-3)\/5). What is the fourth biggest value in p, 0.2, -79, 4\/5?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/79880 and 119\/219670.\nAnswer: 878680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 24*s**2 - 5*s + 4. Let k = 871 - 880. Let c(x) = -52*x**2 + 11*x - 9. Let l(t) = k*f(t) - 4*c(t). Determine l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from hulllllluuuuluulu?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 120 = 8*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14241.\nAnswer: 3, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 3267\/84665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927*j - 686*j = 4097 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y - 36 = 0. Suppose -3*s - y = -33. Differentiate 6 - 4 + 1 + 11*t - s wrt t.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8970, -18160, -27350, -36540?\n\"Answer: -9190*i + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5526440 and 6440?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72 + 16 - 55)\/(4\/((-4)\/(-3)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10)*8\/3)\/(((-75)\/9)\/(-5))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 - -144. Let g = 503\/8 - 63. Let i = g - -5\/8. Which is the nearest to 0.3? (a) i (b) -4\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36511 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -30. Let u = 8 + g. What is the third smallest value in 3, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, f: 1, o: 1, k: 1}. What is prob of picking 1 x, 1 f, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -376203.4 - 155.\nAnswer: -376358.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 640\/11*m + 64\/11*m**3 - 416\/11 - 336\/11*m**2 - 2\/11*m**4.\nAnswer: -2*(m - 26)*(m - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5727452?\nAnswer: 2, 37, 38699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 59. Let h be 4*(-3)\/(-12)*t. Which is smaller: h or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723026 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639473443?\nAnswer: 7, 19, 4808071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-57)\/(-12) - (-18)\/(-24). Solve r*o + 1 = -15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.25 minus -0.0902207?\nAnswer: 41.3402207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57596)\/6608 + 11 - (-5)\/(40\/(-18))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.527373171 rounded to three dps?\nAnswer: 0.527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + -24 - -11 - -15) + -100.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001198669 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.025? (a) 1\/1061 (b) 2 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1131*a - 9824. List the prime factors of u(-19).\nAnswer: 5, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - (-69)\/(-12))*20. Let x be 2*(-21)\/(-6) + -2. Suppose -b*c - 5*p = -50, x*c - 4*c + 2*p = 14. What is the least common multiple of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 8 = -16*w. Let l(i) = i + w*i + 0*i. Let q(z) = -4*z**2. Give l(q(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:06 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(72) + -5)**2 + -2 - (-3 + (sqrt(18)*1)\/sqrt(9) + sqrt(2) + 2*(sqrt(2) + -1) + 0)**2.\nAnswer: -8*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let i(v) = 4643*v**2 - 16*v + 42. Let r(l) = -928*l**2 + 3*l - 8. Let k(o) = 4*i(o) + 21*r(o). Calculate k(x(g)).\nAnswer: -3664*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -162067134, -4, 2 in decreasing order.\nAnswer: 2, -3, -4, -162067134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 2103529. Let s(a) = 5*a. Give s(l(o)).\nAnswer: 5*o - 10517645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (37 + -77 + 28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -9\/2. What is the common denominator of 41\/8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/1911*7)\/((-9)\/3)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:38 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by -215953.\nAnswer: 97\/215953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (-5 - (-3 - -2)). Which is smaller: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -f + c, -4*f - 5*c = -30. Suppose -2*r + 7 = f*v + 1, -6 = -3*v - 2*r. Solve v = -z - z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -10\/7, -2, -0.08?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.176255 + -2.2724847. Let a = -0.0964 - n. Round a to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syyodydyyoooddxd. Give prob of picking 1 s and 3 d.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3\/6 + s**2 + 4*s. Let n be p(2). Let r = n - -2. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 421 = 2*t - 22, -217 = -t - 4*i. Does 42 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by -17\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2736*w + 63829. Determine t(23).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -613*u - 4. Let m(y) = 619*y + 4. Give 8*g(l) + 7*m(l).\nAnswer: -571*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 8*d**2 - 8*d + 3. Let i(m) = -44*m + 50. Let o be i(1). What is the remainder when 130 is divided by l(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12803)\/3472 - (-1)\/2 and -28\/1119.\nAnswer: 17904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470007247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*w + 569*w = 1765*w + 110700 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-8)*p*p**8*p*p**(2\/5)*p*p**(1\/6)\/p*p**(-1\/14)*p*p**1*(p\/((p*p**(5\/4)*p)\/p*p*p))\/p**(-3) assuming p is positive.\nAnswer: p**(2203\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 35*g**2 - 2. Let k(o) = 49 + 120*o - 120*o - 840*o**2. Let h(v) = -2*k(v) - 49*m(v). Let a(x) = -3*x. Give h(a(z)).\nAnswer: -315*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7aa9 (base 11) in base 13?\nAnswer: 4acc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77883172?\nAnswer: 2, 19470793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80118334 and 623?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*q - 4035608 = 0, 3*v + 20*q = 16*q - 3026684. Round v to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63138 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2955332.\nAnswer: 2, 29, 73, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/120 + p**5\/10 - p**4\/24 - p**3\/3 + 76*p**2 + p + 13. Let g be 7 - (-2)\/(4\/(-2)). What is k(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 1, y: 3, p: 1, u: 1}. Give prob of picking 1 p, 1 h, and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0204 and -1.3251.\nAnswer: -0.02703204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -7*z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 8983210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**3 - 23*c**2 - 2104*c - 57. What is the thousands digit of p(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171538, 171536, 171534?\nAnswer: 171532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 986\/7 and 140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*n - 19, 5*q - 12 = 2*n + 4. Let z be (28\/(-10))\/(q\/(-5)). Is z < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95\/2 + -143\/3. Let g = -29\/100 - -1\/25. Which is the third smallest value? (a) q (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2.4, 5\/6, 1\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*a - 88407 = 0, 2*h - 16*a = -12*a + 58934. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus 330333?\nAnswer: 330332.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -5, 116, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 0.6383\nAnswer: -0.102128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4882250 and 67024?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 147*z**2 + 435*z + 1222. What is the tens digit of m(145)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, r: 3}. Give prob of picking 2 x and 1 r.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*g + 1. Let t(c) = 112*c**3 + 2*c**2 + 92*c**3 + 5 - 203*c**3. What is the units digit of t(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834587327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 112*o**2 - 325*o - 378. Determine l(-53).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 11973.\nAnswer: 4\/11973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(0 + sqrt(700)) + (4 + -1*sqrt(700) - sqrt(700) - sqrt(700)))**2.\nAnswer: -720*sqrt(7) + 56711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 247189300 to the power of 1\/2, to the nearest integer?\nAnswer: 15722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 8*y + 16. Let b be w(-9). Let i(p) = -1 - 4 + b*p - 8*p. What is i(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -9\/4 (c) -3476 (d) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 4 - (-8)\/(-2). Let u be 2\/(0 - i\/6). Let p(v) = -4*v + u*v + 2*v + 4 + 3. Determine p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23418 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2913 is divided by 968.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + 21. Calculate the highest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 3*z**2 - 16*z - 6. Is b(7) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, j: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2660.7 rounded to the nearest 10?\nAnswer: -2660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i. Let s(u) = u + 15. Let d be s(-15). Is i at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 7429, 27289, 66519, 131575, 228913, 364989?\nAnswer: 546259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1167227 (base 8) in base 2?\nAnswer: -1001110111010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.392 - 17.702. Let o = q - -3.85. Let l = o + 0.56. What is l rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*v - 3590 + 3590)*(3 - 3 - v)*(0*v**2 + 2*v**2 + v**2).\nAnswer: 219*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 928375.2 decades?\nAnswer: 9283752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -403 - -407. Solve 24 = 4*n - u*w, -3*n = 3*w - 4*w - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 + 13*n - 6. What is the tens digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(35 - 11344\/320).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + d**2 - 2*d + d + 3. Let y be q(-4). Suppose 2*m - 5*m - 3*n - 6 = 0, -y*n = 4*m + 3. What is the second biggest value in 1, m, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -4, -9, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004419 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/305 (b) 1\/8 (c) -5\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43731 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 9. Let p(c) = c - 14. Let f(q) = -6*q + 99. Let s(n) = -4*f(n) - 27*p(n). Does 6 divide s(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2005403 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*(-9)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/41613 and 167\/6402.\nAnswer: 83226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -1\/6, -15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 84 = 3*o, 4*j = -j - 5. Let d = 7 + -2. Suppose d*a = 5*t + a - 70, -4*t = 2*a - 56. Calculate the remainder when o is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154679628?\nAnswer: 2, 3, 107, 179, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 5*o - 1. Let l(p) = 5*p**2 + 16*p + 5. Let j(u) = -4*u**2 - 16*u - 6. Let x(g) = -4*j(g) - 3*l(g). Let f be x(-15). Calculate s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -53. Let g = 14 - d. Solve 5*c + g*c = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(1 + -3*sqrt(1573))**2 - (4*sqrt(1573)*5*-5)**2).\nAnswer: 264*sqrt(13) + 15673368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -11*o. Suppose o = -2*u + 3*u - 205. List the prime factors of u.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 203?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7903 is divided by 108?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(5\/(-20)). Suppose -c = d*c - 6. Suppose -2*i + 86 = 2*g + 2*g, 104 = c*i - 5*g. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4270, 0, 3, -110?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*p + 3*f**2*y + 27*f**2 - 59*f*p*y - 301*f*p + 678*f wrt p.\nAnswer: 2*f**2 - 59*f*y - 301*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 2, i: 2, j: 2}. What is prob of sequence djd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1962, -1941, -1864, -1695, -1398, -937, -276?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*k + 350 = -510*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2016*v = 2012*v + 32 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525711153 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 160396.9 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) 28.26 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*6\/(-4)*9\/((-405)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/4)\/5 - 386\/8. Let l = 52 + j. Suppose 1551 = l*m - 2*m - 3*f, -2*m - 3*f = -1533. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:12 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*p - 64, -5*p + 5*s = -p - 108. Suppose -p*q = -31*q + 27. Let f(j) = -2*j - 3. What is the remainder when f(-6) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19401 - -32643. Let z = -13469.64 + b. Let c = z + 233. What is c rounded to one decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21295214 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 850*o**3 - 36125*o**2.\nAnswer: -5*o**2*(o - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, k: 1, x: 5, o: 1}. Give prob of picking 1 o and 3 x.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4489*j**5\/3 + 324224055*j**4 + 638775677*j**3 - 57853829*j**2\/3 + 144454*j = 0. Calculate j.\nAnswer: -2, 0, 1\/67, 216681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/1395*9*720\/((-45)\/5)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-498)\/(-14) - 8\/14. Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 20*o**2 - 2327*o - 22567. Determine r(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 5*c - 27. Let q be o(11). Let j = q + -94. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:58 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/65)*d**(-29)\/d assuming d is positive.\nAnswer: d**(-1952\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1716\/(-2145))\/(16\/(-220))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51661, -105595, -159529, -213463?\nAnswer: -267397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 791430560 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 0 + (-27 - -66).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 3*o - 4. Let j be m(4). Let w = j - -60. Suppose 0 = w*z - 4*q - 4, 13 = -3*z - q - 4*q. Is z < 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**2 - 30*h**2 + 20*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.163186 * 0.3.\nAnswer: 0.0489558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.8 - 10.5. Which is the fourth biggest value? (a) p (b) 0.1 (c) 3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, 72, 8, -45 in descending order.\nAnswer: 72, 8, 3, 2, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 560*k**2 + 4*k - 3. Is l(1) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52273900 rounded to the nearest ten thousand?\nAnswer: 52270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (122 - (24 - -8)) + 4 + (5 - 10)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7490720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/171*3\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*p + 3108 = 211*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0344196376 to 4 decimal places.\nAnswer: 1.0344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/40 and 158\/3*48\/(-320).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -9. Let a = 1 - q. Solve -6*y + 16 = -2*y - 5*t, 12 = a*y - 4*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 405525120*l*p**2 - 96466*l*p - 885*p wrt p.\nAnswer: 811050240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 843889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0 + 4 - 275*u**2 + 333*u**2 to l*u + f + q*u**2 and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415 by -83.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4352693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)*a*a*a)\/a*a**(-9)*a)\/(a**(-8)\/((a\/(a\/(a*a**(-9))))\/a)) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 + 100\/36. Let j = o + 8. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0244 - 26.1244. What is i rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32403222 - -4?\nAnswer: 32403231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -28*f + 2204. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**3 + 2*t**3 - 5*t**3 + (-1 - 2 + 5)*(513*t**3 - 401*t**3 - 1346*t**3) in the form p*t**2 + i*t + d + r*t**3 and give r.\nAnswer: -2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8.8979 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 42 = 0. Let i = -9 + l. Find the second derivative of j**i + 4*j**5 - 3*j - 5*j**5 + j**5 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.8. Let z = -15 - -14. Let w = z + 3. Which is the third smallest value? (a) w (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204.4 + 2283.\nAnswer: 2078.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 - 7*c. Let y be r(-5). Let p(w) = w + 5. Let n be p(-3). Suppose 0 = 3*a - y - n. Solve 0 = o - a*j + 19, -o + j - 7 + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2484 by 9.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649504.\nAnswer: 2, 19, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1153 + 2388. Let n = g + -731. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/12 + 66\/8. Suppose -3*y = -6*y + n. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3275 by 25.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbo when three letters picked without replacement from dbbdfdodbdddddddddo.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 take away 1822?\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(88)*-1 - sqrt(88) - (sqrt(88) - (sqrt(88) + -3*2*sqrt(88))))\/(sqrt(128)*-2*-5).\nAnswer: -3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 15*j - 21. Solve -j*g - 2*z = 8, 2*g = -2*g + 4*z - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.9, 0.18?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 507437*u**2 - 1015220*u**2 - u**3 + 507783*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 136, 157, 184, 217, 256, 301?\n\"Answer: 3*a**2 + 12*a + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -29*z - 126. Let u be v(-10). Let x = -92 + u. Calculate the remainder when x is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 + 2.3. Let t = 6.1 + h. Which is the nearest to t? (a) 2\/3 (b) 1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3, 3*h - 5*w - 110 = 55. What is the remainder when 3658 is divided by h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + 5*-5*((sqrt(405) + sqrt(405) + 0 + -3 - (1 + sqrt(405) + -2)) + 5))**2.\nAnswer: 36000*sqrt(5) + 259525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-1 - 3*w + 1)*(-4*w - 3 + 3).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/721355 and -89\/10.\nAnswer: 1442710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*t + 57 - 5*t + 8*t**2 + 7*t - 10 wrt t?\nAnswer: 16*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -14*p - 15. What is the units digit of h(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2 - 2. Let c(r) = 22*r**2 + 1. Is c(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 22*n + 49. Let t be m(-2). Put -41, t, -3, 1 in increasing order.\nAnswer: -41, -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) 6 (c) 4 (d) -4 (e) 30.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most as big as 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v + 77*v + 6612 = -97*v + 26*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yciyrrpb. Give prob of sequence rcb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -2964?\nAnswer: -2967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066 minus -941?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122202010 (base 3) to base 8.\nAnswer: 31210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*x**5 - 264*x**4 + 2*x**3 - 1178*x**2 - 5*x + 13 wrt x?\nAnswer: 1020*x**2 - 6336*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 3 - (-2 - -1). Let z = -1279\/5 - -256. Put -5, m, z, -0.5 in descending order.\nAnswer: m, z, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 - 717a7?\nAnswer: -7181b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 + 77 - -7) + -8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d - 9. Give u(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/77 in -1\/3, 141\/7, -1\/4, 2, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22*w**2 - 7*w + 7. Suppose 0 = -14*f + 9*f - 10. Let h(b) = 7*b**2 + 2*b - 2. What is f*l(s) - 7*h(s)?\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1294 or -1?\nAnswer: -1294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 482 + 118. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 2153245?\nAnswer: 2153226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-222)\/(-336) - 8\/28. Which is the closest to 0.3? (a) j (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/12 - 3 - -1. Let n = 18.4 - 14. Let w = -0.6 - n. What is the closest to o in 2\/11, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3366, 6729, 10092?\n\"Answer: 3363*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1) + 0)\/(180\/(-40) + -12).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from aajr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 23*j - 789. Let s(v) = -v**3 + 32*v**2 + v - 28. Let w be s(j). Solve 0*a = -a - w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751332831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 514 (base 7) to base 12\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)*h)\/h*h**(-2\/7) assuming h is positive.\nAnswer: h**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 d when four letters picked without replacement from {d: 7, g: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26893495 is divided by 542.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrssrsr. Give prob of sequence rrs.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/2 + (-4)\/(-8). Suppose -4*b - p + m + 3 = 0, -5*p + 6 = 3*b. Find the second derivative of 0*d**2 - d**b - d - d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-3 - -7) + (-14 - -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -16*k - 33. Let q = 57 - k. Let p = -45 + 81. Calculate the highest common factor of p and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let j be -3 + (3 - (-1 - 1)). Let f(s) = -6*s**2 + 2*s**j + 3*s**2 - 2*s**2. Determine f(l(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 - 63?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.251474 + 0.251524. Let p = -7 - s. What is p rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 11. Let s be n(7). Differentiate 2 - s - 7*y**4 - 4 with respect to y.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536524 and 67659.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5, -13*i - 48 = 17*n - 9*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arqrrraqrq. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21*14\/63*12. Suppose 53*g = j*g - 51. Solve -50 = 7*r - g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*2 - (0 + sqrt(1700)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*u**3 + 153*u**3 + 161*u**3 - 593*u**3 + 139*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*11*((-455)\/(-55) + -8). Suppose 474 = k + k. Suppose n*l - t - k = 0, -2*l - 4*t = -160 + 2. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suw when three letters picked without replacement from sqseeeweeueqmeemqmue?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84744 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.19 - -27.19. What is the biggest value in 135, 0, b?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 40, -2, -1\/3, 0.07, -1, -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s = 32*s + 599 + 489 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698836 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*n = 2, 3*c - 3*n - 32 + 2 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 47*b**2 - 10*b - 12. Let p = -222 + 228. Let c be i(p). What is the highest common divisor of 45 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 57 = -4*a, a - 11 - 17 = 2*m. Suppose -3*y = -5*f + 62 + a, f = 2*y + 9. Solve 0 = -5*d - 2*v - 2*v - f, -v = 3*d + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 139, 0, -5, 2, 4, -8 in decreasing order.\nAnswer: 139, 4, 2, 0, -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-4 + (-4 - -3))) + -15 - -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from naiaggaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + -5 + 8 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**2*j**4 + 94204*f**2*j**2 - 11383*f*j**4 wrt j?\nAnswer: 192*f**2*j - 273192*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 112470755.83 and 37.6.\nAnswer: 112470793.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 540 = 8700. Let p = q + -570. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 - 7. Let o = -12 + 6. Let t = o + -8. Let i be -12*((-9)\/6 - -1). Let j(b) = 2*b**3 - 3. Give i*g(l) + t*j(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 880 = 1225. Suppose -n = -7*p - 106. Calculate the lowest common multiple of p and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151367967.\nAnswer: 3, 461, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:19 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220323\/2 + 3\/2*o**2 + 813*o = 0 for o.\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.892 or 225?\nAnswer: 5.892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17092*x + 27930*x + 27912*x - 21535*x.\nAnswer: 51399*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 50 = -4*o - 12, 31 = 5*o + 2*z. Let w(b) = -3*b**2 + 3*b + 9. Let i(a) = -2*a**2 + 2*a + 5. What is o*i(f) - 4*w(f)?\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 10, 2633.\nAnswer: 10, 24, 2633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 14, 24, 38, 56, 78?\n\"Answer: 2*f**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - q**2 + 4 + (-3 + 1 + 1)*(-2*q**2 + q**2 + 3*q**2) + 8*q**2 - q**2 - 3*q**2 + 0*q**2 - 6*q**2 - 6*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 1\/4 (c) -4 (d) 0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5)*-2)\/((-68)\/(-102)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.13 - 5.63. Sort -4, 4, -3, k in increasing order.\nAnswer: -4, -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 915*x**2 + 8695*x - 7785.\nAnswer: 5*(x - 173)*(x - 9)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108071 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90108827*u**3 - 126241362*u**2 wrt u.\nAnswer: 540652962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 505199927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*c - 5 + 5 - 650*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/52 and 111\/1991720?\nAnswer: 25892360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 160592841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -22914.53935 to the nearest integer.\nAnswer: -22915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 13*w**2 + 8*w + 62. What is b(14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 4*n**2 - 4*n - 2. Is u(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 18490*d\/7 + 889824\/7.\nAnswer: -(d - 48)*(d + 18538)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0 + 4*n + 0 - 140*n + 137*n. Let z(o) = -7*o**2 - 61*o - 9. Let s(j) = -3*j**2 - 30*j - 4. Let x(i) = 9*s(i) - 4*z(i). Calculate x(y(l)).\nAnswer: l**2 - 26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 100*k**2 - 127*k**2 + 307*k**2 + 52*k**3 - 44*k**4 = 0.\nAnswer: -1, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 41090260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22c3 - 28b5?\nAnswer: -5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 786 and 621414351?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763278?\nAnswer: 2, 3, 23, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7140 and 2432241.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f + 12*f = 13*f - 861570. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*h + 0*h = 0, -4 = 2*h. Sort n, -23, 2, 3 in increasing order.\nAnswer: -23, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvnn when four letters picked without replacement from vavanvnv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54356147 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*y - 46 = -120, 0 = b + 3*y - 36. Let l be (24\/(-14))\/((-14)\/49). Calculate the greatest common factor of l and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12430523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -220 - -150?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-6))\/(-6)*(-4)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 7 - 13)*(66*w - 577*w + 34*w - 2*w**2).\nAnswer: 46*w**2 + 10971*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1437028 + -860064. Suppose -y + 48348 = -44*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9783 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*y + 43999965, -4*y = -2*y + 3*p - 17599984. Suppose -20 = 4*w, -2*i + 6*i = -w + y. Round i to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 2*(sqrt(13) + 4)*3 + -1)**2.\nAnswer: -2376 - 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + (-1 - -7))) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10743 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6038, 6158, 6366, 6668, 7070, 7578?\n\"Answer: z**3 + 38*z**2 - z + 6000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43904346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 + 5. Let m be 8\/(-20) - (-12)\/5. Suppose -5*q + 4*k + 50 = -40, -q + a*k = -m. Solve 5*b = -3*l - 10, -5*b + 4*l = -q - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.1, 41, -2\/5?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1057245 - 17967574\/17. Let j = -329 + g. Do -0.5 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06685 from 2396.193.\nAnswer: 2396.12615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -734*k**2 + 2*k - 2*k + 730*k**2. Let c(f) = f**2. Determine m(c(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69821974, -139643950, -209465926, -279287902?\n\"Answer: -69821976*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w**4 + 453*w**3 - 10*w**2 + 196*w + 187.\nAnswer: 96*w**2 + 2718*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - p**2 - p + 7. Let v be x(2). Let j(z) = 10 - 4 + 9*z + 8 - 3. Let m(u) = -5*u - 6. Give v*m(c) - 4*j(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 204*k**3 + 15*k**2 + 12*k - 137. Is f(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48528 divided by -6\nAnswer: 8088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383700 = 3*a + 2*d - 6*d, -a - 127900 = -5*d. Round a to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 + 94. List the prime factors of g(0).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**42\/(g**(-1\/2)\/((g**10*g*g)\/g)) assuming g is positive.\nAnswer: g**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -8 + 1 + 1 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281.30977 + -0.00977. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -14 + 14 + 13 + 1 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 23 + 23 + 0*d + 2*d + 4*d**3 - d**2 as j + a*d**2 + i*d**3 + t*d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:15 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 2, y: 2, c: 1, l: 1, n: 1}. What is prob of picking 2 a and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23137722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let g(b) = 4*b. Let x(z) = 24*z. Let r(t) = 34*g(t) - 6*x(t). Determine j(r(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129.8 - -129.66. Which is the biggest value? (a) x (b) 0.9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 11:55 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322320 (base 4) in base 15?\nAnswer: -3825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 33*m**2 - 20*m + 17. Let r be s(1). What is the highest common divisor of 2745 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -59, -129, -225, -347, -495?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057536531.\nAnswer: 3, 117504059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*4)\/sqrt(5))**2*-4.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-233646)\/50067*3\/7*20\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 56\/(4 - 12). Sort 12, 2, a, 7 in decreasing order.\nAnswer: 12, 7, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 = 2*x + 6, x - 4 = 5*b. Solve 0 = -x*h + 2*w + 18, -h + 8*w = 4*w - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -130522122 divided by 1011\nAnswer: -129102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053.5 rounded to the nearest 10?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188376 divided by -94.\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*h - 1459 = 0, 2*t - 3*h = 7*t - 2417. Suppose 0 = 6*a - t + 109. What is the remainder when 226 is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-408)\/(-40) + -7)\/((-4)\/(-70)). Suppose 2*u = -3*v + 2*v + 87, -u - 3*v + n = 0. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 3. Let a be g(3). What is the first derivative of a + 1 + 6*d**4 - 10*d**4 wrt d?\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*n + 73*n + 4*u = u - 33, 2*n + u - 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/1 - (3507 - 3559).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 90170*l + 231. Determine z(0).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47787599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 + 0 - (-12565 + 12423)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 + 364224*p**3 + 8291195136*p**2 = 0 for p.\nAnswer: -45528, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = d, -3*m - m = 2*d - 26. Sort 2, m, -3 in decreasing order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -48 - 21) + 17\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 875, 1907, 2935, 3959, 4979, 5995, 7007?\n\"Answer: -2*d**2 + 1038*d - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/24 - u**3\/2 - 3*u**2. Is 6 a factor of n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2. Determine k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -21. Solve 0*o - 12 = -x*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(28\/5)\/(j**0\/j)**46*((j\/(j**(-5\/7)*j))\/(j*j*j**(-8)\/j))**(22\/7) assuming j is positive.\nAnswer: j**(18582\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, q: 3, s: 1, y: 2, b: 7, u: 3}. What is prob of sequence mb?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2)\/(176\/11)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 113130053?\nAnswer: -113130044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13043\/26 - -1003\/2. Is b at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1074627 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 561, 1338, 2465, 3948, 5793, 8006?\nAnswer: 10593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8*(-5)\/(-60))\/((-8)\/(-12)). Put s, -14, 0 in descending order.\nAnswer: s, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = -3. What is the remainder when 6 is divided by -1*(4 - (1 - u))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1137 - 539 - 1445 - 1022*o**2 + 1565 wrt o?\nAnswer: -2044*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 = -2*u + 6, 24 = 5*u - 4*b. 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 the remainder when 383 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/7? (a) -2 (b) -4 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 156 and 1111.57.\nAnswer: 1267.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -4678850.421739\nAnswer: -4678850.321739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -575 + -2?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 535, 770, 1005, 1240?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 684270?\nAnswer: -684268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219442*o**2*p**4 + 2*o**2*p**2 - 2*o**2*p - 30*o**2 + 185*o*p**5 + 32*o + 3*p**2 + 138*p wrt p.\nAnswer: -5266608*o**2*p + 11100*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1407 and 899877.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11215593 divided by 36063\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -579834.091 and -0.69631.\nAnswer: -579834.78731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 32*l + 5. Let n be j(-32). Suppose 5*h + 0*h + n*g - 1060 = 0, 5*g = -3*h + 626. What is the highest common factor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 3. Let n(c) be the first derivative of -c**2\/2 + c - 15. What is a(g) - 2*n(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*o - 13348 = -o. Which is the biggest value? (a) o (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 39*s + 587. Let k be g(-15). Let a(d) be the first derivative of 11 + 0*d - 5\/2*d**4 - 3\/2*d**k + 0*d**3. Find the second derivative of a(r) wrt r.\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1518 by -1.\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248497 and 67080?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 + 2*g**2 + g. Let s = -26 - -26. Let a = 8 + -3. Suppose -j + s*k + 4*k - 13 = 0, -2*j + a*k = 17. What is o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 187?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from qqqbqqqqqqbqq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -7.92. Let h = 0.02 - a. What is the nearest to -1 in h, 5, 5\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9276, 5, 4, -2, 43 in ascending order.\nAnswer: -2, 4, 5, 43, 9276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -98\/11 - 70\/11*u - 2\/11*u**3 + 26\/11*u**2 = 0. What is u?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h + 6. Let z = 0.8 + -0.3. Let j = 3 + -7. What is the closest to 0.1 in h, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 22. Let l be g(6). Solve 6 = 4*n - l*r, 5*n = -2*r + 2 - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, 14, 0, 2.\nAnswer: -21, -5, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3927*d + 55 + 3896*d - 11722*d + 3900*d.\nAnswer: d + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 + 117?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 41*d**2 + 43*d + 64. Let r be u(40). Calculate the highest common divisor of 24 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4006 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70629 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/(23\/(-23)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - m - 10 = 0, -m + 4*m + 6 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-15)*78)\/((-33)\/7975000). Round n to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1616, 1, 2, -116.\nAnswer: -1616, -116, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -243, -1015, -2843, -6165, -11419, -19043, -29475, -43153?\n\"Answer: -73*r**3 - 90*r**2 + 9*r - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2582.4 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9770.229 decades to millennia.\nAnswer: 97.70229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 + 2580640?\nAnswer: 2580706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 11. Let u = -7 - w. Suppose -3*x = -8*x - 20. Sort u, x, 1 in decreasing order.\nAnswer: u, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1882 + -3548?\nAnswer: -5541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.005 + -0.505. Let u = -0.778 - v. Let r = 0.35 + u. What is r rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 1.2989762?\nAnswer: -0.025979524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139377*q**3 + 142754*q**2.\nAnswer: 836262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*q - 0*q, -5*u - 5*q = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950659 greater than 1950658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -2\/7, -0.3, -15, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 + 1. Let l be q(1). Let d(u) = -6 - 2*u + 3*u + 7. What are the prime factors of d(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20984 - -21587. Calculate the highest common divisor of 1675 and p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(56\/15))\/((-10)\/(-35))*-4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144254488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z - 14*z + 3*z**2 - 22*z + 53*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 24665.44 tonnes?\nAnswer: 24665440000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12969*r**3 + 7*r**2 + 21*r - 12. Let p = -322 - -318. Let o be n(p). Round o to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 332 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-35))\/((-28)\/1814372) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0139 + 0.0655. What is h rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 42. List the prime factors of h(13).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 at most 6064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7791*b**3 - 9*b**2 + 5*b. Let i(a) = -7789*a**3 - 11*a**2 + 6*a. Give 5*i(l) - 6*u(l).\nAnswer: 7801*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let y(b) = -b + 2. Let t be y(i). Suppose -4*s = -q - q - 12, -t*q = s - 8. Which is greater: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*l - 344 + 290, 7*l - 401 = 67*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((3 + sqrt(512) + 2 - (-2 + sqrt(512))*-2) + -2))**2.\nAnswer: -96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 2548665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 9*j + 5. Let x be h(-8). Let s(n) = n + 1. Give s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 10:43 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 3:06 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 3. Let u be f(0). Sort 2, u, 20 in descending order.\nAnswer: 20, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*d + 31 = 0, 49 = 3*h + h + 5*d. What is the lowest common multiple of 3*(-6)\/(-9) - -2 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254135*a*h*w + 74*a*h + 2*a*w - 112631*a - w + 167 wrt h?\nAnswer: 254135*a*w + 74*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4 = 0, -37*w = -33*w - 9*w - 2*n - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 8*d + 1. Let k be h(-8). Calculate the lowest common multiple of (-48)\/(-264) + 1\/((-22)\/(-238)) and (k\/2)\/(1\/30).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265904050?\nAnswer: 2, 5, 19, 31, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-2 + 24\/(-14)). Let q be (-79)\/(-3)*(-3)\/140. Let v = q - 1\/28. Which is the second smallest value? (a) 0.2 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 845*c + 6*c**3 - 35*c**3 + 2*c**2 - 8*c**2 - 16*c**3 + 4*c**3 wrt c.\nAnswer: -246*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -11*r**7\/14 + 3*r**4\/4 - 28*r. Find the third derivative of c(i) wrt i.\nAnswer: -1980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791\/259 - ((-10 - -11) + (-2)\/(-1))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 l when three letters picked without replacement from {a: 2, i: 11, l: 3, t: 3}.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 7\/3*g**2 - 11\/6*g**4 - 6*g**3 + 4\/9*g**6 + 0*g + 18\/5*g**5 + 102. Find b, given that s(b) = 0.\nAnswer: -7, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1176 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z - 1. Let s(x) = 59*x + 413. Let n be s(-7). Let u(t) be the second derivative of -1\/2*t**3 - 36*t + n + 0*t**2. Determine -2*a(o) - 5*u(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 + 218. Suppose -6*h = -p*h + 11855. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Suppose 251*l = 246*l. Sort q, 5, l.\nAnswer: q, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*l**3 - 54*l**3 - 54*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 - 76933 + 38457 + f**2 + 38458 as y + b*f + z*f**4 + l*f**2 + d*f**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/80 and 37\/633083.\nAnswer: 50646640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1508 and -0.73.\nAnswer: -1100.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33100144 (base 7) to base 9\nAnswer: 5308341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -783, -1305, -2161, -3351, -4875?\n\"Answer: -167*y**2 - 21*y - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104934463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4879 and 23614811.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99.2 - 99.089. What is o rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 + 7*d**2 + 11*d - 2. Let r be q(-10). Let y = r - 1597. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 14. Let s(z) = -1 - 10*z + 0 + 8*z**2 - 9*z**2. What is the units digit of s(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 4*l**2 + 7*l + 7. Let p be j(-5). Let r(w) = 39*w**2 - 1 + w - 5*w - 6*w - 40*w**2. Does 20 divide r(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Let j be 3\/(0 - -1*1). Suppose r - 7 = j*y, r - i = -4*y + 5. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 1. Let v(l) = l**2 + 6*l - 8. Let z(k) = -2*o(k) - v(k). Let t be ((-4)\/(-6))\/((-2)\/(-18)). What is the units digit of z(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + -0.46. Which is the closest to -2\/5? (a) v (b) 2\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u. Let s(h) be the second derivative of -13*h**3\/6 + 8*h + 10. What is s(g(z))?\nAnswer: -221*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -449167272049.0599884 - -449167115655. Let w = 156394 + y. Let g = w + 0.06. What is g rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2912 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 2*m**2 - 8 + 1 as i*m + b*m**2 + q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 6. Let r be t(-6). Suppose r*c = c. Which is smaller: 2\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + p + (-1 - 2 + 1)*(2*p - 3*p - p) + 2*p - 3*p + 3*p + 2*p - 1 + 1 + p + 0*p + p - 2*p - 2 + 2)*(4 + 14 + 0).\nAnswer: 180*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (3 - 7)) + -44. Let f = o - -24. Is (-4)\/f + (-11908)\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3069 is divided by ((-3)\/24)\/((-6)\/1776).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12330222310000 + -1?\nAnswer: -12330222310001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Let u(k) = 2*k**2 - 17*k + 2. Let w(d) = 13*d + d**2 + 1 - 13*d - 8*d. Let v(m) = -6*u(m) + 13*w(m). What is v(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233726?\nAnswer: 2, 23, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 43. Find the common denominator of -13\/3 and 9\/18 - (1 - k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (246\/(-5))\/(14349\/23915).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-15 + -10)) + (1 + -3 - 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -4\/5, 1713, 3, -0.2, -0.6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*y = 11524 + 21026. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 18, -0.3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 12 = 3*p, 778*p - 23 = -4*i + 783*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/(-18)*(-56)\/(-10). Let b = c + -12. Let n(z) = 3*z**2 + z + 1. Let o be n(b). Solve 3 = 4*s + o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 431 - 355. What is the remainder when w is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**3 - 6*s**2 - 55*s - 216. What is o(-5)?\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3282 is divided by 2924?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*39\/(-663) - (-6 + 87\/15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -863, -1357, -1851, -2345?\nAnswer: -2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 23386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.4. Let i be (-2 + 3 - 2)*9\/((-36)\/8). What is the fourth smallest value in k, -2\/9, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from gngnennegeengggg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*sqrt(252))*-5.\nAnswer: -25 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let r = d - -5. Let f(s) = -s**3 - 3*s**2 + 29*s + 8. Let x be f(-7). Calculate the greatest common factor of x and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzg when four letters picked without replacement from {e: 2, z: 10, g: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 1426?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 232 = 5*c - 0*c, 0 = -c + 3*x + 54. Calculate the highest common divisor of c and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -25. Let v = -17 - -17. Suppose v = -13*n + m*n. Solve n = 4*s + f + 2, -4*f + 5 = 6*s - 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 86 and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = c - 60. Solve 11*r - 6*r = c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -21\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -5934\/9011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(2550\/(-714)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 497673 * -53\nAnswer: -26376669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = w - 86 + 5, -141 = -3*w - 5*j. Solve -11 = -46*l + w*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 11:57 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 441 = -110*b. Suppose -5*a - 2 = -27. Solve -4*m - 4*x - 5 = -x, -b*m - a = 2*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3800 in 5, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + (sqrt(162) + 2 - sqrt(18)\/(sqrt(36)\/sqrt(4)) - 6*sqrt(54)\/sqrt(3))))**2.\nAnswer: 160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1343 - 1343. Solve x + l - 2 = 0, -x - 2*l - l = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17104*r**3 + 17102*r**3 + 17093*r**3 + 17110*r**3 - 68423*r**3.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017617 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**2 + 2*k**4 - k - 4 - 3*k + 4*k**2. Let w(m) = 3*m**4 + m**3 - 11*m**2 - 7*m - 7. Let x(q) = 4*w(q) - 7*z(q). Factor x(o).\nAnswer: -2*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -65*f + 767. Is d(-69) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -657705274163637263197\/3221352 + 204170570047493. Let f = 1\/89482 + m. Calculate the common denominator of f and 101\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -93?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216) - sqrt(24))*-3)\/sqrt(8) - sqrt(33)\/(sqrt(1331)*-1))*-2.\nAnswer: 130*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/6901 - -27601\/20703. Let -j*m**3 + 10\/3*m - 1 + 3*m**2 = 0. What is m?\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 + 8*r - 4. Let j be f(7). Suppose 0 = -2*h - j*i - 11, 10 = -5*h - 4*i. Suppose 0 = 5*w - 0*w. Solve 0 = -w*o + o + h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -293334, -293335, -293352, -293397, -293482, -293619?\n\"Answer: -2*m**3 + 4*m**2 + m - 293337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -662.32 plus -2.3?\nAnswer: -664.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6 - -11) - (-6 - -29)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let m = -3 - 2. Sort m, f, 0 in descending order.\nAnswer: f, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.4, -122?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368204511.\nAnswer: 3, 113, 1086149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)*g*g\/((g**(-1\/8)\/g)\/g)*g*g**(-3\/7)*g**(3\/7)\/g assuming g is positive.\nAnswer: g**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, 0.3, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 230*j - 25. What is the hundreds digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2884505289 + x - 2884505289.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492 and 5.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**(-16\/7)))\/b**(-14) assuming b is positive.\nAnswer: b**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 483. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4\/3 + 155*u**3\/3 + 215*u**2 - 155*u\/3 - 650\/3 = 0. What is u?\nAnswer: -26, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-3)*(-13)\/(-65)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14220 and 0.069.\nAnswer: -981.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -16. Let b(f) be the third derivative of f**5\/30 + 11*f**4\/24 + 5*f**3\/6 - 2*f**2. What is the units digit of b(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:02 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14945301 and 108801.\nAnswer: 164398311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -405 + 410. Solve 25 - 10 = f*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 2. Is f(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.10905218 + 15251.88934782. Let t = 15266 - w. Let a = 14 - t. What is a rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2112401111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (150\/360)\/(5880\/1323)\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.175 and 0.025.\nAnswer: 0.004375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**7\/y*y)\/(y*y\/(y*y\/y**6)))\/(y**(-5)\/y**10) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10117958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 35352.\nAnswer: 176760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 3. Put j, 2, -1\/4 in ascending order.\nAnswer: j, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/62 and 49\/775?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19343.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -27\/4. Suppose -4*h - 2*s - 18 + 10 = 0, -6 = 3*h + 3*s. Put h, o, -4 in decreasing order.\nAnswer: o, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 - n - 3. Let t be r(-5). Let l(f) = 2*f + 12. Let j be l(-5). Let b(m) = 0*m**2 + 0*m**j + 3 + 5*m**t + 4*m - 3*m**2. Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*n = 1224*n + 1530 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 14519 - 43199 = 0. Suppose -2*f = -5*b + r, -21*b - 17890 = 5*f - 16*b. What is f rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014315 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 - z**2 + z + 1. Let o(t) = -t**2 + 5*t - 1. Let j be o(5). Let m be i(j). Suppose -m*v + 5 = -1. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/9, 21\/5, 1\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1039*u + 1034*u = 49*r + 2075*u - 198, 0 = 3*u - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Suppose -10 = -2*f + p*u, -4*f + 5*f - 1 = u. Are f and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(72) + sqrt(72)*1 + sqrt(72)) + 1 - (sqrt(72) + (sqrt(72) + sqrt(72) + 0 + sqrt(72))*-3 + (sqrt(72) + 0)*6)**2) + -2.\nAnswer: -863 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005130877426 to five decimal places.\nAnswer: -0.00513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**4 + 4*q**3 + 18*q**2 + 13*q - 13. Let i(r) = 2*r**3 + 9*r**2 + 6*r - 6. Let j(s) = 13*i(s) - 6*n(s). Find the third derivative of j(t) wrt t.\nAnswer: 144*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - b, 0 = -5*t + 6*b - 2*b. Solve 0 = 5*o + 3*a + 30 + 2, -5*a - 20 = t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.1 + -2.1. Let j = 12.5 - h. What is the second smallest value in 0.6, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*q**3 - 717*q**2 + 29*q**2 - 74*q**3 - 633*q**3 wrt q.\nAnswer: -3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d**2 + 63*d - 18. Let g be b(6). Solve 337*y - 338*y = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpggppggppq. What is prob of picking 1 p and 1 g?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6448, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/(((-288)\/63)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1*(-1)\/(-2). Let t be (4\/2)\/(v\/(-8)). Suppose -5*m - 63 + 9 = -c, 118 = 2*c - 5*m. What is the greatest common factor of t and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -37*(15\/(-171))\/(-5). Let i = -1\/57 + r. Which is the second smallest value? (a) -5\/2 (b) -3 (c) i (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, 200, 1 in descending order.\nAnswer: 200, 7, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (168\/15)\/(-2)*5. Let r = 39 + d. Let o(k) = 2*k + 7*k - r*k. Let q(w) = 6*w**2. Calculate q(o(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + y = 14, -y - 4 = -8. Let b be ((-21)\/(-35))\/((1\/(-1))\/k). Solve 4*p + 16 = -4*t - 0*p, b*p - 8 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3333 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = 3*v - 1, -3*v - 3*n + 3 = 0. Suppose -165 = -v*h - 60. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 10. Solve -5*w - 10 = 5*q, 5*q + 26 = r*w + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((12 - 22) + -2 + 4 + -7)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 28 = 4*v, -4*v + q - 28 = -3*q. Let o(s) = -3*s**2 - 27*s - 35. Let w(n) = n**2 + 9*n + 12. Let f(k) = -6*o(k) - 17*w(k). Give f(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/(-296)*-44)\/1\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17 and -245.5?\nAnswer: 228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-20)*u\/(u\/(u\/u**(10\/11))))\/(u**(-8)*u*u**(-6\/13)))**14 assuming u is positive.\nAnswer: u**(-24920\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36 - (-6342)\/168)*(4 - (-22 + -2)). Let r(z) = z**2 - 3*z - 5. Let h = -18 - -12. Let a be r(h). Is q at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10704 + -10658. Let h(v) = -v + 227. What is the remainder when h(0) is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 4. Let y = r - -54. Is y - (-7 + 2 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from gftjoaft?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 13*h**2 + 2*h - 4. Let o be x(2). Suppose 52 = b - o. Suppose 0 = 5*q - f - 384, -2*q + b = -3*f - 47. What are the prime factors of q?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/8 - z**3\/3 + 8*z**2. Let d be (-1)\/(-2)*0 - -3. Give f(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 48. Solve -k*w = 3 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**2\/4 + 153*h\/4 + 39 = 0.\nAnswer: -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 935038393 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*(-26)\/(-1105)*4*2\/(-36)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 5. Let w = 1319 - 1322. Which is the biggest value? (a) w (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**6\/720 - i**5\/24 - i**4 - 7*i. Let x(f) be the third derivative of r(f). What is x(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let t(f) = -332*f**2 + 316*f**2 - 1 + 1. Give t(i(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 1. Let b be w(3). Is 11 a factor of (b\/3)\/((-10)\/165)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 16. Let x(v) = -v - 8. Let g(f) = -2*w(f) - 5*x(f). Let b be g(-7). Let q = 7 - b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 18*y**2 + 20*y - 11. Let n be v(17). Suppose 0*f = f + 3*b - 2, 2*f - 3*b = n. Find the third derivative of 5 - 7*i**2 - f*i**3 - 5 wrt i.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -1\/20*h**5 + 1\/2*h**2 + 1\/2*h**4 - 1\/6*h**3 + 0 + 6*h. What is q(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose 2*j - d = -1. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 25*v**3 - 26*v**3 + 2*v**2 - 2. Calculate y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*t - 5*x - 22, 0 = 3*t + x + 1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3128\/14755 - -66\/1135. Put 4, s, 2 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4332 + -3453. Is 39 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -1\/84*o**7 + 0*o**2 - 11\/24*o**4 + 2 - 1\/60*o**6 + 9\/40*o**5 - 21*o + 1\/3*o**3. Solve r(c) = 0 for c.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/9)*r**(-3\/5)*r**(2\/51)*r*r**9 assuming r is positive.\nAnswer: r**(7136\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -4, 2, 81, 72 in ascending order.\nAnswer: -4, 1, 2, 8, 72, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2022 and 5.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -78 - -2 - ((1 - (-21 - 2)) + -555 + 537)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/20 - 2\/(-5). Let g = -7 + 17. Let n = -8 + g. Sort -0.1, n, s in decreasing order.\nAnswer: n, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28957 (base 10) to base 3.\nAnswer: 1110201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11193 - -11196. Put 63, o, -56 in decreasing order.\nAnswer: 63, o, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 23*u**6\/120 + u**5\/30 - u**4\/12 + u**3\/6 + 3*u**2. Let b be q(1). Does 6 divide (-666)\/(-21) + (b\/28)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6868928 or 6868931?\nAnswer: 6868928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.986 - 0.014. Let f = -29.2 - -29. Let w = f + 0. Which is the nearest to -0.1? (a) p (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-36)*((-1)\/(-2))\/(15\/(-243))\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 586*h**2 - 8*h**2 + 2*h**2 + 438*h**2 to the form g*h**2 + d + r*h and give g.\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2780 and 515?\nAnswer: -1431700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + -2 + 2*sqrt(931))**2 - (((-1 + sqrt(931))*-1 + 1*sqrt(931)*2)*-1)**2.\nAnswer: 70*sqrt(19) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129864 + 479064. Round l to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 552*m - 2727. What is j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121939\/14 + 121971\/14. Solve 17\/7*n - f*n**3 - 8\/7*n**4 - 1\/7*n**5 + 10\/7 - 2\/7*n**2 = 0 for n.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b8 + -3881a?\nAnswer: -38252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 2*j**2 + 8*j + 1. Let w be t(-4). Let x be (42\/(-49))\/(w\/28 - 0). Let l be (29\/(-2))\/((-4)\/x*-3). Solve 5*m - l + 9 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s - 40. Let h be (s\/6)\/((-9)\/27). Let l = -0.2 - 0.8. Which is the nearest to l? (a) h (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5367271 (base 9) to base 15\nAnswer: 3bd0b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -920*u - 1650. Give q(-2).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.34 + -2.2. Let u = w - 3.94. Let r = u - -4.3. Which is the nearest to 0.1? (a) r (b) 2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -2)\/((-252)\/644) + 2\/(-3). Solve -b + 19 = 12*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 473\/4. What is the fourth smallest value in 4, -4, 0, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -638 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 6*t**3 + t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -f. Differentiate 3 - f*v + 1 + 4*v - 2 wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001111 (base 2) to base 10\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22239 + 3580*m**2 + 11112 + 11127.\nAnswer: 3580*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*k*t**2 + k*t + 49*k - 3*t**2 + t + 343 wrt k.\nAnswer: 67*t**2 + t + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 101. Solve -19 = -2*t - d*o, -4*t = t - 4*o + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -122*t**2. Let m(k) = -24*k. Give m(l(n)).\nAnswer: 2928*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s - 65. Give z(10).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(288) + 4)*-6)**2*1.\nAnswer: 10368*sqrt(2) + 42768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 715*o**2 + 710*o.\nAnswer: 5*o*(o + 1)*(o + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6157*m**2 + m - 6252 + 12307*m**2 - 6152*m**2 to the form l*m**2 + v*m + t and give t.\nAnswer: -6252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -32, 14 in decreasing order.\nAnswer: 14, 3, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose -2*s + 5*s + 38 = f*t, 4 = t + 2*s. Let a(r) = -r**2 + 10*r + 6. Is a(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-652)\/2*(-2 + 1). Suppose 0 = -5*p + z - 31. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116047 a multiple of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637) + 0 + -2 + -2 + -5)**2.\nAnswer: -140*sqrt(13) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (962\/(-6253))\/(210\/(-91)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/((-20)\/(-12)))\/((121095\/(-71550))\/299)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -3259347\nAnswer: 19\/3259347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmmnmxmx. Give prob of sequence nm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 5. What is the lowest common multiple of m and (-6)\/(-4)*140\/15?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14078 + 14091. Let f = 62 - 39. Let t = f + 16. What is the highest common divisor of b and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20901838?\nAnswer: 2, 269, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 16) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m, 3*o - 4*m = o + 320. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-498)\/1328*(-16)\/3. Which is greater: -2\/6765 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 0.5 (b) 0 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 + 198. Suppose -r = -2*r + l. What is the closest to 2\/7 in r, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-4 + (5 - -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*d = 1337 - 1375, 5*j = -5*d - 45. Suppose 0 = -2*i + 162 + 248. What is the highest common factor of i and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 16) in base 9?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 25*b - 11. Suppose -12*c = -17*c + 95. Suppose 2*u = -5 + c. What are the prime factors of m(u)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a year in months?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4618 - 4500. Calculate the smallest common multiple of 767 and j.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14932*q**3 + 4*q + 483?\nAnswer: -89592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/180 and -67\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5533666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-26)\/10 + 1224\/15. Let f = q - 82. Suppose f = 42*r - 49*r + 49441. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 78*a**3 + 648*a**2 - 1458*a - 2187.\nAnswer: 3*(a - 9)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 16*q**2 - 15*q - 32. Let a be j(17). Suppose 3 - 11 = a*t, 0 = -4*c - t + 256. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1879 + 3254. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let d(n) be the second derivative of 22*n**3\/3 - 22*n. What is r(d(c))?\nAnswer: 1936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 - 17. Suppose -5 - 4 = -3*p. Suppose 16 = -5*o - 4*g - 4, -3*g - 15 = -p*o. Give n(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11488572 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 16 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v + 16*v + 61*v + (-v + 7*v - 4*v)*(5 + 2 - 3).\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1\/8. What is the nearest to 0.1 in k, 0.4, 18?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24326.\nAnswer: 2, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*y = -2026, 2*w + 498 - 4550 = 4*y. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/2 + 9126*f**3 - 27381*f**2 + 27382*f - 18255\/2 = 0. What is f?\nAnswer: -18255, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (2 - 12890\/2). Suppose -7*v - 2039 = -t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x + 13 = 2*o, 0 = 5*x + 3*o - 10. Let f be 2*3\/(-48)*-2. What is the closest to x in 0.2, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 76*h + 77. Let i be g(-37). Solve -2*t + i*y = -0 - 2, 0 = t - y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/20 + 5*o**4\/12 + o**3 - 13*o**2 + 161*o. Calculate a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - r + 18. Suppose m - 9*f = -11*f + 66, 360 = 5*m - 5*f. Calculate the remainder when m is divided by l(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48823 - 1041 = -1084*q for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8966.435ng?\nAnswer: 8.966435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4\/12 + 5*s**3\/6 + s**2 - 2*s - 9. Let l(p) be the first derivative of a(p). Let n be l(-4). Is n smaller than -12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414103057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 4. Let w(j) = j**2 + 5*j. Let p be w(-5). Suppose -5*q - 26 + 1 = p. Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-4 - 4 - -14) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36352314 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 108 = 4*h + 3*n, 5*n = h + 105 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 2. Let z(s) = 1. Let j(i) = -r(i) - 2*z(i). Let a(c) = -2*c**2 + c. Calculate j(a(u)).\nAnswer: 4*u**4 - 4*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 - 6 - 5 - 4*o**2 - 11 wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t. Let c(z) = 7*z**2 - 12*z. Let j(k) = 13*k**2 - 26*k. Suppose 0*p = 7*p - 42. Let m(n) = p*j(n) - 13*c(n). Calculate m(o(i)).\nAnswer: -1300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2865762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -221, -326, -437, -554, -677, -806?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 987?\nAnswer: 987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/11 - 130*d**4\/11 + 2828*d**3\/11 - 13280*d**2\/11 = 0.\nAnswer: -83, 0, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 at least as big as -103461288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(3888) + 1 + -1 - (2 + sqrt(3888) + sqrt(27) - (sqrt(243) - (sqrt(243)*2 + sqrt(243) - sqrt(243)))\/sqrt(9))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + i. Let a be n(1). Suppose -a*o = 0, -p = 3*p + 3*o - 28. What is the third derivative of 3*f**2 + f + p*f**6 - f + 2*f**2 wrt f?\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -2. Let r be ((-4)\/2)\/(3 - g). Solve -2*o + r = 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1952 and 11074916?\nAnswer: 88599328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 6, 2, -85 in increasing order.\nAnswer: -85, -2, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/68 + 13\/17. Determine p, given that 1\/4*p**4 + 0 - j*p**3 + 1\/2*p**2 + 0*p = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k - 1. Calculate f(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m - 104*m**2 - 28 - 37*m + 100*m**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:34 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 3*a**2 - 7*a - 3. Let f(i) = -i**2 + i. Let c(l) = 5*f(l) + m(l). Let u be c(-2). Solve 4*g - 7 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14279 + 14278. Sort h, 7.11, -0.4 in decreasing order.\nAnswer: 7.11, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 4*s**4 + 3*s + 2 + 7*s**4 - 2*s in the form o*s**4 + q*s**2 + i*s**3 + n*s + d and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129730 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0*z + 3*m - 3 = 0, 2*z + 10 = -4*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24216 (base 8) to base 7\nAnswer: -42161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2348896 and 17?\nAnswer: -3.9931232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1309? (a) 0.2 (b) -0.2 (c) -5 (d) -0.01 (e) 5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278 - 266. Solve -3 = 5*i + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*j**3*v**3 - 4*j**3*v + 1016*j**2*v + v**3 wrt j.\nAnswer: -210*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - 3) - (-66 - (-78 + 19))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2665 and 455.\nAnswer: 18655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-20)*3\/(3\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 32 = 2*u + 17, 4*u = 4*n + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 4369?\nAnswer: -436e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 18*u + 3. Let t(c) be the third derivative of 9*c**4\/4 + 4*c**3\/3 + 609*c**2. Determine -8*g(j) + 3*t(j).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1908*k - 1948*k + 7*k**2 + 3607*k to l*k + y + z*k**2 and give l.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2.4. Let i = l + 0.1. Let h = 126\/5 - 2404\/95. Sort h, 1, i in increasing order.\nAnswer: h, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2016)*3 - 2*sqrt(2016)*5)\/(-1*4*sqrt(968)*3).\nAnswer: 8*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1346c0a (base 13) to base 11.\nAnswer: -3476660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*(24\/(-140))\/(-2*7\/(-98))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {h: 1, l: 5, y: 14}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -0.04 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27845, -55702, -83559, -111416?\n\"Answer: -27857*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u - 1. Let w = -58 + 68. Let r(x) = 15*x**2 - 25*x + 20. Let m = -2 - -3. Let l(s) = m*r(s) + w*i(s). Factor l(p).\nAnswer: 5*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3919 divide 275874086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15311 + 15332. Is -5\/2 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 - (0 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 10)*(-36)\/(-90). Sort l, 2, 3, 1 in increasing order.\nAnswer: 1, 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-30) + 121\/5. Let h = i - -16. Suppose 2*d - 4*d - 12 = -4*j, 0 = -5*d - 4*j + h. Is 4 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.1 (c) -0.01 (d) -2 (e) 21 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-168))\/(70\/49)*(-1 - 2). Put f, 3, -1\/2, 131 in decreasing order.\nAnswer: 131, 3, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 596, 897, 1196, 1493, 1788, 2081?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12617 - -13045. What is the remainder when a is divided by 144?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-3)*20556\/62810?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/76696 and -69\/153392.\nAnswer: 153392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87611 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -91833.28695 to the nearest 100.\nAnswer: -91800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 8 + 2, 0 = -b + 3*g + 26. What is v in 36*v**2 + 13*v**3 - 4*v**4 + 15*v**3 + 16 - 32*v - 12*v - b*v**3 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 21. Let j be y(9). Let s(z) = 4*z - j*z - 3*z. Let v(f) = 2*f. Determine s(v(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 205*s - 3489. Determine n(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24\/85 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/6 and ((4\/192)\/(-1))\/(2\/86).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14376 + -8272. List the prime factors of z.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3\/3 - 295*t**2\/3 - 2290*t\/3 - 2000\/3.\nAnswer: -5*(t + 1)*(t + 8)*(t + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -22, 1\/10, -790195, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 0*h**2 - 4*h + 17 - 4\/35*h**5 - 4\/21*h**3 - 3\/7*h**4. What is l in m(l) = 0?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 + 6858*a\/5 + 13708\/5.\nAnswer: 2*(a + 2)*(a + 3427)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1203.2 + 1203. Which is the nearest to -1? (a) h (b) -8 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j - j)*(-25*j + 13*j - 29*j + (2*j - 3*j + 0*j)*(0 - 1 + 2)).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 314, 319, 328, 341, 358, 379?\n\"Answer: 2*g**2 - g + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/(-6) + -3)*(16 + -1). Let o = 26 - 11. Suppose -5*x + 3*d - o = 0, 0*x - 5*d + b = -x. Is x not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56619?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 + 1603. Suppose -n + 2*n - v = -4*x, -3*n - 12 = 0. Round x to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.075 - 399.475. What is r rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940086 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(52)\/sqrt(4) - (sqrt(13) + sqrt(26)\/sqrt(2) + 0))**2.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28386 and 445877826?\nAnswer: 9462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - k = -3*v - 45 - 71, -6*k - 96 = v + v for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2889628 by -7.\nAnswer: 412804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 4*q - 7. Let c be n(-3). Let z = -15 + c. Let h = z + 43. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 11*c**2 + 1361*c - 7939. What is k(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {j: 2, h: 2, v: 3, l: 3, z: 1, s: 9}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/(((-8)\/(-1224))\/(10\/540*12)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/60615024 and 79\/32.\nAnswer: 121230048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82339564.\nAnswer: 2, 4261, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*c - 47, -2*w - 6*c - 67 = -3*c. Is -35 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2681259 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-596)\/(-10) - (-10)\/25 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6042886 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-96)\/(1 + 3) - (-45)\/45 and 29\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w*w**(-3)*w)*w*w)\/w*w*w\/w**(-2\/41))**5)**(13\/6) assuming w is positive.\nAnswer: w**(4485\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64.5 + -63.5. Which is bigger: x or 0.326?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195*l**4*z - 4*l**4 - 1274*l**3 - 6623501*l*z wrt l.\nAnswer: 2340*l**2*z - 48*l**2 - 7644*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -448800.5 and -7195.\nAnswer: -455995.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Let y be (2\/m)\/((-3)\/9). Let z be 7 + (-1 - (y + 2)). Solve 0 = -z*w + w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 9874?\nAnswer: -29622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18870)\/3*20\/2. What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5 + 22*w**4 - 351138*w**3 + 1755218*w**2 - 2808080*w + 1403976 = 0.\nAnswer: -427, 1, 2, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 9. Sort 1\/3, 6\/95, o in descending order.\nAnswer: 1\/3, 6\/95, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -6\/13, 5, -3, 170, -0.19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:34 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9*(-1 + -2). Let z be 5*(-2 + 3)*-1. Let o = -6 - z. Put t, 5, o in decreasing order.\nAnswer: 5, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1934\/(-4))\/(57\/(-25422)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - -2. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11253*v**5 - 9559*v**4 + 1471297*v**2 - 97 wrt v?\nAnswer: -675180*v**2 - 229416*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -23) + -19 + 22 - -17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.9933+-16\nAnswer: -7.0067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -14*z**3 - 184*z**2 - 310*z + 216. Give f(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -190*o**2 + 1518*o - 18. Determine y(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/95, -1.1, 2, -0.2 in descending order.\nAnswer: 2, 2\/95, -0.2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**20\/(z**(1\/4)*z**(-3\/7)*z)*((z\/(z\/(z\/z**0))*z)**(-3\/2))**30 assuming z is positive.\nAnswer: z**(-2263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k**4\/4 - 89317*k**3\/2 + 1093299*k**2\/4 - 412657*k + 183995 = 0.\nAnswer: -10514, 1, 70\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/1)\/8)\/((-18)\/(-144)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccmgdrdrrrcicridgci. What is prob of picking 1 m and 3 i?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 21456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*m**3 - 2 + 17*m - 4*m + 27*m**3 to b*m + o*m**2 + q*m**3 + p and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 1362, 4245, 9844, 19065?\nAnswer: 32814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2547 and 10814562?\nAnswer: 10814562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-5 - -7)\/(1\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1 - 2*y**2 - 3*y**3 + 2*y**3 - y**2 + y**2. Let k = 9 - 6. Suppose -k = 2*g + 3. Calculate a(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 9) to base 15\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/4))**(9\/4)\/(o**25\/o**(-5\/6)) assuming o is positive.\nAnswer: o**(-997\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11598 - -6900806\/595. Calculate the common denominator of y and 81\/350.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372592, 1490374, 3353342, 5961496, 9314836, 13413362, 18257074?\nAnswer: 23845972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*d - 14, -3*i = -d - 0*d + 2. Let f = i - -2. Suppose -2*a + f*q + 6 = -q, -4*q = 4*a. Solve 2*w - 6 = -a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/5 (b) 8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 36138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:03 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 - (13 - 70) - -83.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.23 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x + 29. Let j be i(0). Let t = 41 - j. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 61. Let z be r\/(-2)*1\/2*-1. Suppose a = -z*a + 102. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (2 - (-23325195)\/(-21781767)). Let h = b - -4\/64253. Let q = h - -4777\/2034. What is the common denominator of -35\/16 and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.233 rounded to one decimal place?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*x = -340, 5*h - 1508 = 2*x + 84. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/(((-90)\/(-28))\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/(-735)*7\/5 - 44\/110?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 435?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 4. Let s(f) = f + 3. Let k(o) = 2*o + 3. Let g(c) = -3*k(c) + 4*s(c). Give -3*a(w) - 4*g(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - m + 4*m + 129616 = 0, 5*m + 15 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1080081 + -742284. Suppose -137*i + 146*i = p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -192 and -3.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.884686 to one decimal place.\nAnswer: 14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r**(-3\/7)\/r))\/r))**12\/((r*r\/(r\/r**(1\/3)*r))\/r*r*r)**(2\/33) assuming r is positive.\nAnswer: r**(-3620\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/((-12)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s - 22. What is the remainder when z(-6) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-95 + 56 + 3 + 5*j**2) in the form d + o*j + z*j**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 645880 and 134237?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, a: 1, t: 3, d: 3}. What is prob of sequence atdk?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:50 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 - 13*p**2 - 4*p. Let h(l) be the second derivative of -l**5\/10 + 7*l**4\/12 + l**3\/3 + 164*l. Give -11*h(u) - 6*x(u).\nAnswer: -2*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137762266?\nAnswer: 2, 109, 631937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 156*z - 259*z + 99*z - 42*z**3 to t*z**2 + u + k*z**3 + j*z and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/5 - 6\/15. Let s be 1\/4 + 7\/k. Suppose -2 = s*c + 2. Which is greater: -2\/3 or c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145800839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 8571402.\nAnswer: 2\/4285701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 252859 and 12.97697.\nAnswer: 252871.97697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.6 times 38990?\nAnswer: -4663204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2570530027.\nAnswer: 13, 197733079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51382267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c6552 + -1?\nAnswer: -3c6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2\/11, 1\/2, -0.039.\nAnswer: -3, -1, -2\/11, -0.039, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((104\/(-624))\/((-38)\/(-24)))\/(12\/(-114)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 16*v + 8*v. Let p(l) = -41*l**3 - 2*l**2 + 4*l + 12. Let s be p(-2). Let j(o) = s - 324 - o. Give j(w(q)).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 9 = 3*x - 10, 79*x - 76*x + 122*j = -229 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(2))\/sqrt(6) - sqrt(56)\/sqrt(2))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.807517 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -30, 3*x + 40 = 8*x - 4*a. Sort 2\/13, -2, x, 2 in decreasing order.\nAnswer: x, 2, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z - 46 + 254. Solve -10*s + 6 = -z*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -3*m + 2*n, 23 = 4*m + 5*n. Let q be (-2)\/10 - (-1)\/5. Let w(a) = -a**2 + q*a**2 - 1 - a + 2*a**2 - 1. Calculate w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmmp when four letters picked without replacement from {h: 3, m: 6, p: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 56, 115, 99.\nAnswer: 3, 56, 99, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 1 + 2*i**2 + 2 + 0*i**2 - 3*i. Let m be h(-3). Suppose -2*r + m = r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 2, g: 3, n: 1}. What is prob of picking 1 g and 1 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. Let w = -106 - -150. Let t = w + -219\/5. What is the nearest to 2\/3 in h, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1 + sqrt(891))*6 + 4)*6 + 2)**2.\nAnswer: 43416*sqrt(11) + 1159225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.071 - -54.929. Let k = 55.000284 - g. Round k to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 - -14?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c**2*c**3\/c**(-3\/2))\/(((c\/(c\/(c\/(c\/((c*c**(-1\/10)\/c)\/c)))))\/c*c**(-4)\/c)\/(c**(-4)\/(((c**(-1\/4)\/c*c*c)\/c)\/c))) assuming c is positive.\nAnswer: c**(157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*m + 1 + 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, 1.\nAnswer: -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/7? (a) -349 (b) -1\/11 (c) -8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*x**3 - 211*k*x**2 - 813*x**3 wrt k?\nAnswer: -x**3 - 211*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2. Let o(r) be the first derivative of -13*r**2\/2 - 9. Determine h(o(c)).\nAnswer: -507*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5021, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**17)*z**(7\/8) assuming z is positive.\nAnswer: z**(-129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 31*o - 800 = 0. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = -5*d + l, -4*l = 3*d + 7. Let r be 6\/(d\/4*-6). Suppose 52 + 8 = 4*t. Solve 0 = r*z - z - t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1751, 3515\/2, 2 in ascending order.\nAnswer: -1751, 2, 3515\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1681157850856667 + -1681158528585698.000133. Let j = u - -677729354. Let w = 323 - j. Round w to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 4.49\nAnswer: -4.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99872197 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 27*f = 132 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 5*m**2 + m + 27 - 34 + (-3 + 0 + 5)*(3*m**2 + 3*m**2 - 19*m**2))*(-1 + 0 + 0).\nAnswer: 28*m**2 - m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:29 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.98160117 to three dps.\nAnswer: -10.982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 4*w - 48, -809*o = -813*o - 3*w - 57 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 - j**3\/6 - 2*j**2. Suppose 11*v - 20 = 2. Calculate l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 5*u**2 - 5*u + 6. Let p be a(4). Let s(h) = h**2 - 3*h**2 + 3*h**p - 3*h**2. Let g(z) = z**2. Determine g(s(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -886, 30, -19, 0 in increasing order.\nAnswer: -886, -19, 0, 2, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160773162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.5 at most 564679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.004, -84\/109, 2, 0.3.\nAnswer: -3, -84\/109, 0.004, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (810\/162)\/((-10)\/70)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 321\/7*q + 36\/7 - 111\/7*q**2 = 0.\nAnswer: -4\/37, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.2 (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 80559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**2 + 223*j + 10. Let x(l) = -12*l**2 + 224*l + 12. Give 4*a(k) - 3*x(k).\nAnswer: -4*k**2 + 220*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlkukta. Give prob of sequence uq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -357 (b) 4 (c) 1\/2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54950051*l - 43914614 wrt l?\nAnswer: -54950051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(6) - (sqrt(6) + sqrt(6)*1)) + sqrt(6)))\/(sqrt(54)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1003 and 542011.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*h - h. Suppose -15 = -2*a - 3*d, 3*d - h = 2*a - 1. Solve 4*m = -3*i + 6, -5*m + a*i = -0*i - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3\/3 + 3*n**2\/2 + 3*n + 482. Let x(p) = 6*p**2 - 16*p - 16. Suppose -15 = -4*i - 3. Give i*x(k) + 16*b(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*(-3)\/27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a0 (base 14) in base 5?\nAnswer: -12144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -126. Put 0.1, -2, p in increasing order.\nAnswer: p, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 791302 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4763554?\nAnswer: 2, 2381777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*1 + 1)*-6.\nAnswer: -72*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.65, -4\/7, -2, 2127, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25222*x + 25199*x - 14646572 = -63961263. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from robad. Give prob of picking 1 a and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122223 - 122227. Suppose -3*w - 8 + 2 = 0. Let v be (w\/25)\/(2\/(-10)). Which is the nearest to -0.2? (a) v (b) -2\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - 4 + 10 - 10 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 1.92. Let u = -128.81 + 132.81. Which is the third biggest value? (a) -1 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 68 + 126*w**3 - 36 - 157*w**3.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05679 and -1.6.\nAnswer: -0.090864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -2\/9, -3.648, -1, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l**4 - 12*l**3 - 20*l**2 + 20*l + 40. Let j(g) = g**4 + g**3 + g**2 - g - 2. Let y(u) = 20*j(u) + v(u). Factor y(m).\nAnswer: 4*m**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 + -7*(4 - 2) is divided by 251.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 6. Suppose -n*g - 58 = -q - g, 5 = -g. Let p = q - 23. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04935 + -4.95065. Which is the second smallest value? (a) -0.055 (b) r (c) -2 (d) 1\/3 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from ragarggaagcraggaggg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.18 to zero decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -31*z**2 + 2*z. Let c(s) = 35*s. Calculate c(y(a)).\nAnswer: -1085*a**2 + 70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 618799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0 (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363948 and 312?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -34 (c) -41\/88 (d) -5 (e) -4 (f) 2\/17 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1500 and -39\/100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/17 + 79\/85. Factor -w*i**2 - 2\/5*i**3 + 2\/5*i + 2\/5.\nAnswer: -2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3042)\/(-91))\/((-30)\/50*190\/(-399)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 2*r - 2. Let f(u) = 12*u**2 - 11*u - 11. Let i(x) = -6*f(x) + 33*q(x). Let v(h) = 7*h - 7. Determine i(v(c)).\nAnswer: -294*c**2 + 588*c - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 2. Let w be a(-17). Let n = 36 + w. Let l = n - 20. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/221985 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22340780, 3, -32 in ascending order.\nAnswer: -22340780, -32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6 - f**2 - f**3 + f + 6 + 14 - 17. What is the remainder when 35 is divided by h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s. Let x(n) be the first derivative of -8*n**3\/3 + 5*n**2 + 130. Calculate a(x(k)).\nAnswer: -24*k**2 + 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 304 + -343. Suppose -2*x - 70 = -k, 4 = 5*x - 1. Let l = a + k. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/102 and -149\/3672510.\nAnswer: 3672510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 9, h: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -192, -179, -166, -153?\n\"Answer: 13*d - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(100)\/sqrt(4))\/sqrt(5) - (sqrt(50)\/sqrt(40))**2.\nAnswer: -5\/4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 4 (c) 2907 (d) -2 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -49. Let v = r - 27.48. Round v to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 1. Let r be c(-2). Let t be 1*-50*(1477 - r). What is t rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0.06. Let a = f + 0.16. Let v = a - 0.39. Round v to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 88*s - 1121. Calculate z(-68).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 243261 = 3162382\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Let n = 12 - 4. Suppose -n*c + 0*c**3 + s*c - 6*c**3 - 2*c**3 + 2*c**4 + 2 + 12*c**2 = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**3 + 5*k**2. Suppose q - 6*q + 20 = 0. Let p(i) = -7*i**3 - 4*i**2. Let h(z) = z**3 + 2*z**2 + 3*z + 11. Let f be h(-2). Give f*p(l) + q*j(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 9. Let k = w - 9. What is the third derivative of -2*s**3 + 3*s**2 + 4*s**3 + 0*s**k - 4*s**3 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, d: 5, w: 3}. Give prob of picking 2 w and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 87*t**3 - 9*t**2 + 3*t + 17. Suppose 40*z = 17*z + 138. Is m(z) 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 3183297?\nAnswer: 3, 13, 31, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 4*d + 0*d)*(0 - 4 + 3)*(-12*d + 12*d + 12*d + (-2*d + 2*d + d)*(0 - 5 + 3) + 1 + 2*d - 1).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 52*z**2 - 21*z - 6. Let i be r(-5). Let q = i - -114. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.78 - -0.47. Let t = 7 - 6.99. Let u = z + t. What is the nearest to 0 in -1\/10, u, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -767 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29092474, 29092464, 29092440, 29092396, 29092326, 29092224?\nAnswer: 29092084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 - 8*l**3 + 29*l**3.\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.1587.\nAnswer: 0.7935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, v: 2}. Give prob of sequence vvn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/351405 and -9\/364420.\nAnswer: 9839340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(242) + 5) + sqrt(242) + (sqrt(242) + -5 + 4)**2 + 3 + (-5 + sqrt(242) + (1 + sqrt(242) - sqrt(242)))**2 + sqrt(242)*-3 + 2 + sqrt(242).\nAnswer: -132*sqrt(2) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 3*sqrt(170)*3 + sqrt(170))\/(sqrt(160)*1))**2.\nAnswer: 2057\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 y when four letters picked without replacement from {z: 8, y: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 + 15\/(-6))*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339261 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -1675, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*d = -21, 0 - 10 = -2*n - 2*d. Suppose n*j = -2*j + 48. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) 2\/7 (c) 8 (d) 151 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(243) + 1*sqrt(243) + -2*sqrt(6)\/sqrt(2) + sqrt(3)).\nAnswer: -12 + 68*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8*(5\/3 - 1)\/(-2) and 1\/1321.\nAnswer: 3963","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v**4\/5 + 191619*v**3\/5 - 9852309*v**2\/5 - 994812*v = 0. What is v?\nAnswer: -1\/2, 0, 52, 31885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 26*i = 5*u + 69, 5*i - 50 + 37 = u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 62. Let g be n(19). Suppose 0 = -5*z - 0*o + g*o + 95, 3*z - 2*o - 53 = 0. Calculate the least common multiple of z and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 14. Calculate the remainder when 11 is divided by l(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 4\/(16\/(-364)). Let o = 122 - d. Let w = o - 0. What is the smallest common multiple of 24 and w?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 33*b - 9. Determine a(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1792 - -974847\/544. Let p = i + -2243\/544. What is the common denominator of p and 31\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or -0.8?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 c when three letters picked without replacement from {e: 1, k: 7, x: 4, j: 2, c: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) 2 (b) 5 (c) 0.5 (d) 19 (e) 18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:11 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 75*v**2 - 77*v - 551. Calculate the remainder when c(39) is divided by 205.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846920.4 grams in tonnes?\nAnswer: 0.8469204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:54 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00509 equal to -0.6661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 5*m - 3. Let v be n(3). Which is greater: -2\/13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 435 and 87?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 17 + 13. Let f(s) = -s**3 - 12*s**2 + 12*s - 12. Let n be f(-13). Is n\/v - 115\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 + 2*m - 11. Suppose -15*a + 11*a = 44. Let h(t) = 4*t**2 + t - 6. What is a*h(w) + 6*k(w)?\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 10, 2*j - 4 = w + j. Suppose -5*h = 2*x - w, 3*x + 1 = -h - 4. What is the tens digit of x + (-1)\/((-3)\/57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514210, -1028419, -1542626, -2056831?\nAnswer: -2571034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from pqwwpipplwqpqwpl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -42*u. Let x(z) = -14*z**2. Determine j(x(b)).\nAnswer: 588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389189969.\nAnswer: 3, 17, 9079673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 5*n + 13. Let c = 6 + -11. Let o be j(c). Let k be 2\/(-4) + 315\/6. Calculate the highest common divisor of k and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16025792 to the power of 1\/2, to the nearest integer?\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 1729 = -21*a + 553 + 778 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 374 - 376.3. Let d = 1 + -3. Let h = k - d. Put 3, -2, h in increasing order.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232073\/154152 - -18\/2141. Calculate the common denominator of -19\/2796 and c.\nAnswer: 16776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295299001 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1f1 (base 16) to base 13\nAnswer: 2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29c327 - 4?\nAnswer: 29c323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 273784860 and 0.5.\nAnswer: 273784860.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.34 and 137037.\nAnswer: 137039.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313394899 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 h when three letters picked without replacement from hhvjhpp?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 82 = x - 14*o - 12*o, -4*x = -3*o + 43 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 2*w**2 + 7*w**2 + (-3*w + 3*w - 2*w)*(-3*w + 2 - 2))*(-4 - 1 + 6).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23410 + -23411. Which is the fourth biggest value? (a) t (b) -2 (c) 20 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 - 4*n**4 - 41*n**2 + 48545*n.\nAnswer: -20*n**3 - 48*n**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 132, 2\/5, 6965.4, -6 in ascending order.\nAnswer: -6, -2\/9, 2\/5, 132, 6965.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*h - 225 = 575, 0 = -3*b + 4*h + 1201. Factor x - 52*x - 398*x**2 + 794*x**2 - b*x**2.\nAnswer: -3*x*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 8. Determine l(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 33584.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256912595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514724, -1029498, -1544282, -2059082, -2573904, -3088754, -3603638?\nAnswer: -4118562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 157 + 3*l**2 + 120. Let k(p) = -2*p. Determine a(k(s)).\nAnswer: 4*s**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5341034 divided by -2670517?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -329565*n**2 - 688*n - 225150832 wrt n.\nAnswer: -659130*n - 688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -24 (c) 11.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341049 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 9:58 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365247 is divided by 95?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2298816 and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -47559.3.\nAnswer: -9511.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/528)\/((-6)\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 102*d + 13521. What is h(-134)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 30. Let s(n) = 19*n - 151. Let p(m) = -11*f(m) + 2*s(m). Let r be p(3). Calculate the greatest common factor of r and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/13? (a) 217 (b) -4\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 979408187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434696 divided by -1622.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20946*x - 31987*x - 8*x**2 + 11041*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117793274?\nAnswer: 2, 19, 37, 199, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1165.1 + 1165. What is the closest to 9 in -1\/3, 0.4, y, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k - 72. Let f be o(-8). Solve f = 3*h - 22 + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + (39 - -48) + -151.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1422*p**2 + 706*p**2 - 1251*p**2.\nAnswer: -1967*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*r - 68 = 0, 2*r - 57 = -5*y + 40. Solve 1 + 0 = -u, u = 5*x - y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -509400 to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/39 + 43\/156. Put s, -5, -3 in increasing order.\nAnswer: -5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33150 is divided by 6629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l = -5*f + 40*l + 18122, -l = 3*f - 10870. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 640 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(624)\/(sqrt(36)\/(sqrt(6)\/sqrt(2))) - (sqrt(104) - sqrt(104)*-1*3)\/sqrt(2)) + 4.\nAnswer: 4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**2 + 6*n - 10. Let c(f) = 11*f**2 + 7*f - 11. Let x(o) = 6*c(o) - 7*r(o). Suppose x(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 8*l + 3*w + 5, 4*l + 4*w = 40. Suppose -7873 = -l*f - 2688. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9641 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*v - 2717 = -128*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*s + 56 + 30 = 0, -s + 55 = 3*v. Calculate the least common multiple of v and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249252 - -0.99\nAnswer: -249251.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - 1209\/(-15). Let l = -19 + g. What is the remainder when l is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 39\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 225594 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 2600?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61361608?\nAnswer: 2, 7, 11, 23, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19039790 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (-1 - -3 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-39)\/(-15) + 21\/(-35). Let m be t\/35*-10*7 + -1. Solve 3*u - 3 = -h - m*h, -2*h - 3 = 3*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 76, 3.\nAnswer: 3, 27, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 11979996?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10174949?\nAnswer: 163, 62423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - 5 - (0 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 5. Suppose 5*w + a - 51 = 0, 0*a + 29 = 3*w + a. What is the remainder when d(6) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4434*y - 4437*y + 1, 0 = -6*s + 7*y + 7 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 261671*k. Let u(n) = -7*n**2. What is m(u(s))?\nAnswer: -1831697*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 4*n. Suppose -5*s + 5*q = 0, -2*q + 18 = 5*s - q. Let c be m(s). Let w be (-2 - -4)*c\/2. Calculate the greatest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w**2 + 5*w - 3. Let v(a) = -a**2 + a. Calculate -g(i) + 5*v(i).\nAnswer: 3*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42, 40, 38, 36?\n\"Answer: -2*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543879551 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(800) + -1 + 0)**2.\nAnswer: 120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-12 - -7) + 0 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*-1*6 + -1 + sqrt(112) + sqrt(7) + (sqrt(7) + -1 + 0 + sqrt(7) - sqrt(7))**2.\nAnswer: -21*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*o - 4, 3*l - 73*o - 140*o - 188 = -39*o - 16*o - 659 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6 - (2 - 1))*27. What is the nearest to a in 0.5, 5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1930 and 164822?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -18 + 3. Suppose 9 = o*n + 3. Suppose n + 2*c**4 + 128*c - 4*c**2 - 128*c = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47852 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 10 = -3*m, 29*m + 4*r = 26*m + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 18. Let p(y) = -3*y - 34907. What is p(v(u))?\nAnswer: -9*u**2 - 34961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36829, 73423, 110027, 146647, 183289, 219959, 256663?\nAnswer: 293407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -4, -13, -20, -25, -28, -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + 729854437.\nAnswer: 729854436.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/4 - 2*r**3 - 3*r**2 - 4. Let m be p(6). Let i = -20 - m. Solve 4*u = 3*k - 6 - 2, -4*u = -5*k + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -869*l**4 - 30*l**3 - 27058 wrt l?\nAnswer: -3476*l**3 - 90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -694.9761 to the nearest integer.\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 242, 691, 1356, 2237?\n\"Answer: 108*s**2 - 91*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(13) + sqrt(39)\/(sqrt(3)*2) + 3)**2*6).\nAnswer: 54*sqrt(13) + 459\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -1101011010110?\nAnswer: -1101011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071 times -18?\nAnswer: -0.1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*u - 470*u**3 + 432*u - 99*u - 124*u - 102*u.\nAnswer: -470*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14444, -27715, -40986?\nAnswer: -54257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 61 = 4*h - 9*d, -3*h + 77 = -4*d. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-234)\/(-45))\/((-146)\/365).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.475952 minutes?\nAnswer: 508557120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1612183?\nAnswer: 1612186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -2.3. Let w = -36 - -178\/5. What is the third smallest value in -5, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 1. Let u(f) = 2*f**2 + 6*f - 2. Let w(i) = -u(i) + 3*z(i). Let c be w(6). Let h(x) = 5*x**2 - x - 1. Calculate h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0459 + -0.2541. Let k = 6 - 4. Put 1\/2, k, -3, f in ascending order.\nAnswer: -3, f, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395842 to the power of 1\/2, to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 - 469 = -9*j. Calculate the remainder when 375 is divided by j.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y. Let j(l) = -127*l + 23. Let s(b) = -64*b + 12. Let x(k) = -2*j(k) + 5*s(k). Give v(x(z)).\nAnswer: -132*z + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.52 - 2.48. What is the closest to 0.01 in -3\/8, r, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729174 minus -59.97?\nAnswer: 1729233.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 = 2*g, 4*f - 9 = 5*f - 3*g. Let i(m) = -2*m + 1. Let d(q) = 12*q - 7. Let o(p) = f*d(p) + 21*i(p). Let c(r) = -7*r. Determine c(o(v)).\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-216)\/(-378)*6\/(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 30 = 18*i. Suppose -4*u = -p - 116, 5*u - i*u - 2*p = 64. What is the greatest common divisor of u and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/5 (b) 3 (c) -3.44 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6)*(-2)\/(-5))\/((77700\/(-630))\/185)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 4 - ((3 - 29) + 21 + -18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12\/(-84) + 3960\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3065479 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90495, -90487, -90479, -90471, -90463, -90455?\nAnswer: -90447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -894 + 2933. Suppose 3*v = 5636 - c. Let s = -634 + v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1 + 1) + 414\/644\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322616245301 + 322616891469.000082. Let x = l - 646132. Let y = x - 36. What is y rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2605768 greater than or equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) + 30\/(-105). Suppose s*m - 2*m + 368 = -2*d, 5*m = d + 916. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r + 792 = -34*r. What is the remainder when r is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 24*y - 21. Let b(w) = -w + 1. Calculate 84*b(k) + 4*u(k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (248862 + 2670*q - 248862)*(5*q - q - 3*q)*(1 - 2 + 3) to the form c*q + y + j*q**2 and give j.\nAnswer: 5340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 18 + 5 = 2*w, -4*w + 47 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, 19, 66, 133, 226, 351, 514?\n\"Answer: r**3 + r**2 + 23*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 17) + (-1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-8))\/((-6)\/(-60) - (-84)\/60)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19178 + 19177.56005. What is y rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.95 - 157.95. Let g = 69245364 + -69245206.999919. Let l = u + g. Round l to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4238 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 18*v**2 + 57 - 57.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - o + 3)*(-21 + 5*o + 21 + (3 - 4 + 2)*(-2 + 2 - 3*o) + (2 + 3 + 3 + (-1 - 1 + 4)*(0 + 0 - 1))*(0*o - 6*o + 4*o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = t + 1612, -h + 8*t - 564 = 3*t. Let k be (-2)\/11 - (-1057)\/h. Are k and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 + 2*l**2 + 34*l + 30. Let g(x) be the first derivative of j(x). What is g(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -9*h**4 - 3245*h**3 - 1742*h**2 + 20856*h - 8640 = 0.\nAnswer: -360, -3, 4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 4, 5, 8, 13, 20, 29?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 3.22. Let i = d - -2.9. Let z = i + 0.13. Round z to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 96, 139, 186, 237?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 4*i - 226. Put 2, 0, 5, i in descending order.\nAnswer: 5, 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1039*w. Let q(j) = -j**2 - 5*j. What is q(z(m))?\nAnswer: -1079521*m**2 + 5195*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-2*c + 4*c - 3*c) + 3*c + 2*c - 4*c + 53*c - 1 + 3 - 22*c.\nAnswer: 30*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/15, -192, -20, -0.529 in descending order.\nAnswer: 0.4, 2\/15, -0.529, -20, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8816 is divided by 996.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -1587, -1577, -1551, -1503, -1427, -1317, -1167?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 393\/5 - 79. Suppose -5*o = -x + 7, -2*x - 2*o + 5*o = 0. Which is the nearest to i? (a) x (b) -3\/2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 11*q + 309 - 155 - 167 - 4*q**2.\nAnswer: -5*q**2 + 11*q - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 258*d**2 - 94*d + 11. Let t(r) = 775*r**2 - 281*r + 34. Let q(n) = -7*g(n) + 2*t(n). Factor q(i).\nAnswer: -(16*i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*k = 24*s + 116, -5*k - 5*s - 6530 + 6485 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 0 + -4 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 2 - -2)\/(173\/(-692)). Solve -5*h + 29 = g*r, -9*h = 4*r - 7*h - 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**4 + 547124*a**3 - 9360963*a**2.\nAnswer: 120*a + 3282744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/17)\/((-6)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + d**3 + 91 - 80*d**4 + 81*d**4 - 59 in the form z*d**3 + n*d + i*d**4 + y + t*d**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 16\/(-12))*-3. Suppose -31 - 37 = -x*g. Suppose 2*k - w - 24 = 0, k + w + 1 = 10. Calculate the lowest common multiple of k and g.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.055, 1125, 0.3?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 3570475539284.\nAnswer: 3570475539284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 32*k - 846. What is the hundreds digit of h(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309136598 and 2332.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -0.8625.\nAnswer: 11.2125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 66\/9)\/((-8)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-1) - 6\/4)*-18. Suppose -5*d - 26 = -o. What is the smallest common multiple of d and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14*c**2 - 135*c + 18. Give p(9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/78 + 63\/13. Solve -13 - 7 = q*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6167 + 6168. Is x at least 21.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 + -6?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13737 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.7? (a) 0.1 (b) 0.5 (c) -33.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 18 + (-42 - -30) + (-2 - -22)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 21*w**2 - 41*w + 117. Let h be x(-23). Solve 7 = -h*j - p, 142*j - 146*j = -3*p + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*l**2 - 5*l + 429 wrt l.\nAnswer: 90*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3122607 (base 11) in base 12?\nAnswer: -1a178a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22426*d*r**4 + 508*d*r**2 + 24*d*r - d + r**5 - 70*r**4 - 4*r**2 + 2*r + 10 wrt r?\nAnswer: -538224*d*r + 60*r**2 - 1680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 20*k - 4. Let h(l) = l**2 - l. Let s(m) = -h(m) + j(m). Let t be s(16). What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-1 - (-7 - -3))) + (-21 - -22) + -53.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 242 - -3?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6.98. Let q = 0.02001 - o. What is q rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0176 - -0.0176. Which is the biggest value? (a) 1\/9 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 71 + 77 = 4*r, 5*d - 4*r - 176 = 0. Suppose -22*m = -21*m - 18. What is the greatest common factor of m and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (0 + (5 + -8 - -7))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -332*r**7\/35 + r**5\/15 - 5*r**4\/2 + r**3\/3 + 2*r**2 + 1566. What is the third derivative of i(d) wrt d?\nAnswer: -47808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**3 - 4 + 4 - m**3 - m**2 + m**2 - m**3 - 3*m**3 + 2*m**3 + (m + 2*m - 4*m)*(2*m**2 + 3*m**2 - 4*m**2).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 - 225.00000093. Round v to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/180 + f**5\/60 - f**3\/6 - 6*f**2. Let m(s) be the first derivative of j(s). Factor m(o).\nAnswer: 2*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 467*f - 4. Let z be x(1). Suppose -6*p + 5 = -z. Calculate the remainder when 467 is divided by p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9772 and 48860.\nAnswer: 48860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -94778 times 0.4\nAnswer: -37911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111000000 + -1100000?\nAnswer: 101101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209186 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 + i + 2. Let x be b(-3). Suppose -6*d + x = -1. Let u(h) = h**2 + h - 3. Give u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 248\/(-16). Factor 7*u**3 + 1 - 14*u**5 - 21*u**2 - 5 + 11*u**5 + i*u + 5*u**4.\nAnswer: -(u - 1)**3*(u + 2)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 113*s - 144. Is q(-56) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y - 6. Let l(i) = 3*i - 2. Calculate -6*b(h) + 17*l(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 - 13*o + 552. What is m(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -14?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -24 + 24 + 0 + 9*l**2 - 8*l**2. Let r be (-3)\/(-2)*42\/9. Let j(s) = -r + 3 + 2*s + 2*s + 3. Give w(j(x)).\nAnswer: 16*x**2 - 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1276*f**2 - 1135*f**2 + 2414*f**2 - 261*f.\nAnswer: 3*f**2 - 261*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*i**4*p**3 + 4937*i**4*p**2 - 24022*p**3 wrt i.\nAnswer: 28*i**3*p**3 + 19748*i**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*b - 38*y + 39*y, 3*b + 2*y = 66. Solve -15 = 3*j - 3*n, -4*j - 3*n + 2 = b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 + 5 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 12:21 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 5*y - 20, 2*u - 10 = -5*y. Let h = u + -2. Suppose 3*l = h*l. Solve -g - 1 = -l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1033563*z**2 + 185822*z wrt z.\nAnswer: -2067126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-693))\/((-19)\/18*3).\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2197, 2637, 3485, 4945, 7221, 10517, 15037?\n\"Answer: 34*f**3 + 202*f + 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -16.5. Let t = -2.5 + r. What is the closest to -1 in 0.3, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 7 = z - 4*p, -5*z = -3*p - 132. Let i(o) be the first derivative of -12*o**2 + 65 + 5*o**2 + 34*o - z. Differentiate i(k) wrt k.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 + 1bdcd?\nAnswer: 1c021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, e: 5}. What is prob of picking 1 e and 1 h?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 49*d + 4114. What is u(-66)?\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5635 and 4508?\nAnswer: 22540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, o: 14}. Give prob of sequence fo.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30574673 is divided by 91.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:25 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllgl. Give prob of picking 3 l.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -57. Solve 0 = -a + 6*a - b - 8, w*a + b - 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43824 + 155.233.\nAnswer: -43668.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -4, 16, -0.16, 3 in decreasing order.\nAnswer: 16, 3, 1\/5, -0.16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + 2*k**3 + 3266049*k + 0*k**4 - 5 - 3266011*k - k**2 to the form x + j*k + u*k**2 + g*k**4 + d*k**3 and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*f**2 + 457*f**2 - 221*f**2.\nAnswer: -130*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 47.01. Let l = 90 + -90.41. Let w = l + 0.41. What is the closest to w in -5, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27334 - -109341\/4. Find d, given that -y*d + 5\/4*d**2 - 15\/2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2342395, 2342396, 2342397, 2342398, 2342399?\nAnswer: 2342400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 415.61 and 4.23316?\nAnswer: 411.37684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 3 - 2*a - a**3 - 1 + 2*a**3. Suppose p - 3*y + 2*y = 37, 0 = -3*p + 2*y + 106. Let w = -29 + p. What is i(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 880 and 5709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7379727 or 0.1?\nAnswer: 7379727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14913 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2160)\/(-96)*(-1 + (-10)\/(-15)) + 10\/(-4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8*(-4)\/6. Let h = -82 + 659\/8. Put m, -4, h in ascending order.\nAnswer: -4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25326 is divided by 1040?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3\/2 + 45*y**2\/2 + 81*y\/2 + 39\/2 = 0?\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w. Let c = 3 + w. Let h be (-29)\/(-3) - (-1)\/c. What is the highest common divisor of 110 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*p - 9 = 0, -k + 9 = -3*p - 0. Suppose 10*y - 11*y + 24 = 0. What is the remainder when y is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693887472?\nAnswer: 2, 3, 178469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 2960*g**2 - 495940*g - 16516720.\nAnswer: -5*(g + 44)*(g + 274)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 79*t**2 - 29*t**2 + 284346 - 77*t**2 + 2*t - 284346.\nAnswer: -185*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((112\/32)\/1*2)\/(-1). Let z(f) = f - 4. Let x be z(9). Sort 4, m, x in increasing order.\nAnswer: m, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-10392.8\nAnswer: 51964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000132749 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484567 is divided by 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177738, -177706, -177674, -177642?\nAnswer: -177610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50316 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35034818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32611\/330 + 1498\/15. Let f = 83 - 1078\/13. Let x = f + -1029\/26. Calculate the common denominator of j and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {i: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.28. Let j = -0.38 + k. Let m = 257\/655 + 1\/131. Which is the closest to m? (a) 2 (b) j (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/15 (b) -1\/8307 (c) -3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:15 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259179631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-28)*-2*133\/(-38).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17377 (base 9) in base 4?\nAnswer: 2323021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23632 + 46?\nAnswer: -23553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2523 and 7\/1682.\nAnswer: 5046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + 25*u + 17. Let z be q(-7). What is the hundreds digit of (108\/2)\/(z\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -1. Let f(g) be the third derivative of g**6\/120 - g**5\/12 - g**4\/4 + g**3\/3 + g**2. What is the remainder when f(q) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6235865 millilitres?\nAnswer: 0.0006235865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 94?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60476624899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2106 is divided by 573.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -99, -244, -479, -810, -1243?\n\"Answer: -j**3 - 36*j**2 + 54*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (123830\/(-100920) + 5\/4)\/(28\/21 + -2)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-1 - 4))*419\/10475. Which is the closest to 2? (a) 0.1 (b) y (c) -13\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzuzzzuzzzuzzzzuzzz. Give prob of sequence zuzu.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7281)\/116496)\/(2\/2752)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(13)*2 + sqrt(13))**2 - (sqrt(52)\/sqrt(4) + sqrt(13))*5.\nAnswer: -10*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4140 and -944.\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 19*q - 17. Let b be w(28). Let m = -265 - b. Let p(i) = i**2 + 6*i + 5. Let r be p(-5). Solve -m*t - t = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 17 + 15 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2510 - -17566\/7. Which is the nearest to 0.1? (a) -94 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mccqqmccm. What is prob of picking 1 m and 1 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -5, 2\/69394275?\nAnswer: 2\/69394275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence liil when four letters picked without replacement from {i: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:05 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-115*(-71)\/(-9798))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 1 + -189 + 188\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-36)\/(-14) - (-1150)\/322. Suppose v + v - 134 = -2*h, 5*h = -r*v + 333. Is 33 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**6\/10 - 9*p**5\/20 - 31*p**2 + 2*p + 3. What is the derivative of j(q) wrt q?\nAnswer: -12*q**3 - 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 10:50 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 28 - 1)*(3*l**2 - l**2 - l**2) + (5*l + 4*l - 4*l)*(-4*l + 2*l - l).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103888538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 - 0.3. Let h = -3.4 - v. Let z = 53 - 58. Which is the biggest value? (a) h (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 217991989 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -808269\nAnswer: -3233076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (-7)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1051 (base 7) to base 3\nAnswer: -112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 296981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**(-2)))**(-44)\/((g**(-2\/3)\/g)\/g*g*g*g\/((g*g**16)\/g)*g) assuming g is positive.\nAnswer: g**(440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 3 - 4 - 182*z**2.\nAnswer: -190*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {v: 3, a: 1, f: 3, w: 5}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 3 - 16*l**2 - 21*l**2 + 16*l**2)*(-17*l**2 + 9*l**2 + 13*l**2) as z*l**3 + a + u*l**2 + v*l + p*l**4 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 468*r**2 + 2*r + 2. List the prime factors of l(-1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/35)\/(237\/553)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/9 - 18932*p**2 - 403223202*p = 0?\nAnswer: -42597, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20*(-2)\/1*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1402828, 5611315, 12625460, 22445263, 35070724, 50501843?\n\"Answer: 1402829*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 4649 = -881. Is 9 a factor of (-3)\/2*-4 + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 6645.\nAnswer: 6645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -501, -516, -531, -546?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000037 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5075 by 1015.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 6*o**2 - 7*o + 8. Calculate the remainder when 54 is divided by s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.24 (b) 36 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.02 - -21.039. Let c = s - 1.09. Round c to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + 492\/(-56) + 0 and 39\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*h + 315 + 33, -f = -2*h - 87. Solve 11 = 14*b - f for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 27, 2\/17, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -170967?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 - 6*q + 6*q)*((-2 - 2 + 2)*(-q - 2*q + 2*q) - q + 2*q - 2*q + (0*q - 4*q + 2*q)*(-3 - 4 + 5) + 0 + 0 - q).\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 195963 divided by 1\nAnswer: 195963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2175\/(-174)*42\/15.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 636c - -8c?\nAnswer: 642b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6412013 = -3*h - 2*h + 4*q, -4*q + 12 = 0. Let i = h - 1211872874\/945. Let j = i - -2\/135. Which is greater: j or -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3594883620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3609670 = -7*y + 3*y - 3609661, -y + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - 36*o + 56 = -11*i, 3*i - 3*o + 21 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13543, 3, -1.\nAnswer: -13543, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3 = -4*f + 1, -401*a = 3*f - 396*a - 38 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958399 is divided by 73?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 1. Let q(k) = -k**2 + 3*k + 7. Let b(n) = -171297 + 85657 + 7*n - 2*n**2 + 85655. Calculate d*b(z) + 9*q(z).\nAnswer: -z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in -5, -1.37, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, k: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5296935 times 0.4?\nAnswer: -2118774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13484658.\nAnswer: 2, 3, 11, 173, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (1 - (0 + -3 + 1)). Suppose 3*c - 8 + 3 = b*d, -2 = -2*c + 3*d. What is the remainder when 59 is divided by ((-21)\/c)\/(1*1\/5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6428323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 699670 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*r = -35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/4 (c) -144 (d) -7 (e) 1 (f) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -707?\nAnswer: -707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 2*d**2 + 10*d - 80. What is w(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412354 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, -5, -1 in descending order.\nAnswer: 1, -1, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -19) + -1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 1}. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 15*r. Let u(g) = 13*g**2 + 13*g**2 - 22*g**2. What is u(w(q))?\nAnswer: 900*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.457391 rounded to two dps?\nAnswer: 21.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45678 and 2208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*q = -121, 0 = 4*d + d - 4*q + 159. Let v = d - -33. Solve -v*g + 3*g + 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-510))\/(1\/(-9)*1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 517 - 263 + 1882*o - 254 to the form l*o + d and give l.\nAnswer: 1882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127840 divided by 940.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2057) + sqrt(2057) + 2 + sqrt(2057) + sqrt(2057)))**2*-5.\nAnswer: -4114500 - 22000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.007, 0.2, 1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6491.706um?\nAnswer: 0.6491706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let x(w) = 7*w - 5. Let j(a) = -25 + 21 - 725*a + 731*a. Let o(k) = k**2 - 4. Let q be o(3). Let r(y) = q*j(y) - 4*x(y). Determine r(l(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(234\/30))\/((-165)\/594)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.292 + 0.092. What is the third biggest value in -1\/3, -4, c, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 - g**3\/3 + g**2 - 6*g. Suppose 0*r = -2*r - 6. Let z be p(r). Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 8 + 28. Suppose g*q + 25 = 4*q, -15 = -3*w + 3*q. Suppose 3*n + 5*k - 3 = -1, w = -n - k + 2. Solve n*r = -8 - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -20769*q - 21007. Give u(-1).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4933064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - -30. Let t = -3 + 11. Suppose 2*q = t + 6. What is the highest common divisor of q and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y + 2*h = 51*y + 18, -5*y + 2*h - 30 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = -f - 52, 4*m - 5*f = -63. Let p be (-6)\/15 - (-296)\/(-10). Let k = m - p. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddp when three letters picked without replacement from {n: 5, d: 2, p: 1, q: 1, z: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 12*l + 16. Let b be o(13). List the prime factors of -5 + (442\/b)\/((-8)\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -560*v**2 + 20*v + 65. Let i(k) = -281*k**2 + 10*k + 36. Determine -9*i(l) + 5*j(l).\nAnswer: -271*l**2 + 10*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (780 - 780 - 43*t**2)*(t - 5*t - t + (1 + 2 - 2)*(-2*t - 3*t + 4*t) + (0 - 1 + 2*t + 0*t)*(0 - 5 + 4) + (3*t + t - 5*t)*(2 + 4 - 7)).\nAnswer: 301*t**3 - 43*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 7:21 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.4044 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639 - 386 - 340 = -21*z for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-12)\/t))\/((t*t**7)\/t))\/(t**(-15)*t**(-11)))**(-1\/28) assuming t is positive.\nAnswer: t**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*c + 12 = 4*k - 106*c, 0 = 3*k - c - 8. Solve -9 = -7*i - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/2 - j**3\/2 + j**2\/2 - 147*j - 2. Calculate the remainder when 35 is divided by y(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -11330, 7, 0 in descending order.\nAnswer: 29, 7, 0, -11330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(3 + w - 3) + 4*w - 3*w + 2*w + 3*w - 5*w - 5*w + 1 + 3*w - 4*w - 2 in the form k*w + b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 - 1)*(4*h**2 - 3*h**2 + 2*h**2)*((1 + 0 - 2)*(0 - 2 + 4) + 275 - 124 + 278).\nAnswer: 16653*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6266567 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041822357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 29. Let y be 4 - (33\/(-3) - x). Suppose -y*k + 21*k - 4060000 = 0. What is k rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s)*(-2*s + 1 - 1) - 25*s**2 + 12*s**2 + 0*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.3 + -12.3. What is the closest to j in 3, -51, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 32127116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnowcobb. Give prob of picking 1 n and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*q**4 + 1043*q**3 + 15*q**4 + 2*q - 1047*q**3 + 24*q**2 to c*q**3 + n + d*q**2 + k*q**4 + i*q and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - 2.2. Let m = n - -0.1. Let y = 9 + m. Which is the third biggest value? (a) y (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 41 - 9. Calculate the greatest common divisor of 40 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*d = -4, -2*q + 9 = 2*d + d. Let i = 7 - q. Suppose 0*x + i*x - 8 = 5*r, -3*x + 6 = r. Which is smaller: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let t(w) be the second derivative of -3*w**4\/4 + w**3\/3 - w**2\/2 + 46*w. Calculate t(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/1066 or 1?\nAnswer: 15\/1066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25144777 (base 8) to base 9.\nAnswer: -11408360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -110000?\nAnswer: 102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 8368*n**2\/3 - 1139850*n.\nAnswer: -2*n*(n - 3725)*(n - 459)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -513704*x + 1623565?\nAnswer: -513704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -16*o + 293. Suppose -o + 20 = -4*q. Suppose 235 = -0*z + q*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 5 + 21*i + 17*i**2 - 4 + 14*i.\nAnswer: 17*i**2 + 26*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010001110100010111110100 + 0?\nAnswer: -110010001110100010111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 12*i - 734 - 989. What is the remainder when i is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 times 2166\nAnswer: 162450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*t = 40, 3*r = r - t - 32. Let a be (-60)\/(-14) - r\/(-49). What is the remainder when 22 is divided by a\/(4\/2)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:49 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567*t + 40947 = -31135 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 24\/7, -1\/89, -1?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -7. Let t be 6 - (i - (-16)\/4). Sort -1, t, 5 in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - 4*(2 + -15) is divided by ((84\/10)\/(-3))\/(6\/(-30))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 19*f**3 + 175*f + 106*f**3 + 250*f**2 + 364 - 334 + 20*f**4 = 0.\nAnswer: -3, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 85916*f + 2663395. Determine m(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.2437249 less than 1.46?\nAnswer: -18.7837249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3)*((-f + 2*f - 5*f)*(-1 + 1 - 10) - 3*f + 11 - 11 - 20 - 3*f + 20) + (0 - 3 + 1)*(-3*f + 2*f + 2*f) to the form a*f + q and give a.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b - 26*b + 82*b**2 + 11066*b**3 + 18*b + 70*b - 1182*b**3 wrt b.\nAnswer: 59304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42584 is divided by 273?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 333*a**2 - 3150*a - 1791. Determine b(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 481*f**3 - 74*f**2 - 4 wrt f?\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 403 - 221 = 0. Suppose -p - 2*p - 39 = -q, -4*q + 76 = 4*p. Let k = 37 - q. What is the greatest common factor of k and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(1\/2)*b*b**(-2\/7))**(-45)*(b**0)**(3\/22)\/(b**(-6)\/b*(((b\/b**(-3))\/b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-1955\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + m + 545 = 542, -5*m - 15 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(130)*1)\/((sqrt(10) + sqrt(360))*2) + -3)**2.\nAnswer: 9*sqrt(13)\/7 + 1881\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -4, 4, -3 in ascending order.\nAnswer: -47, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 smaller than -577.8987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((23\/((-1955)\/136))\/(-28))\/((-6)\/28)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 i when four letters picked without replacement from xiiikiixx?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*4*(sqrt(128)*2 + sqrt(128)) - (5 + (sqrt(128) + -1 + 3)*-6))**2.\nAnswer: 1920*sqrt(2) + 115216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6228988 divided by 4?\nAnswer: -1557247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 748831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/168*4*(-27)\/(-12). Put -0.01, 5\/6, h in descending order.\nAnswer: 5\/6, -0.01, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(114) + ((-1*sqrt(114) - sqrt(114)) + sqrt(114) - sqrt(114)))*1)\/(-4*sqrt(150))*-1.\nAnswer: -2 - sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*t - 9418 - 9399 + 18770 to the form v*t + w and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -370\/3879 - -89\/431. Which is the second smallest value? (a) -3 (b) p (c) 5 (d) 30.9 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Calculate the lowest common multiple of 3*2*3\/(-9)*-10 and 3\/k*(-4 + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 375*z + 4125. Let k be w(-11). Factor 49\/6*y + 7\/3*y**2 + k + 1\/6*y**3.\nAnswer: y*(y + 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 5*h - 2*h. Let p(s) be the third derivative of s**4\/12 + 4*s**2. Let y(a) = -4*a. Let u(v) = -9*p(v) - 4*y(v). Determine u(n(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2)\/((-45)\/36). What is the third smallest value in r, -5, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.51533 years to decades.\nAnswer: 7.051533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + x - 2. Let q(c) = 16*c**2 + c + 25. Let m(p) = -3*h(p) - q(p). What is the first derivative of m(d) wrt d?\nAnswer: -26*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1765 and 12869321?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a**2 + 4*a - 4. Let m be j(-6). Suppose 176 + m = 8*r. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3906516 = 3906517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.18 > -194810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**0*y))\/y)\/y)\/y**34*(y**4\/y*y)\/y**(2\/53) assuming y is positive.\nAnswer: y**(-1698\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029*342.\nAnswer: 9.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 1830.3881.\nAnswer: 5491.1643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 2*d**2 - 2*d + 1. Let v be l(1). Suppose -v*b = -4*b. Which is greater: b or -3\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -6 - (-6 + 4 + -3). Suppose -2001 = k*f - 11955. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377189301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.3, -24175\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*v + 137, 8*v - 5*v - 231 = -4*g. Let d = -1 - 51. Let b = d + g. Solve -f - 2 = b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-344*s - 23*s - 2 - 80*s)*(-s + 4*s - s).\nAnswer: -894*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -646914255 to the nearest 1000000.\nAnswer: -647000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let g = m + -3.8. Let a = 0.01 + 0.99. What is the closest to -2\/7 in a, g, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s - s + s)*(-4 + 2 + 1) - s - 4*s + 3*s + 2*s + 0*s + 0*s + 2*s + 109 - 4*s - 116)*(-584 - 48*s**4 + 584).\nAnswer: 144*s**5 + 336*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1462 - -2188. Let y be -10*(z\/(-4) - -3). Let n = -532 + y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*h + 8382, -y + 5371 = -5*h + 26312. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/187 and -103\/19844?\nAnswer: 337348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 11*v = 4*z - 12, -5*v - 17 = -3*z. Is 5 + ((-532)\/(-95))\/(v\/(-685)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50898 smaller than -50899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 73 = -71. Suppose 0 = -i + 3*r + w, -96 = -2*i + 4*r - 2*r. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 + 97. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 24*t**2 + 12*t - 21. Let a(j) = -j**4 - j**3 - 26*j**2 - 12*j + 20. Let s(f) = -3*a(f) - 4*z(f). Factor s(k).\nAnswer: 3*(k - 2)*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -49, 5, -20, 2, -1.5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-35))\/4*(-84)\/((-75)\/(-25))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 171 - 54 = 0. Suppose -11*v + 15*v - 4 = 0, 4*n - v - c = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*(sqrt(216) - sqrt(216)*1))\/(sqrt(12)\/(sqrt(64) + 2*sqrt(64) + sqrt(4))))**2 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 101*y - 99*y - 4*a - 10 = 0, -4*y + 10 = 2*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -115436?\nAnswer: -14\/28859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 48 = -4*a, -4*j - 828*a - 60 = -823*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 74, 5, -5, -122?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -44.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6358.4 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(224\/24))\/((-684)\/(-36708))?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 11*k - 73. Let f(x) = x**2 + 33*x + 15. Let q be f(0). Suppose 17 + 3 = 4*t. Solve -k*a = -t - q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1522 + 1523.051. Let g = 0.051 - v. What is the closest to -0.2 in 4, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/6030 and -61\/2463.\nAnswer: 4950630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 11. Let l(z) = 3*z - 2. Calculate the smallest common multiple of v and l(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (1 + sqrt(343)) - sqrt(343) - sqrt(343)) + (sqrt(70)\/(sqrt(10)*-1))**2.\nAnswer: -14*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-48))\/((6 - (-938)\/(-168))*-3).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(2 - -1) + 284\/48. What is the smallest value in h, 1, 19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let f(q) = -875*q**2. Determine f(b(m)).\nAnswer: -875*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1350*b + 1334*b - 160 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.7 + 20. Put s, -2\/9, -0.1 in increasing order.\nAnswer: -2\/9, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.18 + -160\nAnswer: -156.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/20)*12\/(-50)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**3 - 3*l**2 - 6*l - 11. Let h(f) = -4*f**3 - f**2 - 3*f - 6. Let z(x) = -3*a(x) + 5*h(x). Determine z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 60*v + 55.\nAnswer: 5*(v + 1)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*u. Let j be (u - 0)\/1 - -47. Let v(g) = -92*g**2 + 45*g**2 - g - 4*g + j*g**2. What is v(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuukkkfkkytykfykuku. Give prob of sequence ff.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14142 and 16?\nAnswer: 113136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3499 or 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 4*t - 10. What is the tens digit of u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 2*w - 2*w**2 + 2*w**3 + 3*w**2 to the form d*w**2 + v + q*w**3 + s*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*s + 6, 8 = -3*b - s + 1. Let y(r) = 3*r**2 + 353*r + 356*r - 709*r. What is y(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6791237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 17*x**5\/4 - 15*x**4\/4 - x**3\/2 = 0.\nAnswer: -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppa when four letters picked without replacement from {a: 1, p: 3, i: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**9\/120960 + g**7\/10080 + g**5\/30 + 7*g**4\/12 - 80*g**2. Let h(z) be the third derivative of f(z). Factor h(k).\nAnswer: -k*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * 20.39.\nAnswer: 713.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11172?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*n + 26*n - 15*b + 13*b - 10, -3*n + 5 = 2*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 7090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - -2*sqrt(1300)*-1) + 2*sqrt(1300) + 5)**2 - (1 + ((sqrt(208) - (-1*sqrt(208) + 0)) + sqrt(208))**2).\nAnswer: -548 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:43 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522799?\nAnswer: 7, 173, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = 17*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-889)\/(-210) + (-77)\/33 + (-10)\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.6, -1415550\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = b + 26, x + 6 = 4*b - 4. Let u(t) = -t**2 + 8*t - 5. What are the prime factors of u(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j - 3. Let k be -1 + 8*1 + -1. Suppose -3*u + u = -5*b + 4, 5*b - k = 3*u. Calculate the remainder when f(u) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**7\/840 - f**5\/40 + f**3\/6 + 2*f. Let m(y) be the second derivative of x(y). What is the second derivative of m(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22202221 + 102?\nAnswer: -22202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 10*x**2 + x + 12. Let j be f(-10). Let t(n) = n - 3*n - 2*n**3 + 3*n**3 + 1 - n**2. What is the units digit of t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 25*u**5\/6 - 815*u**4\/3 - 3931*u**3\/6 + 28790*u**2\/3 + 41672*u + 45024 = 0.\nAnswer: -4, -12\/5, 7, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7\/419373, 1\/46, 0.4?\nAnswer: -7\/419373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-6))\/((-3797)\/(-30376))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84291 is divided by 581?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g + 1. Let v be 108\/15 + -2 + 1\/(-5). Suppose -v = 5*c + 10. Let z(o) = 11*o + 2. Calculate c*z(s) + 8*l(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 117*g - 596. What is the tens digit of v(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.822 and 7.\nAnswer: 10.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5 - 36\/(-8)). Is 196977\/(-22)*((-4)\/(-3) - n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -132*b - 1178. Let n be g(-9). Solve 0 = 2*d + 3*z + 7, -23*d = -28*d - 2*z + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, r: 1, s: 1, z: 1, n: 1}. What is prob of sequence rs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a11 + 4?\nAnswer: 12a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -65.8686?\nAnswer: -65.8686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*(-1485)\/90 - -22\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -33. Suppose 12 = 5*y - 3. Which is the nearest to -2? (a) x (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790730 at least as big as 1790730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:18 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29d5 (base 15) to base 5.\nAnswer: 241400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 6*v + 17. Let i be g(-4). Suppose 2*o + 0 = -4*z + 10, 3*z + o = i. Is (z - 57\/(-3))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by -1 - (-11)\/(44\/48).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -303472*z**6 - 251370*z**2.\nAnswer: -36416640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(5 - (7 - (-67014)\/(-33506)))?\nAnswer: 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -58, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13014387*y**4 - 12731744 wrt y?\nAnswer: 52057548*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 513 - 160. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 120200?\nAnswer: 120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 2*x - 16. Let n be j(7). Find the second derivative of -44*k + 49*k + n*k**5 - 3*k**5 + 8*k**5 wrt k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -1\/24*d**6 - 1\/168*d**7 - 1\/12*d**3 - 9\/80*d**5 + 25*d + 0*d**2 + 0 - 7\/48*d**4. Let v(z) = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.798571322 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*v + q, -5*q + 20 = 2*v + 3*v. Let o(k) = -k**2 + k + 1. Let x be o(v). Let h = 2 + -1. What is the smallest value in 1\/4, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239491335835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (13\/(-39) - 95\/(-15)). Solve 4*f = 5*n - b, -5*f - 37 = 3*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747 = 32*f + 2483 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1020*h*n**2 - 74071*h*n - n**5 + 3979*n**2 - 72*n wrt n?\nAnswer: 2040*h - 20*n**3 + 7958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*p + 177372 = 267*p. Is 84 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779325.4l in millilitres?\nAnswer: 779325400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315822 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -17*r**2 + 6*r + 1 - 13 + r + 0*r + 18*r**2. Calculate o(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78.2 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.37, 0.08, -79, -2 in ascending order.\nAnswer: -79, -2, 0.08, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703255727?\nAnswer: 3, 239, 541, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + (-2 + sqrt(176))*-1 - -5*(sqrt(176) + 2)*-2) + 5.\nAnswer: -44*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985\/(-199) - (-46)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-16)*0)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22572 divided by 4?\nAnswer: -5643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8811787 kilograms to grams.\nAnswer: 881.1787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = 9. Suppose -3*b = -a - 22. Suppose -20 = -3*u - b. Calculate the least common multiple of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47\/28 + -3\/7. Let j(r) = r. Let i be j(6). Let q = -6 + i. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*h - 38, -2*h - 28*d + 8 = -30*d. Which is the nearest to -2\/13? (a) 5 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203 + 431. Suppose 6 = 2*b, n = 2*d - 0*d - 4*b. Suppose 5*a - d = a. What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231\/(-44))\/((6783\/(-68))\/3)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.29 minus -5?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -349.2 + 349. Sort -1\/2, 4, -9, z in ascending order.\nAnswer: -9, -1\/2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 2459*n**7\/210 - 1049*n**4\/12 + 1036*n**2. Find the second derivative of l(r) wrt r.\nAnswer: 29508*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1528931 * -0.1.\nAnswer: 0.01528931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1426364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.18 rounded to the nearest integer?\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9730 and 80620?\nAnswer: 564340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**3\/6 + 5*a**2 - a. Let j be c(-8). Let r = 68 - j. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -12 + 12)*-1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 3. Let a be w(-2). Let k be (-3 - 0)*1\/1. Put 5, k, a in descending order.\nAnswer: 5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -16\/5*o**5 - 1\/6*o**3 - 2\/3*o**4 - 87*o + 1 + 0*o**2. What is the third derivative of p(j) wrt j?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2169, -2168, -2167, -2166, -2165, -2164?\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**4 - 46*g**3 + 128*g**2 wrt g?\nAnswer: 48*g - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -19, -2, 2 in decreasing order.\nAnswer: 2, -1\/8, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 6. Let c be b(-2). Solve c*z - 7 = 4*o - 9, 3*z + 19 = -2*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let c be (l - 0)*6\/(-4). What is the third derivative of -7*o**2 + 2*o**2 + c*o**2 - 3*o**6 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 d, and 1 z when four letters picked without replacement from zdjdjdjzdj?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:44 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 5*i. Let p be 32 + 6 + (3 - 7). Let n be -1*(-9)\/6*(-52)\/(-2). Let b(g) = -n + g + 73 - p. Determine -3*b(q) + u(q).\nAnswer: q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863938 = -13750*r + 690687 - 89957 + 89082 for r.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217*k**5 - 15*k**4 - 59*k**2 + 2*k**3 - 19*k - 12*k + 56*k**2 wrt k?\nAnswer: 13020*k**2 - 360*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u + 126 = -5*u. Solve u*s + 2 = -5*l + 9*l, 0 = -2*l + 3*s + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 14*a**5\/5 + a**4\/12 + 7*a**2\/2 + 47*a. Find the third derivative of t(l) wrt l.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70862364, -70862362, -70862360, -70862358, -70862356, -70862354?\nAnswer: -70862352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 165, 1\/2, -838, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 183\/96 - (1 + 1). Let d = 79\/160 + r. Let h = -0.4296 - -0.7296. Which is the third smallest value? (a) 0.07 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 35. Let h be j(8). Solve 3 = 4*l + h*x, -4*x - 2 = 3*l + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*-3.5\nAnswer: -4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38915 and 264622?\nAnswer: 1323110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + -12 + 6 - -9 - 14\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r. Suppose v - 29 + 0 = r. Let j = -16 + v. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020122 + 11?\nAnswer: 2020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -4ad?\nAnswer: 4ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 217, 222, 229, 238?\n\"Answer: q**2 + 2*q + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-74)\/(-14) + -1*12\/42. Determine q so that -7*q**3 + q**3 + 2*q - 2*q**2 - 14*q**z + 25*q**4 - 5*q**2 = 0.\nAnswer: -1\/2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210457796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62834 by -178.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) 1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1174240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-2)*(5 + 16)\/(-3). Let s = 70 + z. Solve -5*i + 2*i + 6 = s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, w: 1, e: 1, i: 1}. Give prob of sequence ie.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 550395?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/30 - q**2. Let x be (2\/(-3))\/((-6)\/(-9)). What is the remainder when 7 is divided by f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.73, -2\/57, 1\/19, 1, -2?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1139*z. Suppose b - 918 = 7*b. Let w(v) = -15*v. Let l(u) = b*w(u) - 2*n(u). Let j(y) be the second derivative of y**4\/6 - 13*y + 3. Give j(l(h)).\nAnswer: 578*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:09 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42102 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 59. Let u be (-2)\/(16\/24 + (-64)\/114). Let d be i(u). What is the smallest value in 10, 0.3, d, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 74654.\nAnswer: -18\/37327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.24 - -3.27. Which is the second smallest value? (a) 1\/11 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 351973?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 + 4 + 1 + 6*u**3 - 1. Let j(x) = 11*x**3 + 7*x**2 + 7. Give -4*j(y) + 7*w(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -912 (b) 17.9 (c) 1\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**4 + k**4 - 4*k**4 + (5*k + 0*k - 3*k)*(3*k**3 + 1 - 1) + 116*k**2 + 58*k**4 - 116*k**2 to a*k**3 + s*k**2 + f*k**4 + t + j*k and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 1, u: 2, f: 1}. Give prob of sequence ud.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 - 48*c + 84. List the prime factors of j(19).\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 10*b**2 - 5*b + 5*b + 4*b**3.\nAnswer: 2*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59279024 and 588.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 19*r**3 + 3*r**2 + 4*r - 5. Let f(l) = -l**3 + l - 1. What is 4*f(x) - g(x)?\nAnswer: -23*x**3 - 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*y - 167*y - 6*t - 3 = -324*y, -5*t = 5*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 261 = 4*g, 0 = -3*g + g + 6. Sort x, 1, -1 in descending order.\nAnswer: x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32814499 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5662514.536 rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -470496 >= -470506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 17*d + 2*d = 6*d + 8*d - 142, 7*d = 2*f - 176 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -1 - (-861)\/7. Let x = 8 - p. Let s = -75 - x. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 178*q**3 + 3*q - 2. Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/5 + 26*o**4\/5 - 83*o**3\/5 - 22*o**2 = 0.\nAnswer: -1, 0, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4, 3*i - 2 = 4*g - 3. Suppose 43 + i = 4*a. Suppose -2*p - 6*n = -2*n, 5*n + a = 3*p. Solve -p = -0*k - k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1073124 divided by -3\nAnswer: -357708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -346 + 506. Suppose -z = -24*k + 19*k. What is the remainder when 116 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + -0.19855247659.\nAnswer: 0.40144752341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442496.\nAnswer: 2, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44*(2 + (-15)\/6). Let h = -5 - x. Suppose 0 = -12*s + h*s - 60. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(637) + 3 + 5 + 5 + sqrt(637)*-1 + sqrt(637) + sqrt(637) + (3*(sqrt(637) - (2 + sqrt(637))) - sqrt(637)) + sqrt(637) + sqrt(637) + -1)**2*-1.\nAnswer: -5797 - 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -6, -21, -38, -57, -78?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.987 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - k**2 - 2*k**2)*(-3*k**2 + k**2 + 9*k**2) + 398*k**4 - 996*k**3 + 996*k**3.\nAnswer: 384*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 67 = -67. Let q = 21460\/49 + -438. Is q != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Suppose -s + x*d - 8*d + 43 = 0, 3*d = s - 50. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 86*z - z**3 - 84*z + 2*z**4 + 3*z**2 to n + m*z**3 + l*z + j*z**4 + q*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hvvvhvvvhhchhvhhhvv.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 2 (c) 4 (d) -0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 435960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16310\/(-12815) - (-574)\/88?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s**3 - s**2. Give j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 5*w + 9. Let r(f) = 3*f**2 + 2*f + 4. Let v(z) = -5*z**2 - 4*z - 8. Let b(d) = 7*r(d) + 4*v(d). Let l = 4 - 9. What is l*b(p) - 2*g(p)?\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = -2*q + 24, 3*q - 6 = -3*n. Let y(u) = -u**2 + 5*u - 2. Let f(l) = 5 - 6 + 5*l - 1 + l**2 - 2*l**2. Let a(k) = -5*f(k) + 6*y(k). What is a(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339632\/51681 - -2\/7383. Let o = 46783\/2282 - 1\/1141. What is the common denominator of o and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**2 + f**3 - 8*f - 7 + 1 - 3*f**3. Let t be 3\/9 + 16\/(-3). Is m(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/9)\/((-4)\/(-126)*7) + 9. Sort -9, -5, -1, 6, i in decreasing order.\nAnswer: 6, i, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 10233?\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*i + 327 = -5963 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1625)\/(-975))\/((-5)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8549 - -2369. What is r rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400.5 + 65771.3.\nAnswer: 65370.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 72842243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6, -14, -62, -150, -290?\n\"Answer: -2*l**3 - 2*l**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715 = -3*v + 965. Let m be 14\/1 - (-6 - 2146\/(-111)). Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6045221778.\nAnswer: 2, 3, 97, 10386979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 34. Let n be r(34). Let i = n - -204. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c - 3. Suppose 3*v - 3*i - 6 - 15 = 0, 3*v - 4*i - 24 = 0. Let o be q(v). Solve 4*a + o = -3, -s = 5*a + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 2, z: 7, y: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/746 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/47 and 43\/6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916923 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14370111?\nAnswer: 3, 7, 228097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/7 - 248*h**2\/7 + 2108*h\/7 + 12144\/7.\nAnswer: -4*(h - 11)*(h + 4)*(h + 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -5*v + 2*l + 481, 527 = 3*v + 2*l. Suppose -i + v = -36. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11. Solve s = 3*j - 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 28 + 202. Suppose 29*d + 240 = 41*d. Let u = d + l. What is the highest common divisor of 33 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07102297 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*a + 48 = -5*p, 3*a = 0. Let c = -6 - p. Does 9 divide (-500)\/c*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -278, -280, -284, -290, -298, -308, -320?\n\"Answer: -p**2 + p - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42751699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21699, 42898, 64099, 85302, 106507?\nAnswer: 127714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faz when three letters picked without replacement from gzfggzeaze.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, -1, 8, -25 in descending order.\nAnswer: 13, 8, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 11:20 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 1. Suppose q - a = -3*a + 2, 0 = -5*a + 5. Let v be (-1 + 1)\/(3 - (-3 + 5)). Suppose v = -l + 2*t, q*l - 5*t = l. Determine z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 757 = -2013. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2858688 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 501 = -4*a - 133, -2*f = -4*a + 276. Let w = f - -193. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3630 + -1929. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8 and -55\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -822, -886, -956, -1038, -1138, -1262, -1416?\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49626 (base 14) to base 11.\nAnswer: 112a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.75206 and -81.54287.\nAnswer: -79.79081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 133*q**2 - 20*q + 81. Is v(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 + 2 = 0. Suppose s*p - 8 = -4*u + 4, 3*p + 21 = 3*u. Calculate the remainder when u is divided by 15\/3 + (-5 - (1 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 7331, 3 in increasing order.\nAnswer: -13, 3, 7331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19890 divided by -510.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5164.49 + -42\nAnswer: -5206.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from gkgba?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165160 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 332.43 - 331. Let g = -0.43 + j. Which is the smallest value? (a) -1\/11 (b) -0.04 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 175 = 6*i. Let q = 63 + i. Suppose 0 = -p - 4*p + 50. Calculate the remainder when q is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89ab4c (base 13) in base 15?\nAnswer: 443526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t + 3)*(-65282*t**2 - t**4 - 5 + 65284*t**2 - 28).\nAnswer: -2*t**5 + 4*t**3 - 66*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3953030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4981306.2 and 0.103.\nAnswer: -4981306.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (4 - (2 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4913, -9827, -14741, -19655, -24569?\n\"Answer: -4914*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -30.1, 3\/5.\nAnswer: -47, -30.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 8*a**2 + 4. Suppose -2 = -2*z - 10, -5*v = z - 36. Let m be k(v). Let l(h) = 2*h + 3. Let w be l(0). Solve m = c + w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 9 (b) 0.18 (c) 0.4 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 24 = 2*n. Let g(p) = -7*p**2 + 4*p + 4. Let i(h) = 6*h**2 - 3*h - 3. Calculate n*i(c) - 5*g(c).\nAnswer: -c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21303?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmumbmmmm. What is prob of picking 1 u and 3 m?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/15)\/((22\/77)\/((144\/28)\/(-3)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*w - 18*w + 56448. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60060 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.558 - -1179704.2413?\nAnswer: 1179704.7993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15680106 by 593.\nAnswer: 26442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xebp when four letters picked without replacement from xieebbapeeaebie.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/51)\/(3\/((-6)\/8))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38130 is divided by 4766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 7. Let t be v(2). Let x = -5 + 2. Put x, 0, t in ascending order.\nAnswer: x, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from bbbbbjbbbbbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19 + -8 + 4)\/(-1). Calculate the greatest common factor of i and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r**3 + 8*r**2 - 17*r - 17. Let y = -602 - -596. Let m(a) = 5*a**3 + 3*a**2 - 6*a - 6. Give y*d(q) + 17*m(q).\nAnswer: q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -11*b + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Let g be 9\/(-6) - 2\/(-4). Let f(j) = j**2 - j. Let q be 2 - (-1 - -1) - 4. Let z(o) = -o**2 + 2*o. Let u(n) = g*z(n) + q*f(n). Calculate c(u(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*s + 47*s - 76*s - 42*s - 4 - 80*s to the form k*s + p and give k.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 17*a**2 + 6. Let b be i(-17). Suppose 0 = 5*z + 25, -2*v + b*z - 50 = 10*z. Put -2\/7, -0.4, v in increasing order.\nAnswer: v, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6777, 6780, 6783?\n\"Answer: 3*w + 6774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 0.7, -5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6 + ((-588)\/(-8))\/(-7). Let b(d) = -12*d + 5. Let y be b(4). Let s = f - y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2. Let l be n(2). Solve 13 = 2*k - t - l*t, 5*k - 17 = -3*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (11 - 6)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4\/4 - 5*y**2\/2 + 3*y. Find the first derivative of i(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/12294 and 149\/282.\nAnswer: 577818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 3. Let o be d(-7). Suppose -4*f - 4*l = -140, -f - 5*l = -o*l - 29. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 + -5316414423.84\nAnswer: -5316414515.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -37, -2, 5, -45, -5.\nAnswer: -45, -37, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1537*f**2 + 319. Let g(c) = -29*c**2 + 6. What is -319*g(l) + 6*w(l)?\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242 + 327*a + a**3 + 117 + 128.\nAnswer: a**3 + 327*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14) - (-210)\/12) + -14 + 88\/(-30)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111 - 111011001010?\nAnswer: -111100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*a + 90 = 0, 3*x - a = 2*a + 135. Is ((-10)\/x + (-11)\/(-9))*673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b - 54*b = 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7719 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 777 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 13*g**2 + 4*g - 2. Let x be w(9). Let n = x + -428. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*c = 9, r + c - 3 = 2*c. Let t(h) = -r + 5*h - 8 - 2*h. Let m be t(-9). Round m to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j + 96 = 0. Let n = j + 24. Let h(k) = 3*k**2 + 14*k - 3. Let b be h(-5). Solve 3*o + 4 + b = n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*1189\/205*40\/(-28)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(72) + -2)*2 + sqrt(72) + 3 + sqrt(72)*-2)**2.\nAnswer: -60*sqrt(2) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 - 3*a - 4. Let n be r(7). Let g = 2862\/13 - n. What is the nearest to -2\/3 in -1, g, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*f - 2*f - 76, -2*f + 61 = -s. What is the greatest common divisor of 128 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 - -5)) + (-7 - (-18 + 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -36. Suppose o*g = 6*g - 280. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/17 (b) 0.35 (c) 1\/2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + 403023124?\nAnswer: 403023021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (6 - -7) - (-2 - -12)) + 25\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 3. Let g be t(-4). Let n be (8\/4)\/((-12)\/178). Let x = n + 100\/3. Which is greater: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(56*q**3 + 23*q**3 + 53*q**3) + 35*q**2 - 22*q**3 - 35*q**2.\nAnswer: 242*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10751 and -20.\nAnswer: 215020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455055317.\nAnswer: 547, 831911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651748.\nAnswer: 2, 162937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*4*11\/(-44).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*x + 8, x + 4*x - 36 = -4*n. Suppose n*o - 5*p - 35 = 0, 5*o + 5*p - 85 = o. What is the remainder when 27 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**3 + w**2 + 0*w**4 + 2*w**3 + w**3 + w**4 - 4*w - 4*w as d*w + s + p*w**2 + x*w**4 + z*w**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3369280 and 558.\nAnswer: 940029120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 286 = 5*g - 36, 2*i - 184 = -g. Suppose 2*u = 5*p - 19, -p - 3*p + 20 = -4*u. Suppose -i = -2*v - p*v. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5223741629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/(z\/z**(-17\/2))*z**(2\/7)*z**(-14))**(-47) assuming z is positive.\nAnswer: z**(16591\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 2*n**4)*((-11 - 6*n + 11)*(-6 + 4 - 1) + n + 0*n - 3*n) - 17*n**5 + 37*n**5 - 4 + 5.\nAnswer: 52*n**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1595018.6 and 0.\nAnswer: 1595018.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**3\/6 - m**2\/2 + 10*m. Let k be u(-7). Let x = -3 - k. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 - 6 = 0. Let h = 40 + -34. Let u(p) = -p - 1. Let v(n) = 16*n + 11. Let w(q) = -5*u(q) - v(q). Let m(b) = 5*b + 3. Give h*w(z) + x*m(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65.81 and 0.3.\nAnswer: -19.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 8. What is f(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 4*g. Let w(s) = -s**2 - s. Let b(h) = -v(h) - 4*w(h). Let m(k) = -6*k**2 + 4*k - 2. Let i(o) = -5*b(o) + m(o). Determine i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*q = q + 112, -4*u = 2*q + 236. Let s = 54 + u. What is the biggest value in s, 5, -0.5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 604562130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1000110?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((6\/(-2))\/(-3)) - 432\/(-162). Put -1.2, 3, 5, o, -0.3 in descending order.\nAnswer: 5, 3, -0.3, o, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394\/3 - 2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31013183*f**4 + 1122208*f**2 - 23*f wrt f?\nAnswer: 744316392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-108)\/((-18)\/(-2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 348, 347, 346, 345, 344?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 35\/4*(11 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2163 (base 8) to base 12\nAnswer: -7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 4. Let w be n(-6). Let p = w + -6. Solve 2*z = 3*b + p, 2*z + 2 = -8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4240 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 122, 118, 114, 110?\n\"Answer: -4*s + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/2787 and 23.\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 4, q: 11, i: 1}. What is prob of sequence qi?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6.68267 + -0.3\nAnswer: -6.98267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 5*c + 5*c)*(1 + 0 + 0)*(-5*c + 8*c - 17*c).\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12314290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1916 + -640. What is the highest common factor of u and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.39336 - -0.00664. Let f = 85.172 + -0.172. What is the second smallest value in i, f, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*t - 29. Let b = t - 1. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a hour in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 3, u: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 25 = -14*w + 25*w - 3*w, 3*n = 4*w + 33 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238267323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30606, 30594, 30582, 30570, 30558, 30546?\nAnswer: 30534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/((-188760)\/22))\/(-11*(-22)\/(-1331))?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 8. Let k(j) = 2*j - 7. Let i(x) = -x**2 - 2*x - 2. Let c be i(-2). Let u(d) = c*k(d) - 3*w(d). What is the units digit of u(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.3, 65, -0.5, -13, 5 in descending order.\nAnswer: 65, 5, 0.4, 0.3, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 0*k)*(-5 - 2*k**2 + 5) - 2*k**3 + 6*k**3 - k**3 + 1 + 396*k**3 - 247*k**3 - 4.\nAnswer: 154*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -60*w - 981. Determine z(-18).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 - (5 - 8) - (-4 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.31 less than -1066?\nAnswer: -1022.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - s - 3. What is the smallest common multiple of 3 and n(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -l. Let q(g) = 1 - 2*g**l - 12*g**3 - 2*g + 8*g**3 + 0*g - 2. Calculate q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125429420 a multiple of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1181*t + 36 = -1177*t. Solve 3*q - t = -3*z, -4*z + 25 = -3*q - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 17.8. Let u = -0.77 + y. Let o = 0.33 - u. Which is the closest to 2\/5? (a) -4 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w = -70*w + 5*q + 241, -5*w - 4*q = 1100. Which is greater: 6 or w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2914, -2663, -2226, -1603, -794, 201?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7304.9 to the nearest 10.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - i + 17 = -6*i, -i = -1. Suppose -3*l - 4*x = -1857, -p*l + 2*x + 1224 = -20*l. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 17*c + 93. Let i be t(9). Suppose 0 = -3*l - v - v + 319, 204 = 2*l - 3*v. What is the highest common divisor of l and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) 20 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 4*s - 5. Let n = 26 + -24. Let o be ((-8)\/(-1))\/((-4)\/n). Give i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Suppose 5*h - r - 44 = -j*r, 3*r = 3. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 17 = -14*a. Suppose -3*h = -6*h + 279. Is 10 a factor of (h - (5 + -1)) + a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -0.1 (b) -34 (c) -16 (d) 2\/3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, c: 4, n: 5, m: 1}. What is prob of sequence mcc?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65.394347 and 4.\nAnswer: 261.577388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) 3762 (b) -10 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (8 + -28 + 3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = x, 3*x - 2*c - 11 = 2*x. Let g be 18\/(-12)*32\/(-6). Suppose g*n - 23 = 153. Solve 3*k - 2*t = -x*t - 7, -3*k = -2*t + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 3)*(-1)\/(-8). Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (2*(2 + -2 + 1 + sqrt(2736) + -5 + (0 + sqrt(2736))*4))**2.\nAnswer: -1920*sqrt(19) + 273667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 13. Let i(q) = 6*q - 17. Let k be i(-5). Let m = -42 - k. Solve -2*b = -0*b + 8, -m*a + b = z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.3. Let s = 0 - u. Let l = -1374 - -1377. Which is the closest to -0.2? (a) s (b) l (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 31*d**4 - 7*d**2 - 9*d + 2173. Let w(g) = -14*g**4 + 3*g**2 + 4*g - 1087. Let a(c) = 4*k(c) + 9*w(c). Differentiate a(i) wrt i.\nAnswer: -8*i**3 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 - 457*l**2 + 259*l - 1565. Determine d(-92).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(3025)*-2*1)\/(sqrt(35)\/(sqrt(7) + sqrt(7)*3) - sqrt(35)\/sqrt(7)*-3).\nAnswer: -528*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123803717 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-24)\/15*(-15)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 188*h**2 - 388*h + 196.\nAnswer: 4*(h - 1)**2*(h + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*p**2 - 189*p**2 - 156*p**2 + 107*p**2.\nAnswer: -365*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/(-273) + 130\/(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43872000 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 - 86*h**3 + 86*h**3 + (-3*h + 4*h - 3*h)*(-2*h**3 + h**3 + 3*h**3) + 49*h**4 + 1 - 1 in the form r*h**3 + w + x*h**2 + z*h + n*h**4 and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - s = -2*m + 54, -4*m - 5*s + 72 = 0. Suppose -q + 3 = -1. Suppose -2*r + m = 2*v, r + 26 = 4*r + q*v. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2649?\nAnswer: -2\/2649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6904 and 13808.\nAnswer: 13808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.45, -1126, -8, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {j: 2, p: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.5. Let i = 0 - 0.1. Sort y, 18, i.\nAnswer: i, y, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 0 - 9)\/(-2). Let f(i) = i**2 - i + 4*i - w*i. Let y(u) = 3*u**2. What is y(f(k))?\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143075049 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*q - 37 + 9 - 51*q + 18 + 10.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 426810256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.38 + 43. Let w = p - -16.78. What is w rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 25*x**3 - x**2 - x + 2. Let s(f) = 3*f**2 - f**2 - 1 + 3 - 3*f**2. Let h be s(1). Is a(h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/9))\/(s\/(s**(-5)*s)))**(-2\/13))**(1\/7) assuming s is positive.\nAnswer: s**(76\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36264, -145106, -326576, -580674, -907400, -1306754?\n\"Answer: -36314*d**2 + 100*d - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -30530031.\nAnswer: -12212012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 8*y + 14. Let d be z(6). Let h(a) = 4*a**2 + 2*a - 4. What is the lowest common multiple of 12*((-4)\/12 - -1) and h(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10*((-3)\/(-2) + -1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5910\/7 - 844. What is the fourth smallest value in -5, 4, -1\/44, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.153 - 15.3\nAnswer: -12.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432353 (base 6) in base 11?\nAnswer: 247a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 8, 2, -14 in decreasing order.\nAnswer: 8, 3, 2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114 or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 12\/(-4))*2\/4. Solve 0 = y*n - j, -2*n = -0*n + j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -171*z**2 - 107571*z - 7545. Calculate j(-629).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 435*i**2 + 8 + 8 - 4*i + 3 - 433*i**2 to the form d + n*i**2 + p*i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-35)*((-36)\/(-8) - -3). Which is the closest to 1.4? (a) 3 (b) v (c) 0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101101 + -10011011001101?\nAnswer: -10010111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 375805 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4464 and 186093.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-15)\/((-57855)\/14)). Let m = 553 + a. Solve 2*g = m*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1575, 3320, 5065, 6810, 8555, 10300?\n\"Answer: 1745*u - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5755144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 10\/7 (c) 20 (d) -1 (e) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*n - 1, -3*i - 5*n = 2*i - 25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1968\/55 - -178\/5. Let x = -9 + 6. Let u(o) = o**3 - 8*o**2. Let p be u(8). Which is the nearest to p? (a) x (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + z + 1. Let n(u) = 18*u**2 + 5*u + 7. Let p(y) = -6*a(y) + n(y). What is p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/(3\/((-180)\/8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1450*x**3 + 21 - 9 - 12 - 1455*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2008623.\nAnswer: 3, 19, 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 2199*5\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -38. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-180)\/22)\/3 + (-3 - -2) and -22\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) + (34\/(-21))\/((-792)\/462).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(70)\/(sqrt(35)\/sqrt(5)))\/(-3*3*sqrt(245)).\nAnswer: 2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - 147\/(-35)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 12*i + 23*i)*(4 - 2 - 4)*(0 + 1 - 2).\nAnswer: 74*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*a + 24, -o - 3*a - a = 13. Let y be (o\/(-2))\/(((-42)\/16)\/7). Solve 2*p - 5*z - 10 = -p, -y*p = -4*z - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 2. Suppose -3*t = -5*t + 3*o - 45, 0 = -3*t + o - 71. Let v be 8\/s*t\/(-2). Solve -v = 4*l + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2. Let s(z) = -z**2. Let r(j) = -4*k(j) + 10*s(j). Let b(t) = -22*t**2. Give r(b(q)).\nAnswer: 968*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 45. Let j be (27\/o)\/(6\/20). Let t(b) = b**2 - 7*b + 2. Determine t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 24208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12844 + 20?\nAnswer: -12824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)*(4 - 2). Let d(h) = -h**2 - 3*h + 1. Let m be d(x). Let n = 3 - m. Solve n = c - 5 - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7189, 30, 1324 in ascending order.\nAnswer: -7189, 30, 1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from jljrrrjiknrnrnj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 93 + 27)*(-3*m**3 - 3*m**3 + 4*m**3).\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-5 + 9) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1497407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 971 - 954 - 446.\nAnswer: -3*u**3 - 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*2\/(-56) - (-6)\/8.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4730.9786 to the nearest ten.\nAnswer: -4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v + 6. Let p(o) = 5*o + 3. Let y(u) = -u**3 - 8*u**2 + 8*u - 12. Let j be y(-9). What is j*c(z) + 5*p(z)?\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + w + 3*w)*(-97 - 6*w + 93 + 2*w) to the form y + l*w + d*w**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(300)*1 + -5)**2.\nAnswer: -100*sqrt(3) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326245 and 575294?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let l(h) = -18*h**2 + 54*h. Calculate l(x(k)).\nAnswer: -18*k**4 - 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 - 9*p + 5. List the prime factors of d(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 93.9. Which is the smallest value? (a) 3 (b) w (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/7, 1\/258 in descending order.\nAnswer: 2\/7, 2\/13, 1\/258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322102 - 30?\nAnswer: -322132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -2*a + a**2 + 0 + 76667\/2*a**3. Let u be h(-2). What is u rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195 - -6.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1081 + 1653. List the prime factors of f.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/84*(-6)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, a: 8, i: 1, w: 1}. Give prob of sequence mi.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 107, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43, -50, -49, -40, -23, 2?\n\"Answer: 4*o**2 - 19*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c - 1. Suppose -4*z + 10 = -2*y + z, 3*z - 12 = 0. Suppose -7*j - y = -2*j. What is the units digit of g(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6608 and 1475000.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - j**2 - 33 + 0*j**2 - 667 + 4*j - j**2 to the form i + t*j**2 + q*j and give i.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 25. Suppose 26*i - 154 = 12*i. Let n(v) = 9*v - 49. What is i*g(x) - 6*n(x)?\nAnswer: x + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4147, 4075, 3975, 3841, 3667, 3447?\nAnswer: 3175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/56 and 53\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2\/7 - 4248*z - 267948\/7 = 0.\nAnswer: -9, 7443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 649444*f**3*y**3 + 301*f**2*y**3 - 24*f**2*y**2 + 10*f**2 - 2*f*y**2 wrt f.\nAnswer: 3896664*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194695, 194697, 194685, 194653, 194595, 194505, 194377?\nAnswer: 194205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 less than 2853?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01496 or 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quo when three letters picked without replacement from odudqmd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 26 = -4*p. Let q(w) = -3*w + 39. Let h be q(p). Suppose h = 5*d - 1224 - 3161. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714 (base 12) in base 15?\nAnswer: 14da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2533*f - 301445. Determine z(119).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from ssssxsssxssssssssss.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 4*z - 63, 126 - 158 = 20*g + 4*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggddggmv. What is prob of sequence ddmv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160229547 plus -321.5?\nAnswer: 160229225.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u**2. Let b(t) = 47*t**2. Determine z(b(m)).\nAnswer: 44180*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213 + -2250123?\nAnswer: -2245510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/1)\/(1\/(-1)). Put 2\/17, s, 2\/7 in increasing order.\nAnswer: 2\/17, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 39 = -27*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = 3*c, 2*q + 3*c = -2*c + 6. Let m be 0 + (q\/2 - -1). Solve m = r + 1 - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 45*b**2 - 462*b + 868. What is p(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -311380 and -28.1?\nAnswer: 8749778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205.73167 - 0.03167. Let p = -217 + w. Round p to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*y - 2*h**3*y + 9430*h**3 + 2*h**2*y - 49*h**2 + h + 228*y wrt h?\nAnswer: 24*h*y - 12*y + 56580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1053) + -1)*-4 + 4*sqrt(1053)*2 + 2)*2)**2.\nAnswer: 288*sqrt(13) + 67396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 1 u when three letters picked without replacement from {y: 1, v: 2, u: 2, q: 2, w: 1, p: 7}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1666 + 1026. Let l = -644.19 - g. Let m = l + 0.19. What is the second smallest value in m, 9\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -41, -7, 51, 139, 263, 429, 643?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -683*s + 48. Let x be q(13). Is (x - 3)\/(14\/(-7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -5*v - 38. Solve -11*p - 5*p - 7*p**4 - 25*p**2 - 2 - 4*p**5 - 2 + 3*p**5 - v*p**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - x)*(-2*x + x - x)*(3*x + 0*x + 3*x)*(-4*x**2 + 2*x**2 - 3*x**2).\nAnswer: 60*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 0*j**3 + 5*j**3 + (0*j - 3*j**2 + 0*j)*(-12 + 1 + 2)*(-3*j + 0*j + 4*j).\nAnswer: 33*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95343*i + 95369*i - 190824*i + 3.\nAnswer: -112*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1010\/7 - 3\/(-63)*-6. Let t = -52 + u. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5821.08 litres to millilitres.\nAnswer: 5821080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**(2\/61)*(o**0\/o)**(-5\/3)*((o**5\/o)\/(o**2*o))\/((o*o**0)\/(o\/o**8)) assuming o is positive.\nAnswer: o**(-980\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 8025398 and 8025401 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t + 225. Is t less than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2381\/546 - -57\/13. Suppose 13*m + 257 = 236*m + 34*m. Put h, 5, m in ascending order.\nAnswer: h, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9 + 2*v + v**3 - 17 - 27*v**2 + 4*v**2 - 36. Let n be a(23). Suppose 4*z - 32 - 8 = -2*x, -3*z + 4*x + 41 = 0. Solve -3*f - z = -n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -25. What is the common denominator of 19\/6 and 108\/82*(n\/6 + -2)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191485867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120532, -121442, -122954, -125068, -127784, -131102, -135022?\n\"Answer: -301*v**2 - 7*v - 120224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 11 = 2*m, -4*d + d = -9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3236 + 1277 + 4225 = 514*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -75. Which is the closest to m? (a) -1 (b) 1\/6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348057*s*y**6 + 4*s*y**2 + 22*s*y + 108*s + 2*y**6 - 3*y wrt y?\nAnswer: -41766840*s*y**3 + 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377 + -377. Suppose 46*c + 51 - 189 = p. Solve 5*w + 8*k - c*k + 45 = 0, 3*k = 4*w + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 220487 and 375.24.\nAnswer: 220862.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1018, 2020, 3016, 4006, 4990?\nAnswer: 5968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {l: 2, i: 4, s: 1, f: 2, h: 6, b: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (306\/1989)\/(4\/(-26))*61?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 657551040 to the nearest 100000.\nAnswer: 657600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33562 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/3, 0.2, 5\/4, -6\/13 in decreasing order.\nAnswer: 5\/4, 1\/3, 0.2, -2\/5, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 28*b**2 - 8*b + 2. Let p be w(-6). Suppose -538 = -2*a + 5*n - 121, 3*n - p = -5*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(480)\/(sqrt(20)\/sqrt(2)))\/sqrt(2))\/(-2*sqrt(216)\/sqrt(2)))*1.\nAnswer: -sqrt(2)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**3\/6 - 3*l**2\/2 - 13*l. Let c = -8 - -13. Let r be v(c). Let y(o) = o**3 - 4*o**2 + 4*o - 3. Calculate y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.115 and 10?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, -2, -1145, -5 in descending order.\nAnswer: 27, -2, -3, -5, -1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 8*o**3 + 51)*(72*o + 0 - 52*o - 1).\nAnswer: 160*o**4 - 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + z + 8. Let d be t(0). Suppose -4*j - 4*m = -d, 4*m - 6*m = -j + 11. Solve -u + 2*l = 4*u - 7, -u = j*l - 23 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/26*260\/468*6\/5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156 (base 7) in base 14?\nAnswer: -22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 610\/8 + 1\/(-4). Let l = a - 44. Suppose 0 = 2*v - 5*v + 240. What is the greatest common divisor of v and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/48)\/(10\/15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -651, -1303, -1955?\nAnswer: -2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 8 = 3*b + 2*r, 3*b + 4*r = 28. Suppose -13 = c - 3*d, 3*d - 15 - 8 = -b*c. Solve c = -2*y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/40 + g**5\/20 + 2*g**4 + 10*g**3 - 21*g**2. Suppose w(k) = 0. Calculate k.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428 + -424. Sort -103, -5, k in ascending order.\nAnswer: -103, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 9*p**2 - 8*p - 8. Let o(g) = g**2 - 166*g + 6864. Let i be o(87). What is v(i)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 174657, 351755, 528853, 705951?\n\"Answer: 177098*d - 2441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 11*q**2 + 27*q + 11. Determine n(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 + 1043592*g**2 + 90839409471*g + 14326586298666 = 0.\nAnswer: -173853, -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 - l + 5. Let z be m(5). Let f = z - 87. Let x be (-3389)\/3 + f\/57. What is x rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 - -10) + 1*7. Suppose -5*n = -q - 26, s*n - 4*q = -q + 18. Solve 2*y + 17 = -n*k, -4*k - 2 = 3*y + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:39 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61707403?\nAnswer: 103, 137, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15946 is divided by 1560.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -33 - f + 10 + 19 + 2 + f**3 + f. Suppose 5 = -n, 3*i - i + 5 = -n. Calculate s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-80)*76\/(-57)*38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 1:44 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 20*p**2 + 23*p + 20. Let u(w) = -w**3 - 10*w**2 - 2*w + 6. Let t be u(-10). Suppose -23*j + t*j - 63 = 0. Is 31 a factor of o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1041.\nAnswer: -2\/1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p)\/p**4)\/(p**(-2))**50 assuming p is positive.\nAnswer: p**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46884, 93774, 140666, 187560, 234456, 281354, 328254?\n\"Answer: a**2 + 46887*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (20\/5 + -5 - (-65 - -58))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*b - 3096 = 5*b. What is the remainder when 294 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(39*q - 19*q - 21*q - 26*q) in the form y + a*q and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100101100101110 (base 2) to base 14.\nAnswer: -30ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u = 380. Suppose -2*i - y = 2 + 4, 2*y = i + 3. What is the remainder when u is divided by 2*i\/6 - -40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-15) + (-74)\/(-6). Calculate the common denominator of -59\/4 and ((-2)\/(-16))\/(k\/(-688)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:09 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = -48 - 42 - 8 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*f**2 - 1 - 15*f**2 - 7*f**2 - 11*f**2 - 58*f**2 + f to y*f + i*f**2 + m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -2, 4\/5, 2\/5, -0.1 in descending order.\nAnswer: 110, 4\/5, 2\/5, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 - i**2 - 25*i\/4 + 7.\nAnswer: (i - 7)*(i - 1)*(i + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -1.2. Let s = -85 + 125. Let k = 37 - s. What is the second biggest value in k, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171018 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -54. Let c = 18.06 - i. Let p = -0.0601 + c. Round p to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2 less than -85251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, 28, -1\/14, 0.5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868217 is divided by 753.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/55? (a) -15\/8 (b) -2 (c) -11 (d) -1\/2 (e) 4\/3 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2232 and 36160353.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1050 and 13335?\nAnswer: 133350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-10 - -3) + -3 + 5 + -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 5*m**4\/12 + 5*m**3\/2 - 3*m + 14. Let q(j) be the first derivative of t(j). Factor q(n).\nAnswer: 5*n*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5445, 10872, 16289, 21690, 27069, 32420?\n\"Answer: -l**3 + l**2 + 5431*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/(12\/18). Let w(q) be the third derivative of 0*q**3 - 2*q**2 + 5\/12*q**4 + 0 + 0*q. Calculate w(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 - 26*m + 81. What is the remainder when 348 is divided by n(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + 551010004?\nAnswer: 551010035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 + 6*z - 7. Calculate c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -12266682.23321?\nAnswer: 12266683.23321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 1534.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 188486 and 6572.\nAnswer: 1238729992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 146 + 290)*(4*x - x - 2*x)*(-2 + 1 + 2).\nAnswer: 411*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*d - 12, -3*d = d - z - 10. Suppose -3*x = -2*u - 24, -x + 9 = -3*u + 2*u. Suppose -j = -x*j + 5. Calculate the remainder when d is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-30))\/((-94)\/(-376))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -590*v**2 + 220*v. Calculate q(2).\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*j - 21, 5*j + 42 = -0*l - 2*l. Let m = l + 8. Let k be ((-9)\/2 + 5)*-28. Is m != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + 52*i + 59. Suppose -112 = n + 8. Let v = -69 - n. Calculate the remainder when v is divided by k(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12655918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -19. Calculate the highest common factor of m and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.005 - -3.205. Let a = q + -5.5. Let f = a + 6.3. What is the biggest value in f, 0.3, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 20*s**5 - 164*s**4 - 808*s**3 + 7368*s**2 - 12780*s + 2268 = 0.\nAnswer: -7, 1\/5, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 2\/15, -5, 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 944 - 925. Let f(s) = s**3 - 5*s**2 + 5*s + 28. Is f(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -16. What is the third derivative of s*h**4 + 3*h**2 + 94*h - 94*h wrt h?\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248774.\nAnswer: 2, 173, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34730\/(-28600) + 12\/(-2). Let x = d - -627\/65. Find the common denominator of (-6)\/14 - 286\/280 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -9. Suppose v*o - 20 = -8. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + 34. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 861 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(4 + 1\/((-45)\/185)). Let a(f) = 9*f + 0 + 2*f - 3. Let j be a(2). Calculate the greatest common factor of j and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - r**3 - 5 + 5*r**3 - 3*r**3 - 2*r**3 to y*r**3 + s*r + i + l*r**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 33 = -6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4706 and 4.\nAnswer: -4702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 v, and 1 f when four letters picked without replacement from qqvqqfqqvfiviiqq.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -424420134 (base 5) to base 10.\nAnswer: -1795044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v, -21 - 6 = 3*z - 3*v. Is z\/(-18) + (-817)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**4\/2 + 2*z**3 - 2*z**2 - 14*z + 5. Is q(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 + -3?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/300 and 73\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8*8 + 0. Find the second derivative of -13*p + 44*p - 220 + 8*p**q + 221 wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(-2*sqrt(700)*-3 + (sqrt(700) - 1*sqrt(700)*1)))**2 + (sqrt(700) - (-5*-2*sqrt(700))**2 - (1 + (2*sqrt(700))**2))*5.\nAnswer: 50*sqrt(7) + 543196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*f + 48 = -245*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11230 (base 8) to base 14\nAnswer: 1a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v + 24. Let u be l(5). Calculate the remainder when 39 is divided by 8\/(-16)*(u - 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 73*a**6\/15 - 3644*a**2 - 6059*a. Find the first derivative of s(y) wrt y.\nAnswer: 584*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73 - (-4 - -5 - 5)) + -822 + 812?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -935 (base 13) to base 10.\nAnswer: -1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133.62 - 133.619993353. What is z rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37941215?\nAnswer: 5, 13, 197, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 426 = -444 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -13. Let t = k + 0. Suppose 6*r + t = -3*n + 4*r, 4*r = 3*n - 16. What is the closest to n in 2\/15, 1\/4, -1\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -3. Solve -c*t = 3*o, 8 = -t + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(190\/(-20))*1*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -41, -75, -119?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*v - 395 = -1303 - 916 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 + 8394*o**2\/13 + 8368*o.\nAnswer: 2*o*(o + 13)*(o + 4184)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 3*h - 10. What is f(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 35. Suppose -o = -2*u + u. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**2 + 0*u - 2\/9*u**3 + 0*u**4 + 0 + 2\/9*u**5.\nAnswer: 2*u**3*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.37 - 935429453?\nAnswer: -935429425.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/30 + t**4\/8 - t**3\/6 + t**2. Let v(q) = -3*q - 3. Let a be v(-2). What is i(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*k + 8*k**2 - 24*k)*(3*k - 3 + 3 + 2*k**2) to r*k**3 + s*k + a*k**4 + w*k**2 + f and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*g - 12 = 0, -3*g = 3*p - p - 5. Calculate the lowest common multiple of 5 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 11:42 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -182*t + 186*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h - 1. Let p be i(-1). Sort p, -3, 1 in ascending order.\nAnswer: -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {y: 7, d: 1, i: 5, h: 1}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -16*k**3 - 2*k**2 - 2*k - 1. List the prime factors of d(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7345 - -7360. Let y be (-18)\/(-12)*110\/3. What is the highest common divisor of s and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-148)*(-12)\/10)\/((-4)\/(-10)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 9*t**2 + 5*t + 16. Let d be l(8). Which is smaller: -9 or d?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/5 - 14*a**2\/5 + 64*a + 520 = 0. What is a?\nAnswer: -10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*j - 18 = -5*u, 0 = -4*j - 4*u - 8 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163066 - -12556307\/77. Is 4 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2, -4, 19, 1254, 3 in decreasing order.\nAnswer: 1254, 19, 4, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubz when three letters picked without replacement from ubbzzzzzuzubb?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 301429 greater than 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 228 - 146 = 0. Solve -r*h = -37*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.03 - -0.03. Let i = -3 - -4. Which is the closest to i? (a) 1\/2 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u. Let z(f) = 32*f**2 - f - 3. Let x(l) = -9499*l**2 + 299*l + 897. Let m(q) = 2*x(q) + 598*z(q). Give m(h(p)).\nAnswer: 6762*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - 853\/5. Is -3 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 6*h - 9*h. Suppose -3*s + 7*s - h = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324810406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahhayoajhjh. Give prob of sequence joh.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19246*o - 2719. What is the tens digit of x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -413*z**2 + 406*z**2 + 2*z**3 + 24*z - 2*z**3 + 5*z**3 - 73. What is the hundreds digit of x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(143) - 2*sqrt(143))*-2)\/(sqrt(1331) - -2*sqrt(1331)))**2 + -2 + (-3*sqrt(104))\/sqrt(8)*-3.\nAnswer: -5393\/1089 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 m when three letters picked without replacement from {o: 1, x: 1, m: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/17 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-384)\/(-420) - (-2)\/7. Let b(d) = d**2 - 9*d + 8. Let j be b(8). Are z and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -441 + 445. Solve -14*k - c = 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 9 - 3)*(-r - 1 + 1)*(4 - 1 + 6).\nAnswer: 54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17)**(-1\/65)*q**(-1)*q**(-1\/37) assuming q is positive.\nAnswer: q**(-3099\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5)*(0 - -2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:22 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-5292)\/(-8))\/9 + -4)*-2. Let h = -135 - l. Solve h*q = -8 - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, -4\/7, 2.\nAnswer: -181, -4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -3*f + 98. Let c = 78 - f. Find the second derivative of -6*w**c + 9*w - 5*w**2 + 18*w wrt w.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 + 1085*l + 2*l**2 + 304 + 1090*l + 1085*l - 3260*l.\nAnswer: 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 6*t - 5*t + (-1 + 1 - t)*(0 + 1 - 2) - t - 2*t + 4*t - t + 0*t + 0*t + (-2 - 2 + 6)*(-4*t + 2*t + 0*t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 3*sqrt(114)\/(sqrt(486)*-5)).\nAnswer: 4*sqrt(19)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 3, j: 2, u: 4}. Give prob of sequence jj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(-6\/17) assuming n is positive.\nAnswer: n**(-30\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157 + 349. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 232 - 523700?\nAnswer: -523446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/10 + 82291*k**3\/10 + 288141*k**2.\nAnswer: -k**2*(k - 82326)*(k + 35)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*l + 2*t - 80, -43*t - 5 = -2*l - 40*t + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 235292*i**3 + 117647*i**3 + 117643*i**3 + 130*i**4 - 4*i in the form g*i**3 + b*i + p*i**4 + k*i**2 + d and give p.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -340 + 1702\/5. Let u = -0.035 - -0.135. What is the third smallest value in l, -4, u, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = 2*u - 14, u = -3*y + 16. Suppose -34 - y = -4*t. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 27. Let y(c) = c**3 - 4*c**2 - 7*c + 2. Let t be y(5). Let l be i(t). What are the prime factors of (-2)\/l - (-62)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1) + -6 - -3. Let m be (-14)\/s - (-4)\/6. Solve 0 = -2*t - o + 6, -m*o - 2*o - 6 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/(139\/(-4170))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efqq when four letters picked without replacement from {m: 3, e: 2, q: 3, c: 10, f: 2}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 963991 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: Three letters picked without replacement from {w: 1, l: 7, k: 2, p: 4}. What is prob of sequence plp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 10) to base 14\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2417 divided by -5.\nAnswer: 2417\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116 and 0.5617?\nAnswer: 65.1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 177185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - (-1911866 + -10)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 10*d**3 + d**2 - d + 18. Is 4 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 6. Let z be s(6). Let q be 1062\/(-27) + 4\/z. Let h = q + 877\/22. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 14*m = 17*m - 10, -3*m + 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -12*q**5\/5 + 12*q + 4. Differentiate g(c) wrt c.\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07005 * -17226\nAnswer: 1206.6813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**41)**(1\/24)\/(((d*d\/(d*d**0))\/d)**(-50)*(((d\/d**(-3\/4))\/d)\/d)\/(d**(2\/5)\/d)) assuming d is positive.\nAnswer: d**(37\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 2*o - 11. What is the remainder when 29 is divided by ((-15)\/6)\/(6\/o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = p + 1. Let r = p - -4. Let i(y) = -6*y**3 + 1. Let f be i(1). Sort f, 0, r in descending order.\nAnswer: r, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286*-0.5.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*m + 14, 0 = 5*q + 3*m - 22 - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, -0.1, 159, 0.04, 0.1 in descending order.\nAnswer: 159, 2\/3, 0.1, 0.04, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45354*d*f**2*w**2*x - d*f**2*w**2 + 16*d*f*w**2*x + 2*d*f*w*x + 23*d*f + 2*d*w**2*x + f*w + 2*w**2*x wrt f?\nAnswer: 90708*d*w**2*x - 2*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 42 - 2 = 0. Find the second derivative of -q*s + 4*s - 3*s**3 + 2*s**3 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 497 - 487. Which is bigger: z or 67\/6?\nAnswer: 67\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 - 10503*d**4 - 405702*d**3 - 2242608*d**2 + 2658816*d = 0. What is d?\nAnswer: -3462, -32, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 201266 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m**2 - 150*m**2 + 500*m**2 - 161*m**2 - 116*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*b + b. Let r = b + -4. Let v(t) = -t**3 - 71*t**2 - 3*t - 209. Let y be v(-71). Solve -d - 6*z = -z - r, 3*z = -2*d + y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7914421.\nAnswer: 7914421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*l**3 + 2 - 35*l**3 - 604*l - 29*l**3 + 157*l.\nAnswer: 59*l**3 - 447*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 4, 50, 105, -2\/37, -0.4, 3\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36840107*m + 45060681.\nAnswer: -36840107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1592 is divided by 132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 350068231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 11*a**2 - 5*a + 1. Suppose -9*z + 22 = 67. Let v be s(z). What is the greatest common factor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 5*w - 10*w)*(2 + 0 - 6)*(-2*w + 2*w - 3*w**2) as s*w**2 + k*w**3 + y + c*w and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68229\/74 - 922. Let x = 137\/814 + q. Let o = -10 - -10. Put x, o, -5 in descending order.\nAnswer: x, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70380 or -76754?\nAnswer: -70380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155699 is divided by 155690.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 17. Let b be 1\/((3\/42)\/1). Let p be c(b). Suppose 2*u - 3*u = -p*u. Solve a + a = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 740020 = 5*n, 5*n = -2*k + 7*k - 3700020. Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116712251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b - 27. Let h be w(-6). Solve -5*z + 5*a = -15, a = -z + h*z - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2676 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 5*x + 4 + x + 2*x**2. Let h(q) = -3*q**2 + q - 9. Let d(u) = -10*u**3 - 588*u**2 + 116*u - 116. Let c be d(-59). Give c*h(l) + 5*y(l).\nAnswer: 4*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2278105 divided by -59.\nAnswer: -2278105\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 10232*r + 6543364.\nAnswer: 4*(r - 1279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21\/190?\nAnswer: -21\/190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/10026330 and 113\/682.\nAnswer: 110289630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*f**3 - 173*f**3 + 252*f**3.\nAnswer: 365*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 22. Suppose 3*b - 12 = -5*f + o, -3*b = -3*f + 27. Let p be (-1)\/(-1)*(7 - f). Calculate the greatest common divisor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/60 - 8*m**3\/3 + 9*m**2. Let z be k(4). Solve 10 + z = 2*w, -36 = 4*o - 4*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74 or 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12294 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60 + (-4 - -4))\/(-1). Let h be (-2)\/(2 - i\/35). Let q(o) = o**3 + 8*o**2 + 7*o + 8. What is q(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470673 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - u**2 - 6*u**2)*(9*u - 2 - 1 - 10*u).\nAnswer: 2*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 6:09 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1 + 8 - 11 + 5*c. Let d(h) = 9*h - 7. Calculate -4*d(x) + 7*v(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126532, 129835, 133138, 136441?\n\"Answer: 3303*f + 123229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/648*(-3 - (-2 - 77))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2 + 6*s**2 - 1 - 3*s**2 + 2*s + 1. Let c be k(-2). Let x = 20 - c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -32*s**2 + 8*s - 25. Let y be h(5). Let n = -171 - y. List the prime factors of n.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -746, -751, -754, -755?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {w: 11, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = h - 20. Suppose -3088 = -40*r + h*r. What are the prime factors of r?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14157.6857 rounded to the nearest 100?\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*0\/(-2). Let z = -824 - -824.3. Sort z, d, -2\/7 in descending order.\nAnswer: z, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, 467, 1418, 2757, 4490, 6623, 9162?\nAnswer: 12113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 48?\nAnswer: -23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*y + 121*y - 163*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(441))\/(((-1*sqrt(6))\/sqrt(2) - sqrt(3)) + sqrt(3)).\nAnswer: 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - 6\/2)\/(8 - 6). Suppose -345 = -2*s + 5*f, -45 + 528 = 3*s + b*f. What are the prime factors of s?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 82 - 160 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3757 from 44.577.\nAnswer: -3712.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4\/4 - 9*u**3\/2 + 30*u**2 + 62*u + 5. Let v(l) be the first derivative of a(l). Factor v(z).\nAnswer: 3*(z - 5)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6156\/540*(-70)\/(-18))\/((-28)\/(-4))?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - 53*d**4 + 619*d**3 + 2185*d**2 + 2296*d + 784.\nAnswer: (d - 28)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439832290?\nAnswer: 2, 5, 13, 73, 173, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24307453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -269486625, -538973248, -808459871, -1077946494?\n\"Answer: -269486623*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*u**3 - 2044*u**2 - 5280*u - 4032.\nAnswer: -4*(u + 7)*(7*u + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -352\/905 - 2\/181. Let r = 0.11 - -7.89. What is the second smallest value in -4, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3467.82 - 3468. Which is the third smallest value? (a) 4\/9 (b) x (c) 2\/7 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (4 + -7)) + 32 + -58.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -7\/16, 0?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*t + 23, 2*h - 25 = -t - 6. Let v(x) = -3*x + 8 + 9 - h + 8*x. Is v(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 16. Let k = -39840 - -39840. Sort 4, 3, g, k in descending order.\nAnswer: g, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-3 + 3*p + 3)*(0 + 1 + 1).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1304\/2445)\/(29\/((-725)\/(-1080))).\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -47. Let y(k) = -k**3 - 3*k**2 - 3*k - 1. Give y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -9223559.\nAnswer: 350495242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose -k - r*k = -129. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 128 = -528. Let l = 1904 - 1894. What is the greatest common divisor of l and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -s - 4*s. Let k(u) = 44*u + 38. Let v be k(-19). Let a = -780 - v. Calculate the remainder when s is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 4. Let h(j) be the second derivative of -j**3\/6 + 4*j**2 + j. Let v be ((-33)\/9)\/(4\/(-12)). Let f be h(v). Determine t(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-42) + (-5)\/15. Let h be 3\/4 - (-1470)\/(-40). Let d = 32 + h. Put 4, q, d in decreasing order.\nAnswer: 4, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 14, 55, 134, 263?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 6*s**2 + 12*s - 34. Let v be j(-8). Let z(d) = -2*d**3 - 3*d - 1. What is z(v)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/465*-100*7\/((-840)\/(-25))?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 33*z**4\/4 + 51*z**3\/4 + 3*z**2\/4 - 15*z\/4 = 0?\nAnswer: -1, 0, 5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4 = -5*h - 27, m + 13 = -3*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1557 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -11. Let d be m + (-7 - (-1 - 0)). Let c be (-19)\/(-3) - (-1)\/d. Which is bigger: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -g - 58 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1. Let q(f) = 2*f - 4. What is q(b) - 3*v(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 2*a**2 + 2. Suppose 4*h - 12 = -0. Calculate the smallest common multiple of s(h) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -20\/19 (b) -1 (c) -0.5 (d) 145 (e) 16 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 602 (b) 2185 (c) 0.3 (d) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-12)*(36 + -28). Let w be (-2275)\/(-39) - (-14)\/y. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32307\/(-4620) - 7*-1. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 + 6 - 189\/(-39). What is the second smallest value in 5.3, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-27)*z)\/(z\/(z**(-15\/7)\/z*z)*z) assuming z is positive.\nAnswer: z**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4\/7, 4, 2, 25?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 5. Let o be b(4). Suppose -3*d - o = 3*p, 2*p - 6*p - 33 = 3*d. What is the units digit of -10*(3\/p + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31241, -30897, -30553, -30209?\n\"Answer: 344*s - 31585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**2 - 20*a + 336 = 0.\nAnswer: -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36962 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjnjjjj. What is prob of picking 3 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31460, 62925, 94392, 125861, 157332, 188805, 220280?\n\"Answer: q**2 + 31462*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5962, 12036, 18358, 25060, 32274?\nAnswer: 40132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.06 + -51.86. What is the third smallest value in -80, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*p + 3*q, 3*p + 2*q - 2 = 2. Let j = 8 + -5. Suppose 5*y - 25 = j*f + 2, f = -4. Put -5, p, y in descending order.\nAnswer: y, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 2. Let p be j(-4). Sort 1, p, 0 in decreasing order.\nAnswer: 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 35 = -r, 4*v + 3*r = -0*v + 28. Suppose -5*q + 4*y + 123 = 0, -4*q + 18 = -3*q - 3*y. Calculate the remainder when q is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l*l**8)*l*l\/(l**(-2)*l))**(-9)*(l*l\/l**(-2\/5)*l)**30*((l\/(l*l**2\/l))\/l)\/l**(-1\/8) assuming l is positive.\nAnswer: l**(1017\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.2 and -7789.84.\nAnswer: -204093.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.3047 millennia in months?\nAnswer: 5607656.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51179*z**3 + 210*z**2 - 52.\nAnswer: -307074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303241 - -10?\nAnswer: -303231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x + 0*x**3 + 2*x**3 + 2*x**2 + 9*x**4 - 2 + 4*x**2 - 3*x**2 - 15*x to the form i*x**2 + d*x + m + u*x**4 + s*x**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 18 - 27 = 0. Let h(l) = 3*l - 4. Let g be h(m). Suppose 3*y = -9, 5*y + 6 = g*c - 34. What is the least common multiple of 1 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = h - 52, 0*w - 2*w - 42 = 4*h. Let i be (1 - -69)\/((w\/(-5))\/5). Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.0374 rounded to one decimal place?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 809*u**3 - 68*u**2 - 5 wrt u.\nAnswer: 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148310 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 + 10*h**2 + 196*h + 4*h**2 - 74*h**2 + 17*h**2.\nAnswer: -25*h**2 + 196*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 10*q**3\/3 - 7*q**2 + 3. What is the second derivative of p(m) wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6819 + 5641. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 - 3*z + 5. Let a(h) = h**2 - h - 1. Let w(s) = 3*a(s) + g(s). Let p(d) = -d - 2. Let c be p(3). Calculate w(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = k + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + (-763)\/(-21). Let m be 64\/u + (-4)\/(-18). Let d = 8 - m. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/3, 47, 0.2, 0, -3 in increasing order.\nAnswer: -3, -1, -2\/3, 0, 0.2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16934719491 + -5\nAnswer: 16934719486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 51*y**2\/2 - 252*y + 702.\nAnswer: -(y - 39)*(y - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*h - 18 = 0, 0*t - 2*t + 3*h = -16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*q + 4*q - 9 = 0, 15 = 5*w + 3*q. Suppose 0 = 5*h - 0*h - m - 27, -w*m + 15 = h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-4)\/(-2))*5. What are the prime factors of (-12)\/2*-89*u\/10?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 42. Which is smaller: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 88?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-418)\/110 + 16\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**5\/2 - v**2 - 3*v + 7. Let y(w) be the first derivative of t(w). Differentiate y(a) with respect to a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.41 - 0.11. Let p be -4 + (3 - ((7 - 2) + -8)). What is the third biggest value in 11\/3, p, 5, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 4:10 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*r + 80*r + 58*r - 404*r.\nAnswer: -597*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1955864*x**4 + 623676*x**2 + 3*x + 2 wrt x.\nAnswer: 46940736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 36, 4, 3, 79.\nAnswer: -199, 3, 4, 36, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 418836457 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12 + 34*c**2 - 34*c**2 - 15*c**3 wrt c?\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.1. Suppose 3*g = 3*b - 6, 0 = 5*b + g - 2 - 20. Suppose -5*f - b*n = -0*f - 32, -4*f - 2*n = -22. Sort -3, u, 0.5, f in increasing order.\nAnswer: -3, u, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 5*r**3 + 0*r**2 + (r**2 - 1 + 1)*(-r + 4*r - r) - 4*r + 4*r + 3*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1292871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 <= -489\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56, 70, 100, 152, 232, 346, 500, 700?\n\"Answer: b**3 + 2*b**2 + b + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 168*o**2 + 86*o**2 + 88*o**2)*((1 - 3 + 3)*(1 - 5 + 3) + 158 - 20 + 92) in the form s + x*o**2 + t*o and give s.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58441289 to the power of 1\/2, to the nearest integer?\nAnswer: 7645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3275)\/(-5240))\/(45\/1134)\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 200, 294, 386, 476, 564, 650?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4 - 2909*s**3\/6 - 5710*s**2 - 17054*s - 45392\/3 = 0.\nAnswer: -2837\/6, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1300377.\nAnswer: 2\/1300377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/36*(-40)\/(-10)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70225899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - 9*u + 3*u - 3*u to a + l*u and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m - m + m - 2*m - 6. What is the lowest common multiple of (12\/5)\/((-2)\/(-10)) and q(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2 + 2)*(-1 + 3 + 0) + (3 - 7 + 2)*(0*u**2 + 2*u**2 - u**2)*(-282 - 214 - 16) - 3*u**2 + u**2 + 5*u**2.\nAnswer: 1031*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 80 = 9*k. Calculate the highest common factor of 20 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23233024 by -1.\nAnswer: 23233024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9145 to 2 decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 557, 3\/8, 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f + 354 = 3*p, -2*p - 3*f + 247 = 0. Suppose 0 = 2*x - 2421 + 377. Suppose -2*g + 3*u = -x, 3*u - 374 = -g + p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c*(c**(-4\/5)\/c)\/c*c)\/(c**11\/c**10) assuming c is positive.\nAnswer: c**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 513 = -117*p + 27*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/10 + 10\/(-25). Suppose y = 3*w - 2. What is the derivative of 9*t**3 + 5 + 4*t**3 - 8*t**w wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*b - 19. Suppose -8*x + 8 = -4*x, 0 = b*o - 4*x + 8. Solve o = -3*y - a + 1, 0*a + 3 = y + a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 15*t - 1. Calculate g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518 = 30*z - 210*z + 65*z + 41*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 3336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 11*g + 4*k + 484, -655 = -5*g - 5*k. Let p = 132 - g. Solve -2*b + 2 = 0, 3*w = 3*b - p*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**15)\/((m*m**(2\/41)*m)\/m))\/((m*m**(2\/17))\/m)**4 assuming m is positive.\nAnswer: m**(10790\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8876018 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: Sum 3 and 28.4023296.\nAnswer: 31.4023296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*w = -19, -w = -x - 4*w - 13. Let d = -2 + 4. Find the second derivative of x*r**2 - r - d*r + r wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44933 - 44934. Put 5, 9, p, 0, -13 in descending order.\nAnswer: 9, 5, 0, p, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -47, -58, -71, -86, -103?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -23*i - 112. Let n be b(-5). Let o be ((-2)\/n)\/((-4)\/((-48)\/212)). What is the third smallest value in o, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 14. Let n(s) = 4*s - 28. Determine 3*n(b) + 7*v(b).\nAnswer: -2*b + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 70, 31, 1\/3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -65*w - 10 + 19 - 3 - 10. Let o be h(-5). Suppose 2*f + 2*t = 367 + o, 5*t = 4*f - 1331. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 41.68022?\nAnswer: 42.08022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-24*y - 28021*y**2 + 8*y + 28051*y**2)*(-6 + 5 - 2).\nAnswer: 180*y**2 - 96*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -84*i + 273. Let k(m) = -50*m + 289. Let d be k(6). What is the thousands digit of h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.455 * 3.\nAnswer: -16.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27429, -27431, -27435, -27441, -27449?\nAnswer: -27459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-6)\/21 + -11 + 1728\/140)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**3 + 3*a**2 - 2*a - 2. Let y(p) = p**3 + p**2 + p + 1. Give j(x) + 2*y(x).\nAnswer: -2*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 303 + 487 = 0. What is the remainder when z is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1419130308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:05 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106623?\nAnswer: 3, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105364439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let g(r) = 12*r - 70. Let f(m) = -m + 3. Let s(k) = 22*f(k) + 2*g(k). Determine s(a(z)).\nAnswer: 2*z - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 149, 159, 169, 179, 189?\n\"Answer: 10*h + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5239 + 17.7994. What is n rounded to one decimal place?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 14*h - 320. Give d(-23).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 291\/144676 or -1?\nAnswer: 291\/144676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1323304035 (base 6) to base 9\nAnswer: -32723185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*m**4 - 1743*m**2 + 311449*m?\nAnswer: 228*m**2 - 3486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from cbfrm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2335, 8973, 19993, 35389, 55155, 79285, 107773?\n\"Answer: -b**3 + 2197*b**2 + 54*b + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.26 + -0.26. Which is greater: d or -0.18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 9*k + 3. Let v = -18 + 28. Let n be t(v). Let x = n - -17. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -750*o - 25. Calculate the remainder when p(-2) is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -2.68?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331.7*-234.\nAnswer: -77617.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 447 = -141*v + 2266 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 3:07 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1421579*a**2 - 45981595?\nAnswer: 2843158*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2387, -4442, -6497, -8552?\n\"Answer: -2055*a - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 19. What is the smallest common multiple of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 14. Suppose 4*x + 5*p - 17 = 27, 5*x - z = -2*p. What is the least common multiple of x and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 8*g - 5. Suppose -12 = -2*v + 2*u + 10, 2*u + 13 = v. Calculate i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26705631 divided by 6\nAnswer: -8901877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/4 (b) 0.5 (c) 0.05 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/120 - 2*d**5\/15 - d**4\/8 - 3*d**3\/2 - 23*d**2. Is q(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-55 + 56 - 9) - (1 + -19 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30 - (-6 + 21) - 26) + (-1 - 2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {u: 3, z: 1, i: 3, s: 1, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 28*k + 12 = 0. Suppose -a = 3*j - 2*j - 21, -2*j + a = -36. Let v = 31 - j. What is the highest common divisor of v and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (528\/(-1452))\/(5*(-12)\/240)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-42))\/((-1)\/2). What is the second biggest value in d, -2\/17, -3\/8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngnngngnnggnn. What is prob of sequence ngg?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from {u: 8, i: 8, k: 1}?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85144758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 125*q**3 + 0 + 41*q**3 + 86*q**3 + 1.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-30)\/(-54)*-6))\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1505 = -5*m, -3*m = 3*a + 2*a - 1489. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 726 - 670. Solve 11*f - 3*f = -v for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (28 - ((-44 - -12) + 0))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1075*t**5 - 787*t?\nAnswer: -21500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 509686 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 861 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2587213030?\nAnswer: 2, 5, 337, 443, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j - 1. Suppose d - 1 = 3. Is q(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 7 + 4. Let i = -10411 - -10417. What is the least common multiple of i and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -98. Let j = z + 106. Suppose -j + 42 = -5*g. Solve g = q - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53312 and 320?\nAnswer: 266560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129784?\nAnswer: 2, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -6404 in increasing order.\nAnswer: -6404, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2+6.647\nAnswer: 4.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 3aa890?\nAnswer: -3aa8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 62563 + 17891. What are the prime factors of l?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003973771 rounded to 6 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -3\/7, -0.08, -2 in decreasing order.\nAnswer: 1\/10, -0.08, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -224755 (base 8) to base 3\nAnswer: -10212121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3301112 - 12?\nAnswer: 3301100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/5))**(-47)*(c*c\/c**(-8)*c)\/(c*c**3) assuming c is positive.\nAnswer: c**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107, 793, 2099, 3817, 5953, 8513, 11503?\n\"Answer: j**3 + 197*j**2 + 302*j - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + c + 1596 = 0, -4*a + 2*c + 2127 = c. Let f = 1287 - a. Suppose 822 = 6*h - f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 times -18.37\nAnswer: -3912.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**2 + 4*q + 3*q + 0*q + 3*q - 2.\nAnswer: 21*q**2 + 10*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:13 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19952225423 less than -8237?\nAnswer: -19952233660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 81.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672 = 45*h - q, 3*q - 6 = 3037*h - 1516*h - 1520*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.84983 take away -126?\nAnswer: -105.84983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/((-6090)\/(-75)))\/((-10)\/(-16))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12030 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 32 + 15)*(6*u**5 - 3*u**5 - u**5) + 2 - 2 - 3*u**5.\nAnswer: -69*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18366*s + 5. What is t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4581101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -814680, -814674, -814658, -814626, -814572, -814490, -814374?\n\"Answer: j**3 - j**2 + 2*j - 814682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 25*b + 17. Let u be s(13). Suppose u*m = -c + 2314, -8*c = -10*c - 4. List the prime factors of m.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1299 - -5496. Suppose -16*o + o = -x. What is the remainder when o is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 177742 in 5, -5, 1, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-5))\/(1744\/4360)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 10 = 0. Let b be ((-12)\/8)\/((-1)\/j). Suppose b*s - 1 - 23 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90\/11 + 26\/11*y**2 - 384\/11*y = 0. Calculate y.\nAnswer: -3\/13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -3 - (-3 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 6. Give p(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -32*l - 31*l + 65*l + 13. Let s be q(-4). Let h = s - -46. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 14*x**2 - 2*x - 17. Suppose -14 = -3*k - 0*k + 2*s, k - 3*s = 0. Let o be (-14)\/(-1 + k\/3). What is the remainder when 34 is divided by l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326938.4 rounded to the nearest 10000?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skwissqsis. What is prob of picking 1 s and 1 i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (215\/(2280720\/(-672)))\/(3\/(-39))\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1183 and 66241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 (base 13) in base 11?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -3)*246\/(-18). Let k(j) = -9*j - 17*j + a*j - 2. Calculate k(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 635, 10, 1\/3, 1\/278.\nAnswer: 1\/278, 1\/3, 10, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1658386231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:37 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d + 26. Suppose 0 = 8*a + 13 - 13. What is the remainder when 72 is divided by l(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7713 - -1.6713. What is the smallest value in t, 7, 9, 10\/3, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*o - 0 - 12, 0 = 2*f + 4. Suppose -h + 3 + o = 0. Suppose 16 = -4*p + h*p. Solve -3*n - n + p = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/120 + (1 - 2))*105\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 209580745 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 12*f - 8. Let k be r(-14). Let d = 20 - k. Suppose -2*o + d*t - 3*t = -29, t = -1. Calculate the remainder when o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from vflofll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 538 + -358. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/43, -2\/11, 4\/3 in decreasing order.\nAnswer: 4\/3, -2\/11, -8\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*c**4*d + 8*c**3*d**2 - 4*d**2 - 11 wrt c.\nAnswer: 36*c**3*d + 24*c**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.4, -2\/225, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 622*g**4 + 2252*g - 2112. Differentiate r(h) wrt h.\nAnswer: 7464*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 7*b**2 - 17*b - 29. Let y be u(-7). Suppose 3*s - 765 - y = 0. What are the prime factors of s?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -919068000 rounded to the nearest 1000000?\nAnswer: -919000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*10\/4)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -413 + 287.5. Let f = x - -125. Let w = -0.07 - -0.04. Put f, -0.2, w in ascending order.\nAnswer: f, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1083 and 6099?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42869.86ml to litres.\nAnswer: 42.86986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 3\/61 in descending order.\nAnswer: 3\/61, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/173 in 25, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3696)\/1760 - 6\/(-10)) + (-10606)\/(-8). Which is smaller: 1323 or s?\nAnswer: 1323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6243 - -2877. Is 57 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmzzkmmk. What is prob of sequence mzmm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/1317 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 3*f - 4*f)*(-f + 2*f - 3*f) + 80*f**2 + 225*f**2 - 102*f**2 to x + j*f + i*f**2 and give i.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/200)\/(((-2)\/1415)\/(-2)). Suppose 4*v - 99 = -z + 965, -v + 4*z + b = 0. What are the prime factors of v?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i + 3. Let m(j) = 91*j + 28. Let d(b) = -3*m(b) + 28*t(b). Let s(w) = 2*w**2. Determine d(s(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13646.\nAnswer: 2, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 times 2.8125?\nAnswer: -233.4375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a + 12. Let n be (-151)\/45 + (-9)\/a. Let b = n + 1\/45. Sort 2\/7, -5, b in decreasing order.\nAnswer: 2\/7, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 30*d + 154. Let c(p) = -11*p. What is c(l(g))?\nAnswer: 55*g**2 + 330*g - 1694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*y + 88, 13*z - 15*z = -y + 12. Suppose -y = 2*s - 20. Solve 0 = 5*b - 2*x + 12, -7 = b - 5*x - s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 1300 - 5010. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*r**2*s - 35*l**3*r*s + 231*l**3*r - 11*l**3*s - 24005*l**2*r**2 + 4*r**2*s wrt r?\nAnswer: -4*l**3*s - 48010*l**2 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 6*p - 5*d - 35 = 0, 0 = -5*p + d + 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248115 = 21*c - 184086. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + 2*sqrt(114) - sqrt(114))*3)\/sqrt(6) + 0.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:58 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, s: 1, k: 2, u: 2, c: 1}. What is prob of picking 1 c and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 2, o: 3, v: 4}. What is prob of sequence gvs?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22\/43 - -278\/129. Let w(n) be the first derivative of -7\/2*n**2 - 1\/4*n**4 + u*n**3 + 0*n + 2. Give w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34874.\nAnswer: 2, 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -363 + 367. What is the closest to -3\/112 in -3, 3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = -1596. Is (-1 - y\/(-4))*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (273\/49 - 6\/21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 2*t + 2. Let o(n) = n**3 - 3*n + 3. Let d(h) = -h**3 - h**2 - h + 1. Let k be d(1). Give k*o(v) + 3*s(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 15. Let h = 2 + -13. Let l be j(h). Let r = 0 - l. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 28 - 31 - 30 + 89.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21929 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 6*y**2 - y**2 + 9*y**2 - 6*y**2. Let l(n) = 2*n**2 - 13*n. What is b(l(m))?\nAnswer: -4*m**4 + 52*m**3 - 169*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (-3 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79235 (base 11) to base 6.\nAnswer: -2243122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.35, -8, -1\/6, -5\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15914640 to the nearest integer?\nAnswer: 3989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 15 + 45. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*c + 9875 = 10*s, -2*s + 3964 = 4*c. List the prime factors of s.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Which is smaller: -1\/4 or m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l - 20*l + 15*l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3487, -4, -1 in descending order.\nAnswer: 3487, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1197.9 + 1198. Which is the nearest to 8? (a) 4\/5 (b) 1\/5 (c) 1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 15*q**2 + 2*q + 36. What is the units digit of r(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 11*n**7\/35 + 727*n**3\/6 + 710*n**2. What is the derivative of c(v) wrt v?\nAnswer: 264*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4186 + 4214 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 272 = 1379. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64323 (base 11) in base 8?\nAnswer: -266566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3180*p - 10719. Give a(5).\nAnswer: 5181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -40*z + 15. Let v = -75 + 72. Let w be j(v). What is the hundreds digit of 9\/(w\/(-170))*-21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.116 + -0.384. Let f = -52.9 - -53. Which is the smallest value? (a) i (b) 0.04 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29 + 0.27. Let u(g) = -g**3 + g**2 + 1. Let f be u(0). Which is the second biggest value? (a) p (b) f (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144010 (base 7) to base 11\nAnswer: 19974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 6*c - 22. Let o be x(3). Put 5, 0, o in increasing order.\nAnswer: 0, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, -2\/65, -136, 16, 5, -0.5?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*f = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -393 - -403. Suppose t = v - 3*y - 6, 12 = 2*v + 4*y. Put v, -1, -5 in increasing order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 243?\nAnswer: 15552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.0913 to two dps.\nAnswer: 7.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**3 + 25*m**2 - 2*m - 65.\nAnswer: 54*m + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -5.2. Let a = -0.081489 - -15.081489. What is the nearest to a in -2, -5, 2\/23, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*z + 200. Suppose 3*r + o - 13 = 26, -z = -5*r - 4*o. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 52 = 67 + 241 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (-22 + -14)\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.4432l to millilitres.\nAnswer: 217443.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/3 - 14*b**4\/3 + 41*b**3\/3 + 56*b**2\/3 = 0.\nAnswer: -1, 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {k: 5, m: 5, l: 2, t: 4, a: 3}.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 110211112222010?\nAnswer: 110211112222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -41, -56, -55, -32, 19, 104, 229?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15.809 * -3\nAnswer: -47.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52173 or 52177?\nAnswer: 52173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -886 + 653. Let a = -233.815 - s. What is a rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2781459 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, 1 p, and 1 s when four letters picked without replacement from {p: 3, d: 1, y: 2, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-107661)\/(-1224) - 88).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**3 + 47*j**2 - 23*j - 17. Let y(s) = -4*s**3 - 16*s**2 + 8*s + 6. Calculate 6*n(k) + 17*y(k).\nAnswer: -2*k**3 + 10*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/518, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Suppose -o - 4 = 4*v, 37 = o + 4*o + v. Let k = -10 + o. Which is the closest to 1? (a) 0.2 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -372 + 4868\/13. Let l = 2\/12125 - 283729\/24250. What is the common denominator of p and l?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-3 - 12)) + -4 + (-1 - 56)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4cb - -c?\nAnswer: -4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95543928 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/(14\/35*-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -345229254*l*r**2 - 107632*r**2 + 44*r - 2 wrt l.\nAnswer: -345229254*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 42 - -1 - ((-31 - 8 - -17) + 19)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5458 - -5480. Solve -267 = -35*t - w for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -23 and -219601 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 k when three letters picked without replacement from {k: 4, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794727 is divided by 2112?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 524613 and 21.\nAnswer: 3672291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 50 = 13*o. What is the remainder when (-6)\/(-18) - 154\/(-6) is divided by 4\/(-14)*(-14 - o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 2\/3, 0.07, -310?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 619\/3 - 4897\/24. Let t(i) be the second derivative of -5\/8*i**5 + 14\/3*i**3 + 17*i + p*i**4 + 0 + 3*i**2. What is j in t(j) = 0?\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -20, -v - 5*x + 2*x + 226 = 0. Suppose 0 = 3*o - 857 - v. Calculate the common denominator of (o\/42)\/((-18)\/21) and -1\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*b**2 - 254*b**2 - 367*b**2 - 3*b**4 + 2*b**3 + 119*b**2 to the form l*b**2 + w + n*b**3 + q*b + d*b**4 and give l.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 125*p - 25. Give m(42).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -297.399, 1, 3, 0 in increasing order.\nAnswer: -297.399, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137948.\nAnswer: 2, 34487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 6*x)*(-x - x + 4*x) + 26*x + 4*x**2 - 2*x**2 - 80*x + (-2*x**2 - 2*x**2 + 2*x**2)*(2 + 3 - 3) + (0 - 2*x**2 + 0)*(-4 + 0 + 6).\nAnswer: -18*x**2 - 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -207*j - 16415. Determine s(-86).\nAnswer: 1387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**2 + 84*x - 83*x**2 - 40*x - 44*x.\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241344812*k**2 - 108717380*k.\nAnswer: -482689624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/177916 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 11*j**2 - j + 9. Is u(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -29, -60, -103, -158, -225?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 19*d**3 + 582*d**2 - 187*d + 964. What is i(-31)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9*b = -7*b - 30, -b + 65 = 3*z. Suppose 27*i = z*i + 2205. What is the greatest common factor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 + 30*n**2 + 39*n**2.\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 98, 4, -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4.07. Let s = 0.06987 + y. Round s to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9268845?\nAnswer: 3, 5, 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*r + 133, 572 = 7*p - 3*p + 4*r. Let a = p - -119. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2874057 divided by -958019\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 32. Let g(s) = -s**2 + 17*s + 44. Let a be g(19). Let v be r(a). Solve -2*q - v = -6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 108510851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + t + 1. Let z be w(-1). Suppose -z*o + 1 = -5. Suppose 0*r + 3 = o*r. Does r = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2208\/(-1656))\/((-4)\/(-45)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 86299 + 86291 = p, -n + 3*p = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46085 - -3594757\/78. What is the common denominator of ((-3)\/18)\/((-364)\/(-11076)) and j?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 1. Let t(g) = 3*g + 9. Let j(f) = -6*f - 19. Let x(p) = -2*j(p) - 5*t(p). Let m(a) = -5*d(a) + x(a). Give m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(0 + (2 - 1)). Suppose -d = 2*h, 3*d = 3*h - 0*d - 18. What is the second derivative of -i + h*i**4 - q*i + i wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -121. Let x = y + 60. Let k = x - 10. Put k, -1, 12 in ascending order.\nAnswer: -1, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552 (base 6) to base 11.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-18))**14 assuming m is positive.\nAnswer: m**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 3*d + 1. Let q be 2 + (-4*4)\/(-4) + -9. Let o(u) = -2*u**2 + 6*u + 2. Give q*o(s) + 7*p(s).\nAnswer: -s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/9 (c) 0.5 (d) 2134.7 (e) 0 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + -2 + sqrt(98) + (((1*sqrt(98) - sqrt(98)) + 0)**2 - ((sqrt(98)*1)**2 + sqrt(98) + 0 - sqrt(98))))*-4.\nAnswer: -28*sqrt(2) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6461066 (base 7) to base 5\nAnswer: 200203134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-248*21\/(-504) + -12)*156\/(-10)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5177498*-0.3\nAnswer: 1553249.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1968 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64827 and 1635424.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 73*u**2 - 11*u**5 + 73*u**2 + (3 + 1 + 2)*(u**5 - u**5 + 2*u**5).\nAnswer: u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151938*p**3 - 203928*p wrt p.\nAnswer: 911628*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**2 + 14*n - 3. Let f(p) = -1. Let u(h) = 13*h**3 - h**2 + h - 1. Let d be u(1). Calculate d*f(m) + x(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400396?\nAnswer: 2, 41, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuau when four letters picked without replacement from {y: 1, z: 2, a: 4, v: 1, u: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - -118) + -14 + 8 + -13 + 15?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {t: 7, f: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 8:27 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 17*t - 3 + 10*t**2 + 7 - 24*t. Let m be s(4). Suppose -5*u + m = -u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - 1*1*sqrt(85) - (1*(sqrt(85)*1 + sqrt(85)) + sqrt(85)))\/(-4*sqrt(5)*-1 - sqrt(5) - -2*sqrt(5)*-6).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 + -361. Let w = -338 - a. What is the smallest common multiple of w and 5?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72100.22 nanograms to kilograms.\nAnswer: 0.00000007210022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 3*h**2 + 5*h**2 + (h - h + h**2)*(-3 + 5 - 4) - 1 + 1 + h**2 to x + c*h + d*h**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -360?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410 divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -286400.18638?\nAnswer: -286409.18638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (92160\/1776 - 52)\/4\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02468811 to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -24. Let y(n) = -n**3 + n**2 + 2*n + 40. What is the units digit of y(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 8413 - 470. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 1 l when three letters picked without replacement from {s: 2, m: 1, z: 4, d: 2, l: 1, v: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -0.4 (c) -4080 (d) 2 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from {b: 3, s: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125992*c*x - 31275*c wrt x.\nAnswer: -125992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 3*u + 8 - 4 + 2*u**2 - 7*u**2. Let j(z) = -z**2 + 5*z + 10. Let m be j(6). Let f be m - 0\/(-8 + 4). Determine p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*r + 37*r**2 - 36*r**2 + 5*r + 7*r.\nAnswer: r**2 - 88*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9547059 to the power of 1\/2, to the nearest integer?\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*u - 3, -2*u + 63 = -5*m + 34 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2283 and 1226732?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -18. Let m = 5429981\/30 - 362501\/2. Let w = m - -251. Which is the smallest value? (a) w (b) k (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 10*s**2 - 8*s - 8. Let z be m(8). Let j = -39 + z. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 318.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-6)*11\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:41 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 2 + 10 + 4 + b**3 - 1 - 5*b. Let m be n(4). Solve -1 = -2*y - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/((-4)\/264). Calculate the greatest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 10) to base 13\nAnswer: -5ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-1*2) - (-82 - -88). Suppose -2 = 2*d, 6*v - 4*v - 5*d - 97 = k. Calculate the remainder when 458 is divided by v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by 101.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28140296 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188875*q**2 - 2377808*q**2 + 1188885*q**2.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**7\/280 - w**6\/360 + w**3\/3 + 1. Let k(l) be the third derivative of y(l). Find the third derivative of k(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 10*z + 12. Let s be i(-9). Let t = -1 - -1. Suppose t = 2*d + 3*b - 25 - 15, -26 = -d - s*b. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159 - 164) + 2 + (6 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.116 and 0.1.\nAnswer: 0.1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06563 + -0.065632833. What is q rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74774, 74685, 74594, 74501?\n\"Answer: -v**2 - 86*v + 74861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find p such that -21*p**5 + 21120*p**4 - 5511672*p**3 + 100069266*p**2 + 136226253*p + 30624174 = 0.\nAnswer: -1, -2\/7, 21, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -46 + 0*d**3 - 6*d**2 - 1\/12*d**4 + 0*d. Let z(x) be the second derivative of c(x). Let n(v) = -17*v. What is z(n(b))?\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 32. Let j be d(5). Let v(s) = -18*s + s**2 - 4*s + j*s + 4. Let r = 2 - 6. Determine v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 8339912.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c6274 + -5?\nAnswer: c626e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13 greater than -3174980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-70) + (-69)\/((-14490)\/6708).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwswwfwcss. What is prob of picking 1 w and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*r + 33*r + 1 + 23*r)*(r - 1 + 1)*(2 - 1 + 0) in the form x*r**2 + y + i*r and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) - 2*sqrt(7920))\/sqrt(5).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67019, -67021, -67023, -67025?\nAnswer: -67027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - (-1100)\/6) + 2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 - b - 1. Let r(k) = 6*k**3 + 4*k**2 - 12*k - 5. Let t(g) = -r(g) + 5*s(g). Let l be t(3). Solve -4*j + 8 = -l*p, 5*p - 4*j + 8 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2))**17\/(j**2)**37 assuming j is positive.\nAnswer: j**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 674000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*g + 2*g - 29, -2*p + 89 = -5*g. Let y(r) = -r**3 - 3*r**2 + r - 7. Let j be y(-5). Let z = g + j. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + 2 + -3 - (-5 - 2) - 80.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 53*o - 2 + 13 + 44 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 12:44 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -4\/16628611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -3, -145 in descending order.\nAnswer: 2, 0, -3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2560 + 2596. Calculate the greatest common divisor of g and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/515 + 523\/2060. Is x > -0.86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:18 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3780? (a) -3\/4 (b) -0.04 (c) 2\/15 (d) 1 (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 984 and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 2619.\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(8)*2))\/(5*sqrt(50)\/sqrt(5) - sqrt(10) - sqrt(10)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -6) + 4 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*-3 - (2 + 0)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249*l**4 - 232 - 26*l + 29*l + l**2 - 251*l**4 + 4*l**3 - 3*l**3 to the form g*l**2 + f*l**4 + y + j*l**3 + b*l and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15962110 and 685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g - 3. Let u be n(2). Let c be -3*(-1 + (-1101)\/9). Suppose -4*a + 485 = t, -2*a + 2*t - c = -5*a. Calculate the highest common factor of a and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*2)**2*-1.\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.3 and 3901.\nAnswer: -32378.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1963)\/1057)\/((-12)\/7). Let p(a) be the second derivative of 7*a**2 - q*a**4 + 0*a**3 + 6*a + 0. Differentiate p(y) with respect to y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + (-7)\/28. Suppose c = -2*z - 112 + 114. Put -5, 17, z, 2 in decreasing order.\nAnswer: 17, 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:09 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a meter in centimeters?\nAnswer: 4350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/2 - (-3)\/(-6). Let u be 12\/8 - n\/4. Put u, -2, 12 in decreasing order.\nAnswer: 12, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 695983 and 1.5?\nAnswer: 1043974.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 2. Let f be k(-4). Solve -5*g + 5*i = 40, f*i - 12 = 4*g + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) -1\/2 (c) 0.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 186*g + 311*g + 3 - 5)*(4*g**3 - 2*g**3 + 0*g**3).\nAnswer: -2*g**5 + 250*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 14*b + 41. Calculate t(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-21\/4)\/((z*z**(-1\/3))\/(z\/(z**0\/z))))**20 assuming z is positive.\nAnswer: z**(-550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 879236.9 nanograms in milligrams?\nAnswer: 0.8792369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54216361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1075350, -1075347, -1075344, -1075341, -1075338, -1075335?\n\"Answer: 3*t - 1075353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -17578\nAnswer: -1\/17578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 3, y: 1, p: 3, t: 3, k: 1}. What is prob of sequence tq?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13227 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035907605?\nAnswer: 5, 71, 569, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2293*r + 585*r + 53*r.\nAnswer: 2931*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56443817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3676*x**3 + 17*x**2 - 17*x - 17. Let a(k) = 613*k**3 - 3*k**2 + 3*k + 3. Determine 34*a(z) + 6*j(z).\nAnswer: -1214*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -556*f - 21. What are the prime factors of j(-1)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -280*n + 285*n + 40 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(-4 + (sqrt(13) - sqrt(91)\/sqrt(63)) + 3*sqrt(52)))**2.\nAnswer: -400*sqrt(13) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-26)*(-3640)\/2800?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1059 + -1058.9. What is the third smallest value in r, 5, 2.49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2 - (sqrt(66)\/(sqrt(6) - sqrt(6)*-2) + sqrt(11)))**2 + 3.\nAnswer: 34523\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.302813 and 47.641?\nAnswer: 38.338187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -71017926 to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 8223 = 47*c + 7623 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 2 y when four letters picked without replacement from {y: 2, u: 1, m: 14}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62196, -124353, -186498, -248631, -310752, -372861, -434958?\nAnswer: -497043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 11*q**2 - 140*q + 743. Calculate g(6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 2*s)*(-757 - 734 + 2127)*(-5 + 3 + 1).\nAnswer: -636*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/40 - u**4\/8 + 2*u**2 - 15. Factor n(t).\nAnswer: 3*t*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2850 + 4602. Let k be (-1)\/(-2) + q\/12. Let o(p) = -p**2 - 9*p - 1. Let v be o(-7). What is the highest common factor of k and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:09 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 11*w - 4. Let n(k) = k**2 - 5*k - 2. Give -9*n(v) + 4*p(v).\nAnswer: -5*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12662 is divided by 3165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 5 (c) -25 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.028338 tonnes to milligrams.\nAnswer: 4028338000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7562795.\nAnswer: 5, 1512559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32363360, 32363361, 32363362, 32363363, 32363364?\nAnswer: 32363365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110, -102, -88, -68, -42, -10?\n\"Answer: 3*g**2 - g - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 435 + -433. What is the smallest value in u, 1\/19, 4?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.4 and 1858.14?\nAnswer: 1855.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7.19 * -157.021\nAnswer: 1128.98099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 6. Let y be c(8). Let l be y\/6 + (-3)\/(-9). Suppose 3*d + l*i = -6539996, d + 2*i + 871154 + 1308842 = 0. Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*l - 9 + 7 + 4)*(-2*l + 0*l + l) to n*l + s + h*l**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:05 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/61, 2\/15, -0.1, -1\/20, -10\/11?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*h - 223, -5*n - 2*h + 269 = h. Suppose 3*k = 95 + n. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*u - 33, -19*u - 1792 = 4*i - 0*i - 1790 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3087c + 173?\nAnswer: 30a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:14 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*y - 111 - 106 - 168*y**2 - 2*y + 458*y**2 wrt y?\nAnswer: 580*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012103 (base 4) in base 5?\nAnswer: -120444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 185.\nAnswer: 3\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*x + 232728, 2*y = -4*x + x + 139672. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 30 - 8 = 0. What is the tens digit of (-22673)\/(-21) - (2\/3 + n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22678 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0636002 to 4 decimal places.\nAnswer: -0.0636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4042*f*t**2 - 266*f + 3878080*t**2 with respect to f.\nAnswer: -4042*t**2 - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35273 to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26012141 (base 8) to base 9\nAnswer: 11767201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.2957 years to centuries.\nAnswer: 0.202957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 49.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k**2 + 853*k + 5967. What is n(-7)?\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*f*n**2*y - 2*f*n**2 - 3*f*n - f*y + 36*f - n**2*y + 48*n**2 - 2*n - 26*y wrt n?\nAnswer: -186*f*y - 4*f - 2*y + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117693769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1570*o - 6 + 3840*o + 381*o + 6 + 2.\nAnswer: 5791*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303, -295, -275, -237, -175, -83, 45, 215?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 277725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 591*d**4 - 284*d**2 + 3 wrt d.\nAnswer: 14184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m + 30. Let u be 5\/m + (-49)\/(-111). Let x = 69\/296 - u. Which is the closest to 0? (a) x (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (-12 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21 and -25\/29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k - 2. Let i be h(-4). Let d = i + 100. Let t = -56 - -67. Calculate the remainder when d is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1420 - 4?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -0.1, -4, -15391.16 in descending order.\nAnswer: 0.1, 0, -0.1, -4, -15391.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2\/7, 2, -1\/2 in decreasing order.\nAnswer: 2, -2\/7, -1\/2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 - 24886*y**3 + 78752370*y**2 - 8288238322*y - 8367015580 = 0.\nAnswer: -1, 110, 6167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 - 223*u + 1742*u**2 + 2*u**4 + 439*u - 212*u + 40*u**2 to c*u**4 + t*u + a*u**3 + z*u**2 + d and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 4 + 7\/5*a**5 + 0*a**2 + 0*a**4 + 11\/3*a**3 + 0*a. Find the third derivative of l(r) wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (445\/(-3400))\/((-33)\/44) and -47\/80.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -2, 0, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 - -184. Let z = w + -89. Sort z, -2, -1 in descending order.\nAnswer: -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -216*t. Let v be r(-3). Suppose 12*u - 14*u - v = 0. Let x = -191 - u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63a6 + -1?\nAnswer: 63a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) - 326\/14. Is (2 + o)\/((-2)\/2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 8*p + 3. Let k be i(8). Suppose k*q - 21 = -60. Let r = -10 - q. Solve 7 + 5 = -r*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*o - 1. Let w be (-4)\/(-10) - (-12)\/20. Sort o, w, -5 in decreasing order.\nAnswer: w, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.85 - -0.85. Let n = 47.9999848 + d. Round n to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -209444.4 to the nearest 100.\nAnswer: -209400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/9)\/((9000\/(-54))\/(-25)). Let p(w) be the second derivative of m*w**5 - 1\/126*w**7 + 0 - 6*w + 0*w**2 + 0*w**4 - 1\/90*w**6 + 0*w**3. Factor p(n).\nAnswer: -n**3*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 - 3*s**2 - 4*s**2 - 8*s**2 - 6*s**2 - s**2 + 0*s**2 + 3*s**2 - 5*s**2 + (-5 - 2*s + 5)*(0*s + 0*s - 2*s).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1439130.7 days?\nAnswer: 205590.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 take away 17147?\nAnswer: -17284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 4, -8.\nAnswer: -8, -6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*q = 102*q + 18 - 57 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 + 5*y**3)*(-3 + 3 - 1) + 8*y**3 - 9*y**3 + 2*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**2 + o + 24. Does 16 divide n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2493, 2929, 3367, 3807, 4249, 4693, 5139?\n\"Answer: h**2 + 433*h + 2059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 302. Let p(x) = 2*x**2. Determine b(p(q)).\nAnswer: 2*q**2 - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**10\/75600 - p**6\/180 - p**5\/30 - p**2. Let l(c) be the third derivative of i(c). Differentiate l(u) with respect to u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3682 or 9\/23?\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -12*t. Let d(y) = -5403306*y. Determine o(d(p)).\nAnswer: 64839672*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 4*k - 33. Let r(d) = -5*d**3 - d**2 + d. Let f be r(1). Calculate the lowest common multiple of u(f) and 14 - (-3 - -1)*1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -369*z**2 - 159*z + 3. Let n(a) = -4*a**2 - 1. Let y(r) = d(r) + 4*n(r). Find the second derivative of y(v) wrt v.\nAnswer: -770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = q + 7, -4*o = -2 - 2. Let u be ((-52)\/(-39))\/(q\/3). Suppose 2*l - 14 = 5*w - 9*w, -3*w + 9 = 0. Sort l, -5, u, -1 in decreasing order.\nAnswer: l, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose -4*s - 2*y - 2 = -24, -47 = -4*s + z*y. Suppose -2*m = -4 - 40. Calculate the remainder when m is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/30*-10)\/(2\/3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*r - 4*z, 5*z + 506 = -4*r + 517 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (5 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791443327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1591, -6818, -15531, -27730, -43415, -62586, -85243?\n\"Answer: -1743*o**2 + 2*o + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -1\/35*y**6 - 4\/7*y**4 + 0*y + 1\/490*y**7 + 0 + 8\/7*y**3 - 43*y**2 + 6\/35*y**5. Factor t(b).\nAnswer: 3*(b - 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, h: 9}. Give prob of picking 3 k and 1 h.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2897820883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4684*n - 23421. Give u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*j - 6 = 0, -3*x - 4*j + 24 = -8*j. Solve -x*c - 12 = 8, 5*v - 25 = 4*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -29. Let n = k - 2. Let z = 8 - 6. Solve 0 = -r - n, -z*r - 2 = g + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, 0.3, -0.2, -26\/15 in decreasing order.\nAnswer: 2, 0.3, 2\/7, -0.2, -26\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**6\/300 + k**5\/75 + k**4\/12 - 2*k**3\/5 + 6*k**2 + 14*k. Let l(u) be the first derivative of x(u). Factor l(n).\nAnswer: -2*(n - 3)*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*b**3 - 2*b**2 + 321?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -52 + 11 + -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452104 is divided by 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605325153 to the power of 1\/2, to the nearest integer?\nAnswer: 24603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 3*r. Let p(k) = 18*k - 338. Let d be p(19). Solve r = -0*a + d*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2951 rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)\/(9\/27). Let m be -4*(n - 4) - -2. Find the second derivative of -2*k + 8*k - 22*k + m*k**3 wrt k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 1, 68, -345, 3, 2.\nAnswer: -345, -5, 1, 2, 3, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 511256 - 5619142\/11. Which is smaller: 424 or l?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 29*z - 28. Let r(p) = 2*p**3 - 13*p**2 + 3*p - 10. Let y be r(6). Let w be c(y). Solve w = 4*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3297 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3406914 divided by 9.\nAnswer: -378546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-6)\/2 + -2). Suppose -z*o - 2*g + 23 = 0, o + 7 = -g + 14. Suppose 4*r = -2*y - 2, o*y + 14 = 2*r + 35. Solve 6*l + y = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (-208)\/6. Let l = r - -49. What is the greatest common factor of l and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86832 and 14935104.\nAnswer: 14935104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 2, y: 4, m: 1}. Give prob of picking 1 v and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -24. Let y = m - -11. Suppose y*x = 5*x. Solve x*w - 5 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhllzhhlhlzllll. Give prob of sequence zlz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 14. Let h be p(-7). Suppose 0 = h*d + 1267 - 4130. List the prime factors of d.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -4\/33*b**3 + 1\/44*b**4 + 2 - 14*b**2 + 0*b + 1\/330*b**5. Let n(c) be the second derivative of m(c). Let n(k) = 0. What is k?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 0*k**3 - 2*k**3 + (-1 + 4 - 1)*(5*k**3 - 2*k**3 - 4*k**3))*(488590 - 137*k**2 - 488590).\nAnswer: 411*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052630077 minus -2?\nAnswer: 1.947369923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27068231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 65, 138, 241, 374, 537?\n\"Answer: 15*r**2 - 2*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (118\/(-3))\/(-1) - 50\/(-30). Suppose 4*a - n = -5*v, -2*a + 3*v = -5*a + 30. Let i(c) = c**3 - 10*c**2 + 7*c + 2. What is i(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -8*y + 329. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9009, 19051, 29103, 39171, 49261, 59379, 69531, 79723?\nAnswer: 89961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 238 = -2*n, -4*n + 3*w + 2*w + 448 = 0. Let j be ((-15)\/2)\/((-30)\/20). Suppose n = 4*b - 0*i + i, 120 = j*b - 4*i. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h + 2. Let g be l(1). Suppose 0*j + g = j. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 772.\nAnswer: 77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13463347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*a**3 + 809*a**3 + 75*a**3 + 636*a**3.\nAnswer: 1697*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**8\/r*r)\/r)\/(r*r**(-6)))\/((r\/r**4*r)\/(r\/(r*(r*r*r**(-3\/8))\/r*r))))\/((r\/(r**(-2)\/r))\/r**(-4))**49 assuming r is positive.\nAnswer: r**(-3037\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1098 + 5097. Calculate the greatest common divisor of 531 and n.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/4)\/((-6)\/37020*-15).\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -346 + 438. Suppose -14*r + q = -20. Let t(p) = -p**3 + 7*p**2 + 8*p - 5. Give t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003623194674 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/128)\/((-195)\/24)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 160 * -0.5\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 + 8*n - 7. Let u be h(6). Suppose -16 = -u*a + a. Solve 9 = -v + a*o, 4*v + 4*o - 3*o = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + t - 5 + 4 = 0, 5*x + 5*t = 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = 2*y. Factor y - v**2 - v + 9*v - 5*v + 1.\nAnswer: -(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, -2659 in descending order.\nAnswer: 3, 1, 0, -2659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 4, x: 5, c: 1}. What is prob of sequence hh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 767922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36818 and 87555.\nAnswer: 7179510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 85*y + 7. Let a(l) = 42*l + 4. What is 7*a(x) - 4*o(x)?\nAnswer: -4*x**2 - 46*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*j**2*y + 362*b*j**2 - 10*b*j*y - 359*b*j - 6*b*y + 3*j**2*y wrt j?\nAnswer: -2*b*y + 724*b + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 1 + 3 - -1. Suppose -w + 2*c + 2*c = -23, -i*w = -4*c - 26. What is the third derivative of -2*o**2 - o**4 + 0*o**4 + w*o**4 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.63. Let v = r + -2.97. What is the nearest to 0 in v, 1\/5, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.52 - -4.52. Let o = -10936 + 10939.99968. Let d = s - o. What is d rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101242372?\nAnswer: 2, 7, 11, 328709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(78)*-2*-4)\/sqrt(6)))**2.\nAnswer: 1728*sqrt(13) + 30276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 - 3*z**2 + 39*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 - 14\/(-2). Let j(y) = y**3 + 37*y**2 + 36*y - 5. Let u be j(-36). Is 3203\/a - 2\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2\/6 + 240\/36. Let m be v*(-5)\/(-245)*9. Is m at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t**4 - 2*t**4 + 5*t**4)*(-18 - 1 - 7) in the form z*t + w*t**2 + r*t**4 + u*t**3 + v and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j + 906 - 186 = 0 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 7*p**2 - 7*p. What is a(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672152 is divided by 2870?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(2\/(-4)). Let k be -2*(-1 + a - -14). Let r = -12 - k. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4 - 645*x**3 + 5028*x**2 - 12468*x + 9936 = 0. Calculate x.\nAnswer: 2, 4, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 4\/3*(-39)\/12 - 67860\/1566.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*6\/48*52. Sort p, -2\/9, 0 in increasing order.\nAnswer: p, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from huuhmhhhuumuu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 8*p**3 - p**3 - 1841*p + 1841*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 28, 5 in descending order.\nAnswer: 28, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 51. Let l = t - -131\/3. Let z = -71 + 38. Calculate the common denominator of l and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -5, 5, -75, -15, -9 in decreasing order.\nAnswer: 48, 5, -5, -9, -15, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 28288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 15*a + 78. Determine i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 6*f + 3. Let l be n(-7). Suppose -12*y = -l*y - 10. Solve -5*x + 15 + y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (70 + -69)*(-2 - (1 - 756))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136)*-1 - sqrt(136)))\/(-4*sqrt(24)\/sqrt(3))*-6*-2.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 131*t**3 - 4355*t**2 + 4225*t.\nAnswer: -t*(t - 65)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 433 + 332 = 3*m, 3*b - 263 = -m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-6 + -25 - (-13 + 20 + 6))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2 (c) 11 (d) -46 (e) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 12*t**2 + 13*t**2 - t**4 + 16143 - 16145 - 12*t as p*t**2 + v*t**4 + u + s*t**3 + h*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/20 and -15\/7607084.\nAnswer: 38035420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 250.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2602633?\nAnswer: 11, 223, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n + 7, 0 = 3*r + n + 6. Calculate the remainder when 17 + -20 - 1\/((-1)\/91) is divided by 19 + (-1)\/r + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-72)*-3 + 68\/6. Let k be s\/8*184\/4. Let p = k + -44. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.405602 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -442, -496, -154, 590, 1742, 3308, 5294?\n\"Answer: l**3 + 192*l**2 - 637*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.9\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -17 - 20. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19322 + 19328. Suppose 0*s = s. Let p be (s + -2)*(0 - 2). What is the second biggest value in p, i, 0, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 2*m + 11. Let o(b) = -b**2 - b - 4. Give 7*o(f) + 3*y(f).\nAnswer: 2*f**2 - f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 122619051 from -7.\nAnswer: -122619058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/7 + 8\/14. Let h = 22 - 16. Which is greater: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + 6 - 8) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3824.618l in millilitres?\nAnswer: 3824618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 714.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115954*-5.\nAnswer: -579770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39859 is divided by 4426?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 414*t - 15940 = -56*t + 1117 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 76, 10 in descending order.\nAnswer: 76, 10, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -4365708.\nAnswer: -52388496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -2, -4, -3, -304?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(6*(-1 + (1*sqrt(1008) - sqrt(1008))) + -5)*-5 + -5)*6)**2.\nAnswer: 396900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**2 - 413*y + 4204. Give q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a - 34. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 0*a + 13*a + (0 - 3 - 3)*(4*a - 4*a + 2*a) - 7*a - 2*a + a)*(-2 - 4 + 4) as s*a + i and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-5)\/2*36\/(-45). Let w(l) = -6*l**2 + 3*l - 3. Let b(k) = -11*k**2 + 6*k - 5. What is t*b(d) - 7*w(d)?\nAnswer: -2*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.354237 centuries in months?\nAnswer: 8825.0844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j. Let t be -5*(-3 - (-1224)\/420). Which is greater: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 80, -4, -1, 0.06 in descending order.\nAnswer: 80, 4\/3, 0.06, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**4*o)\/o**(24\/7))\/(o**20*o**20) assuming o is positive.\nAnswer: o**(-248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.297. Let m = -0.00299704 - f. What is m rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 5*v = -65, 4*q + 13*v - 11*v + 2*v = -40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4899141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - m + 2. Let d be q(0). Suppose 5*x - 30 = 2*x. Suppose -s - 3*z = -x, s - 4*z + d*z = 0. Solve -3*h - 6*u = -3*u - 15, -3*u + 8 = -s*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*b = 656*b - 2535 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/3)\/(40\/30). Let d be w\/2*-2 - -3. Solve 1 = -b - d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 + 17?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7917369377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z\/z**(-3\/7))\/z)\/z*z))\/z**1)**(-1\/37) assuming z is positive.\nAnswer: z**(3\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 29 - 19 = 0. Let d(c) = -c - 1. Let k be d(5). Calculate the remainder when 105\/2 - k\/v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 629, 947, 1245?\nAnswer: 1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 394*i**3 + 6*i**2 - 16*i - 3. What are the prime factors of m(2)?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - (-10)\/15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6 + 18. Suppose 884 = 28*k - 787 - 1017. What is the greatest common factor of k and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 1\/2*c**2 + 2 + 0*c**3 + 2*c - 1\/4*c**4. Calculate the least common multiple of s(0) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5695 or -5358?\nAnswer: -5358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 223578.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -20*v**3 + 1035*v**2 + 282*v - 1145. Calculate d(52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from jjjjjjjyjjjjj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 6) to base 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100101000111 (base 2) to base 9.\nAnswer: 22102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -15. Is g\/(-10) - 109\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from {b: 4, a: 8, v: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-27))\/(2\/6). Let y(x) = -x**2 + x. Let z(b) = -6*b**2 - 15*b. Let o(g) = d*z(g) - 5*y(g). What is the second derivative of o(u) wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 q when four letters picked without replacement from qscsqqqqqqqosqss.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -204*r - 2653. Let h be i(-13). Let q = -0.13 - 0.21. Let x = q + 0.3. Which is the closest to h? (a) -0.3 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 400459, 1601967, 3604479, 6407995, 10012515?\n\"Answer: 400502*i**2 + 2*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:28 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + (-2)\/(-2) - 2) + 43. Let i = h - 44. What are the prime factors of 45\/(-27) - (-74)\/i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 1 + 5*r - r**2 + 5*r**2. Let x(d) = 4*d**3 + 2*d**2 + 2. Let p be x(-2). Let h be 12\/18 - p\/(-6). Calculate i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49592 by 24796.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/30 + 5\/2250*235?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -3. Let v(h) = 2*h + 1. Let t be v(n). Let y = -0.2 - -0.1. Sort 3\/5, t, y in decreasing order.\nAnswer: 3\/5, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 3*a**2 + 6*a - 4. Let i be l(4). Let t = 2 + i. Let n(z) = 462*z + 3706. Calculate the remainder when n(-8) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**3 - 5667*y**2 + 3*y - 39005.\nAnswer: 3*y**2 - 11334*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. What are the prime factors of s\/(-12)*3*46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10763 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8 + 4 + 313 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z + 5. Let f(o) = 6 - 4*o - 26*o + 4 + 2. Determine -5*f(j) + 12*t(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3*42\/4. Calculate the remainder when (-1001)\/(-49) - 6\/j is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) - 35\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2496 - 2388. What is the highest common divisor of n and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*b - 9. Suppose -2*x - b + 3 = 0, -34 = -g + 4*x. What is the greatest common divisor of 44 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26840 + 34196.2. What is v rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/7 - 6*g**2 + 39*g - 228\/7 = 0. What is g?\nAnswer: -19, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -8 - -10) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334009047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95348, 95187, 95028, 94871?\n\"Answer: m**2 - 164*m + 95511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**5 - q**3*x - 80*q**3 - 2*q**2 + 12*x wrt q.\nAnswer: 180*q**2 - 6*x - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 863*r - 852*r = -44. Put r, -3, 64, -2, 2 in ascending order.\nAnswer: r, -3, -2, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 108190881*o. Let a(s) = -2*s. Give z(a(w)).\nAnswer: -216381762*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5\/15 + 94*v**4\/15 - 172*v**3\/5 + 200*v**2\/3 - 656*v\/15 = 0.\nAnswer: 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/(j*j*j*j\/(j*j*j**(-3)))*(j**1*j)**(1\/22))**6)**(-33) assuming j is positive.\nAnswer: j**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (((-36)\/8)\/(2\/772))\/((-7)\/49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-127677)\/(-12))*4. Suppose -33*c - 1848533 = -10*c. Let h = q - c. Round h to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -118. Solve n = -c - 0 - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -39426?\nAnswer: -53\/39426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 848, 1597, 2334, 3053, 3748, 4413?\nAnswer: 5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7273 or 7274?\nAnswer: 7274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 9*w + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -135, 5, 2.\nAnswer: -135, -3, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 274.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5633252.\nAnswer: 2, 23, 61231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4002690.3 rounded to the nearest one thousand?\nAnswer: -4003000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 88*w + 88*w.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r + 226. Let p be f(-17). What is the nearest to -0.8 in -5, -0.38, p?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.010709\nAnswer: -0.053545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(54)\/sqrt(3) + -2*sqrt(2) + -4)**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737040 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-3465))\/(1*(-2)\/(-9)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 1. Let x be d(-2). Let v be (-3)\/x - (-22276)\/28. Let y = -503 + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696328439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h**5\/11 + 214*h**4\/11 + 68*h**3\/11 - 130*h**2\/11 = 0.\nAnswer: -13, -1, 0, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 3*a + 22. Is 22 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*k = -146*k. Solve 5 - 2 = -3*j - 3*l, k = 5*l + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4401 - 3837 = -6*f. Find the second derivative of 3*o + 9 - f*o**5 + 3*o**3 - o + 1392*o**5 wrt o.\nAnswer: 380*o**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/30)\/(45\/(-225)*13*2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u**(-7)*u*u))\/(u**(-20)*u**(-16)) assuming u is positive.\nAnswer: u**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 5*o - 4. Let k(b) be the third derivative of b**5\/30 + b**4\/12 + b**3\/3 + 2*b**2 + 11*b. Give 5*k(a) + 2*q(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(125) - sqrt(5)).\nAnswer: 15 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34410 (base 10) to base 12.\nAnswer: 17ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**7\/168 - 13*l**6\/12 + 627*l**5\/8 - 5445*l**4\/2 + 299475*l**3\/8 + 1185921*l**2\/4 - 294*l. Suppose k(y) = 0. What is y?\nAnswer: -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 + s**2)*(3026*s**2 + 111012 - 111014 + 2721*s**2).\nAnswer: 5747*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 plus 88780476993?\nAnswer: 88780476925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -599 - -781. What is the highest common factor of h and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 9*j + 4 = 3*k, j = k - 4. Solve -d = 5*n + 10, -2*d = k*n - n + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 63. Suppose 3*j - l = 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(42\/(-8)))\/(3\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3196950.\nAnswer: 2, 3, 5, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432 + -592113.62?\nAnswer: -590681.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 362279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -643859469 divided by -7757343?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let w(l) be the first derivative of -5*l**4\/4 + l**3\/3 - l**2\/2 - l + 1. Is 4 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 1, a: 2, c: 2, y: 11}. What is prob of picking 1 u and 1 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 31*y**2 - 30*y - 62. Let w be z(32). Suppose w*j - 3 - 5 = 0. Solve j*d - 4*b - 20 = -0*b, -d + 5*b = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {q: 1, s: 2, w: 1, r: 5, u: 5, o: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(26)*2)\/(sqrt(162)*3 + 4*(sqrt(2) - (sqrt(50) + sqrt(2)) - sqrt(2))).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (25 - (18 + -26 + -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, i: 2, d: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -10. Let h = t + 10. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**6\/15 - 51*r**3 + 177*r**2 + 383*r. Find the first derivative of h(v) wrt v.\nAnswer: 8*v**3 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440980 divided by -85\nAnswer: -5188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2063176 - 0?\nAnswer: -2063176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -53adf (base 16) in base 13?\nAnswer: -c0016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -434, -513, -640, -833, -1110?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/557 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - 4a4?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18208833 + 51180.53.\nAnswer: 18260013.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/4)\/(1205\/1928). Put 5, 13, p in ascending order.\nAnswer: 5, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - k - 33. What is q(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31088, -31170, -31252?\nAnswer: -31334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.637079 meters to micrometers.\nAnswer: 6637079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -960, -5 in decreasing order.\nAnswer: 3, -5, -960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose 4*q - u - 19 = 39, 5*q + 4*u = 62. Let g be 2*(-1)\/2*-2. Solve x*w - q = g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.93937 - 0.03937. Which is the closest to 1? (a) 5 (b) 1 (c) v (d) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:17 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f, 3*l = -4*f - 995 + 3592. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5950780 by 4.\nAnswer: -1487695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69114607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1328 + 2118. What is the third smallest value in l, 3, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7548*o - 100 = 7544*o - 2*q, 2*o - 4*q + 200 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245*u**2 + 287*u**2 + 88*u**2 + 590*u**2.\nAnswer: 2210*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 31, 71, 139, 241, 383, 571, 811?\n\"Answer: r**3 + 5*r**2 - 4*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**3 + n**3 + n**3)*(4*n - 5*n + 30*n) as x*n**4 + s*n**2 + g*n**3 + l*n + t and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 - 7013283*k**4 - 4098869416218*k**3 - 28691735250426*k**2 + 4098869416221*k + 28691742263709 = 0 for k.\nAnswer: -1168877, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44656, -178586, -401798, -714292, -1116068, -1607126, -2187466?\nAnswer: -2857088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2*w**3\/3 - 15*w**2\/2 - 3*w + 100. Determine q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2156300 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*l**4\/6 + 6953533*l**3\/3 + 9933613*l**2\/6 - 662241*l = 0. Calculate l.\nAnswer: -1986723, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20006117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705894719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -632, -1251, -1856, -2447, -3024, -3587?\n\"Answer: 7*j**2 - 640*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 50 = -4*f, -2*f = -8*i + 5*i + 28. Calculate the lowest common multiple of 8 and 3\/(-2)*(-8)\/i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*w + 339*w + 132625 = 841*w for w.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1652, 5, 1 in decreasing order.\nAnswer: 5, 1, -1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*c + 20*c - 344 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14708606 divided by -1337146?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -89*h**6\/24 + 359*h**3\/3 - 755*h**2. Differentiate u(j) wrt j.\nAnswer: -1335*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 2.01. Let w = 0.962 + -0.042. Let b = w + 8.08. Which is greater: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 36*x + 30. Determine v(35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32743905 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3))**2 + 3 - ((sqrt(720) - (1*sqrt(720))**2) + -1).\nAnswer: -12*sqrt(5) + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2 - a - 1. Let i be 1\/3 - 28\/21*1. Calculate g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*g + 32, 2*g - s + 40 - 26 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217 (base 16) to base 13.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -260492 or -260493?\nAnswer: -260492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/2, -275, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6007017 is divided by 62573.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 312897 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20402.796871 and 0.4.\nAnswer: 20403.196871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2)*(-8 - -2). Let i be (11\/22)\/(2\/x). Solve i*p = 4*o - 31, -3*p + o = 3 + 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-4) - 2 - 1. Is ((-2)\/4)\/(f\/2174) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7345, -17391, -27443, -37501?\nAnswer: -47565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10572 + 24706 = 1138*j for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 672762409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + r**2 + r + 13340. Suppose 3*a = 4*j - 8 - 1, j + 2*a = -6. Let v be o(j). What is v rounded to the nearest 100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5234356 and -0.1.\nAnswer: -5234356.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {j: 1, w: 2, x: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11 + 8 - 21*b**3 - 44*b**3.\nAnswer: -65*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1208\/4105 - 106472861\/172410. Let o = 4497\/7 + p. What is the common denominator of o and -61\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 6*i + 2. Let n be v(6). Let m(z) = 4*z + z**n - 4*z. Let k(g) = -2*g + 5. Let l(p) = 2*p - 4. Let x(o) = -4*k(o) - 5*l(o). What is x(m(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 80 - 30?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471\/2*o + 1\/4*o**2 + 221841\/4 = 0. Calculate o.\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9628 + 0.0372. Put 3\/7, 19, x in decreasing order.\nAnswer: 19, x, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5541 + 2439 = 19*u. Let l be (6 + (-6468)\/18)*u. What is l rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/2 - 0\/5)*-4. Let c(n) be the first derivative of -9*n**3 + 33*n + 22 - 19*n + 0 + t*n. What is the first derivative of c(m) wrt m?\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1774?\nAnswer: -5\/1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*k - 3*m, 4*k - 9 = -m + 4. Suppose -3*j + 40 = -2*j. Suppose -o = k*o - j. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 66*l + 15. What are the prime factors of r(6)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*r**4 - 224*r + 4*r**3 + 2*r**2 + 224*r + (0*r - 3*r + r)*(659*r - 659*r - 229*r**3) to the form t*r**4 + x*r + b*r**2 + m*r**3 + p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*c + c**3 - 2*c - 2*c**4 + 10*c as h*c**3 + y*c + z + q*c**4 + o*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -96986*u**3\/3 + 5*u**2 - 6*u - 1. Let b be i(-8). Let n = b - -10807190. Round n to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((0 - 46) + (-25 - -3) + 28).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b + 2. Determine x(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*-2*sqrt(245))\/(3*sqrt(7)*-2))\/(6*sqrt(84)\/(sqrt(1200)*-2)).\nAnswer: 200*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 295 + 0*b**2 + 0*b - 151\/3*b**3. Let s(v) = -3*v. Determine s(q(j)).\nAnswer: 453*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -4d6?\nAnswer: -4d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 7 + 2 + n**2 - 38 to the form d*n**2 + s + y*n + c*n**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1445678 + -3.855433. Let y = 5 + s. What is y rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 17}. Give prob of sequence qd.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -78.042805591 and -133?\nAnswer: 54.957194409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = p - 7, 4*k - 2 - 3 = 3*p. Suppose 2*c - 44 = -k*j, c + 0*c - j = 14. Solve 3*m - 6 + c = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 4. Let s be i(1). Suppose 34 = s*f + 13. Calculate the remainder when 33 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30490.\nAnswer: 2, 5, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moom when four letters picked without replacement from oooomooooomoo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + 57. Suppose 12 = -v*i + 106*i. Factor 2\/3*u**4 - 8*u + i + 8\/3*u**3 - 4\/3*u**2.\nAnswer: 2*(u - 1)**2*(u + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 131. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqgawqrrww. Give prob of sequence qqw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -39*p - 113. Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31916 = 1163*f - 92525 for f.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 54439490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 24*o**3 + 112*o**3 - 22*o**3 - 10*o**2 - 61*o**3 + 4*o to the form g*o + t*o**3 + l + r*o**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1962, 1965, 1970, 1977, 1986, 1997?\n\"Answer: x**2 + 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -f + 8. Suppose -4*g - z - f - 121 = 0, 2*z - 98 = g. Let m = g - -177. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7.6. Let x = l + 0.4. Let o = 0.02 - -0.28. Which is the closest to 1? (a) 2 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 15313*c**3 - 5444*c**3 + 11*c**2.\nAnswer: -20757*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 25*b - 21. Let f be n(-26). Suppose 0*w + 2*s + 496 = 2*w, w + f*s = 224. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Suppose -4*v - 14 = 3*y, -5*v - 2*y = -2 + 16. Is v >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/2 + 87*u**3\/4 + 279*u**2\/4 + 39*u\/2 - 30 = 0. What is u?\nAnswer: -10, -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17185454873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 - 4*l - 2. Let k be r(-3). Let y = -4 - -4. Suppose 4*z - k - 11 = y. Solve z + 0 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 850 - 220 = -2*s, 0 = 5*g - 2*s - 3126. Let x be g\/(-18)*(-9)\/6. Let b = -31 + x. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-17)\/408*6. Which is the nearest to j? (a) 2\/5 (b) 3 (c) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 20, -3*n + 655 - 1724 = 2*y. Let r = 640 + n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**4 + o**2. Let g(r) = -5*r**4 + 2*r**3 - 14*r**2. Let b(c) = -g(c) - 6*u(c). Factor b(f).\nAnswer: -f**2*(f - 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + 7) - 13) + 2 - 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51\/26 - 6\/13. Let w = -31 + 30.864. Let n = w - 0.164. Which is the smallest value? (a) 5 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 5*a - a + (-3 - 3 - 1)*(-a - 1 + 1) - 3*a - 2*a + a)*(-2 - 1 - 1)*(a**2 - 3*a**2 + 4*a**2).\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h, 0*v = -5*v - 5*h + 5740. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(153)*2)\/(sqrt(9) + sqrt(225)*3).\nAnswer: -sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 - -0.027. Round w to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = -3*m, -2*t = -4*m + 11 - 31. Let n = m - -6. Suppose 4*q - u - 6 = -3*u, 5*u - 15 = -4*q. Solve q = -f + n*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4 + 90*w**3 + 8935*w**2 + 142740*w + 686140 = 0. Calculate w.\nAnswer: -14, -13, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -3\/11 (c) 118 (d) -0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/(56\/(-30) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + ((-52)\/(-20))\/1. Let n = 0.74 - 0.64. Which is the third smallest value? (a) 0.06 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11286 divided by -66?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3390 is divided by 94.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvo when three letters picked without replacement from vmorhoh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796597479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2\/4 + 129*g - 2655\/4 = 0.\nAnswer: -177, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and -12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 84*c + 1764.\nAnswer: (c - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21140 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-3) - 5) + 13. Solve 0 = -f + 4*d - 13, -3*d + h*d = 4*f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -2)\/(-4) + -3 - -322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 96*4\/(-6). Let z = -41 + w. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + 3. Which is bigger: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54082 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/((-1)\/((-10)\/(-16)))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 4, -12, -15, -5, -9 in increasing order.\nAnswer: -15, -12, -9, -5, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148001?\nAnswer: 7, 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 822 divided by 6\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 17 - 3. Calculate the common denominator of (831\/6 - 6)*(-2)\/b and 9\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1705295 (base 10) to base 9.\nAnswer: -3178202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 395. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -35*(231\/35 + -7). Let y(r) = -r**3 + 13*r**2 + 8*r - 6. Let w be y(13). Calculate the greatest common factor of w and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 14*c**2 + 16*c - 9. Let t be l(15). Suppose t = -10*z + 36. Suppose -z*v = 3*v - 786. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let l(t) be the third derivative of 17*t**4\/24 + 3*t**2. Give l(g(k)).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 + 110 = -4*y. Let t be 12\/y*42\/48*4. Suppose 4*c - 5*z - 2 = 0, -t*c + 5 = -z - z. Let u(x) = 3*x - 4. Give u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37705247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 408293029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 461*m - 972. Is 109 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -3*l**2 + 19\/4*l**4 - 5 + 0*l**3 + 0*l. Find the second derivative of r(a) wrt a.\nAnswer: 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l**4 + 23673*l**3 - 5764518*l**2 = 0. What is l?\nAnswer: 0, 438, 4387\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raqx when four letters picked without replacement from {a: 1, g: 2, x: 5, r: 1, q: 1}?\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -523, -783, -1043, -1303, -1563?\nAnswer: -1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138 - 28*y**2 - 137 + 9*y**2 wrt y?\nAnswer: -38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280068020 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 31 = -l. Let f(y) = 3*y + 1. Suppose -3*u - 6*u + 45 = 0. What is the remainder when l is divided by f(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2905926116 to the power of 1\/2, to the nearest integer?\nAnswer: 53907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -23*f + 37. Let g(h) = -8*h + 10. Let m(c) = 14*g(c) - 4*v(c). Calculate m(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 747 + -744. Suppose -3*p - s = 2*p + 27, -2*p - 5*s - 20 = 0. Let m(h) = -3*h + 1. Let f be m(p). Solve 3*x = 2*r - z*r + f, -3*r - 7 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1715 - -1967. Calculate the highest common divisor of b and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.12 (c) 1\/2 (d) 8 (e) 0 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.033, -1\/4 in increasing order.\nAnswer: -1\/4, 0.033, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58450 <= 58451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2.5, -3, 0, 0.6 in increasing order.\nAnswer: -3, -2.5, -2\/9, 0, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -231*t + 1. Let c be j(-1). Suppose 5*w - 240 = 2*s - 707, s - 3*w - c = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1625\/650*(2\/(-6) - (-52)\/165)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 162201.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4 and (-5)\/(75\/(-10)) + 978\/(-576).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + -2. Let q be 498\/21 - (-2 + z\/(-14)). Suppose 4*r = -s + 384, 4*r = -r - 2*s + 480. What is the highest common divisor of q and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h - 11. Let f(m) = -8*m + 955. Let z(c) = 4*c - 410. Let u(d) = -3*f(d) - 7*z(d). Give -2*n(q) - 5*u(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5136 is divided by 102?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/1769157 and 89\/1716.\nAnswer: 77842908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88955520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715186276.\nAnswer: 2, 12973, 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(128) + 1*(sqrt(128) - (sqrt(128) + 0)) + (sqrt(6) + 2*sqrt(384) + sqrt(384) + sqrt(384))\/sqrt(3)))**2.\nAnswer: 410*sqrt(2) + 3387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 - 1 + 1)*(4*w - 3*w + w) + 7*w - 8 + 8)*(2*w - 3*w - w) in the form r*w + q*w**2 + h and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 4194?\nAnswer: -41a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 329454469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b*b*(b*(b**4*b)\/b*b*b)\/b*b*b*b)\/((b\/b**(-3))\/(b**(-5)\/b)))\/(((b**(-1\/3)*b)\/b**1)\/(b**(1\/8)\/(b**(-6)*b))) assuming b is positive.\nAnswer: b**(149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*o + 46. Suppose 5*n - o = 3. Solve 2*u + 2*u = -2*y + n, -4*u + 41 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let z be 148\/20 - (-28 + 21 - -14). What is the third smallest value in 0.3, 0.08, u, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 8. Let b be x(4). Let j(n) = -n**3 + 13*n**2 + 15*n - 9. Let s be j(14). Suppose 2*z - 5*m - 17 = z, -b*m = -s*z + 106. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10609.75745 + -10610. What is v rounded to 3 dps?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 4, n: 2}. Give prob of sequence nv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -794, -48, -1 in decreasing order.\nAnswer: -1, -3, -48, -794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008267 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575 + 349 = 25*i - 2135 - 541 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1101294 and -325.\nAnswer: 357920550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t + 12. Let o(r) = -r - t*r - r - r. Let z(q) = -2*q**2. Give z(o(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44, 0.2, 0.11?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = 0, 3*u - 2*o - 5 = 7. Suppose 5*y - 60 = -5*t, 0 = 5*t - 4*y + 8*y - 58. Calculate the greatest common factor of u and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 407197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**21\/d*d\/(d\/(d\/d**(-2\/49))))**(-7\/5) assuming d is positive.\nAnswer: d**(-1031\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/10)\/(-1 + 537\/540) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**7\/1050 - 23*i**6\/300 - 43*i**5\/300 + 3*i**4\/4 + 8530*i**2. Determine w so that y(w) = 0.\nAnswer: -45, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*u + 1 = 11, -5*o = -5*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (3*(-5 + 3*(sqrt(567) + -5))*2 + 2)**2).\nAnswer: -229392*sqrt(7) + 1185768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 230 = -4*x. Let i = 25 + x. Is (2 + i\/9)\/(7\/(-4683)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxz when three letters picked without replacement from azazaxzaazuazaaz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1. Suppose 4*c + 3 = -3*s - 2, s - 2 = -5*c. Let f(g) = -3*g + 3. Let v(u) = c*f(u) - 6*j(u). Let w(d) = -16*d - 16. Determine -11*v(m) + 2*w(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 4*s**2 + 5*s - 4. Calculate w(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:47 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 - 273*t + 49. What is o(27)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3838, 5, -592.\nAnswer: -3838, -592, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11240173 = 3*r. Suppose -2*n + 4*o = 2959980, 3*o + 4314276 = -4*n - r. Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*f - 5 = -r, -2*r = 2*f. Let w = -36 + 36. Suppose r*a + w*a = 10. Solve -a*m - 4 = -14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237960053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 63*s. Let j be n(21). Does 10 divide (-4 + j + 6)*38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, e: 2, f: 1, z: 4, c: 3, m: 2}. What is prob of sequence yfye?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 794391 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2\/3, 795, -2.3 in increasing order.\nAnswer: -13, -2.3, 2\/3, 795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 s when three letters picked without replacement from {p: 1, f: 1, s: 1, t: 5, d: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5109 - 5116) + -1 + 20 + (-1 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19310 is divided by 4825?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v - 12. Let u be o(3). Let m be (-12)\/6 + (3 - 2) + u. What is the highest common divisor of 322 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059121069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ce8 (base 15) in base 9?\nAnswer: 24462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) -0.2 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -18?\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1149424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 100110?\nAnswer: 100114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*j)*(j**2 + 0*j**2 - 2*j**2) + 15*j**3 + 7*j - 7*j + 2*j**3 - 3*j**3 + 0*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**2 + 86*v + 35. Calculate r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 4*x**2 - 6*x + 9. Let m be t(-5). Suppose -2*f - 2*a + 4 = m, 4*a + 16 = 0. Sort 4, -2, f, 2 in ascending order.\nAnswer: -2, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 9*d - 11. Calculate j(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*o - 123*o + 56*n = 54*n + 4, 30*n = 2*o + 28 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121387?\nAnswer: 7, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10464 and 480.\nAnswer: 52320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -1, 31, 97, 209?\n\"Answer: 2*r**3 - r**2 - r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/240 + h**5\/12 - 3*h**4\/16 + 2*h**2 - 7. Factor a(m).\nAnswer: -m*(m - 9)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjth when four letters picked without replacement from rmorrhjrjmtoojo.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4192732, 4192734, 4192736, 4192738, 4192740, 4192742?\n\"Answer: 2*p + 4192730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(171))\/(sqrt(576)*-2).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h + 5\/4*h**4 - 3\/2*h**5 + 0*h**2 + 9 - 5\/18*h**3. Solve f(c) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:58 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2512733.7 to the nearest one hundred.\nAnswer: 2512700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {f: 4, y: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2253654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i\/((i\/(i*i**(-1)))\/i))**(29\/2)\/(i\/(i*i**1))**(12\/13))\/((i\/(i*(i**(1\/5)*i)\/i*i*i*i)*i)\/i*i**(-6\/11))**(-18) assuming i is positive.\nAnswer: i**(-6074\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (140\/(-20))\/(-2 - -1). Let a = 1 - -1. Suppose 5*v = a*q - 33, 2*q - 4*q + 2*v = -30. What is the highest common divisor of q and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cddw when four letters picked without replacement from {w: 1, d: 3, q: 3, c: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/2 - 12*s - 18.\nAnswer: -3*(s + 2)*(s + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + sqrt(98))**2*-5 + (sqrt(98) + 2)**2*-5.\nAnswer: -1120 - 490*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m + 8. Let p(j) = -j + 1. Calculate k(w) - 6*p(w).\nAnswer: w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -10, -18, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176595440 and 3360?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1) + (-1208)\/(-9). Let s(p) = 134*p**2 - p - 1. Let j be s(-1). Let o = d - j. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, 1, 0.09.\nAnswer: 0.09, 0.1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/5 - 45\/(-25). Is d bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**4\/3 + 5*f**3\/6 - 33*f**2\/2 + 2*f. Let s = -1514 - -1504. Is z(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52685 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 70*p + 2063*p + 2308*p + 4169*p.\nAnswer: 8614*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(1\/2)))\/d)**36*(d*d**(2\/7))\/((d*d\/((d\/(d**(-3)*d))\/d))\/d))\/((d*d*d**(2\/3))**(-40)*(d**(-4)*d*d*d)\/d**0) assuming d is positive.\nAnswer: d**(1931\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 68\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 2, v: 2, k: 1, w: 1, t: 2}. What is prob of picking 1 v and 2 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -1067 - 788. Let n = l + -242. Calculate the remainder when n is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(425) + -1 - -4*(-3 + sqrt(425))) + -1)**2.\nAnswer: -900*sqrt(17) + 10949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k - 11*k = 144 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -59, 466, 5, -5 in increasing order.\nAnswer: -59, -5, 4, 5, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2607693 and 0.2.\nAnswer: -521538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52001*j**2 + 2573670 wrt j?\nAnswer: -104002*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 4, 584?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:37 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m = 18. Let n = 9 + m. Let c be ((-18)\/6)\/(n\/4). Is 2\/3 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 30. Let d(w) be the first derivative of 4 + 0*w - 4\/15*w**3 + 1\/10*w**i + 1\/5*w**2. Factor d(t).\nAnswer: 2*t*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 210180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700841111, 700841114, 700841117?\nAnswer: 700841120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -42*i - 2. Let b be h(-5). Let j = b + -105. Find the common denominator of -67\/4 and j\/(-4)*-1 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11639, -23279, -34917, -46553, -58187, -69819?\nAnswer: -81449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 4, z: 2, f: 2, q: 1}. What is prob of sequence eey?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/12, 3\/7, -1657, 2\/9, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 3*t - 4*t + 0*t to the form v + z*t and give v.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a - 11. Let o be n(7). Let u be o*2*4\/(-20). Let s be (2\/u)\/(4\/(-16)). Solve -4*l = 0, 5*t - 15 = s*l - 0*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b = -l + 7, -2*l + 5*b + 20 = 0. Let v = 1209 - 1213. Sort v, l, -3, -1.\nAnswer: v, -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663422?\nAnswer: 2, 3, 107, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/24 + 14*i**3\/3 + 19*i**2. Is j(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-315)\/(-56) + -6)\/(-18 + (-726)\/(-44)). Suppose 0*b - b = -4. Factor 0 + 1\/2*c - m*c**2 + 1\/4*c**b + 1\/4*c**5 - 3\/4*c**3.\nAnswer: c*(c - 1)**2*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10652\/5 - (12\/(-15))\/(-2). Let a = -1163 + k. What are the prime factors of a?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (43 - 1\/(-1))\/2. Suppose -4*j - 6 = -u. What is the second derivative of 13*s**4 + 13*s**j - 12*s - 9*s**4 wrt s?\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 4*v - 87, -4158 = -2*s - 6*v - 4056 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 124. Is 10 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-1)\/(5\/(-8)). Let b = 50 + -84. Let g = b + 34.7. Is g at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 352958369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 9*g = 4074. List the prime factors of g.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 361382541*a**3 + 544799*a**2 + 109 wrt a.\nAnswer: 2168295246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394 + -388. Suppose 2*h + h = 144. What is the highest common divisor of h and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/60*-4*-25)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/45 of a hour?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -3*q**5\/10 - 4*q**2. Let f(h) = 2*h**2. Calculate i(f(k)).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 2*u - 5. Let m(o) = -o**3 + 7*o**2 - 5*o - 3. Let y be m(6). Let d be w(y). Let k = -4 - d. Calculate the highest common factor of k and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfff. What is prob of picking 1 r and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/111 and 12\/111*((-1 - 213\/(-48)) + 3).\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 145852.\nAnswer: 145852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2217322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.81816 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5 + 1500*s**4 - 715910*s**3 - 13394600*s**2 + 28930905*s - 14821900 = 0 for s.\nAnswer: -551, -20, 1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -3*sqrt(396)*2).\nAnswer: -180*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 4*m**2 - 23*m - 119. Calculate g(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083 times 75?\nAnswer: -6.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143614145 to the nearest integer?\nAnswer: 11984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (16 - 1 - 77 - -24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -72460, -1.\nAnswer: -72460, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/124*8\/(-10)*(-19)\/((-38779)\/(-26)).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -49, 0.2, 11, 2\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3726211 by 7.\nAnswer: -3726211\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 14*d - 1. Let l be z(-16). Let g = l + 50. Solve 2*c - 11 = -3*n, 7*c - 3*c - g = -n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 7 = -3 - 12. Let k(n) = 5*n**2 + 6*n + 1. Let c(w) = -w**2 - w + 1. Calculate i*k(g) - 6*c(g).\nAnswer: g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/108 - (0 + 720001\/(-3)). Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8265721 to the power of 1\/2, to the nearest integer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m. Suppose -5*f + a = 26, -3*f + 2*a - 12 = 5. What is the tens digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725607?\nAnswer: 3, 37, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - w - 2*w + (1 - 4 + 5)*((18 + 28 - 49)*(2*w + 0*w - 4*w) - 110*w + 126*w + 72*w).\nAnswer: 186*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 822b99 + -8?\nAnswer: 822b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c + 10. Let n be k(-8). Suppose 3*w = -b - 0*b + n, -5*b - 150 = -5*w. Suppose -w = -0*a - 2*a. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 + 39085*x\/7 + 529150.\nAnswer: (x + 95)*(x + 38990)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 2. Let d = 9 + -10. Let m be t(d). Suppose -228 = -5*y + m*y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0*q + 2*q + (1 + 1 + 0)*(8*q - 4*q + 8*q) + 4*q - 3*q + 2*q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/54 - l**3\/18 - l**2\/18 - 10*l + 1. Let d(w) be the first derivative of c(w). What is n in d(n) = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 2*(sqrt(132) + (sqrt(132)*2 - sqrt(132))))\/(2*sqrt(192)))**2.\nAnswer: 99\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g**2 - 2*g - 7. Determine k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1720.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f - 70*f**2 - 10*f + 0 - 2. Let s be o(-4). Round s to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {k: 6, t: 3, b: 1, h: 1, d: 4, l: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -464067 + 3.\nAnswer: -464064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89555417, -358221670, -805998759, -1432886684, -2238885445, -3223995042?\n\"Answer: -89555418*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 77\/2 of a tonne?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/6*(-112)\/280.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + 2 + (10 + (8 - 15) - 9)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4db7b (base 15) in base 3?\nAnswer: 110122111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 - l**2 + 3*l + 7. Let p(w) = -3*w**3 + w**2 - 2*w - 4. Suppose x = -x - 2*b, 0 = -2*b - 8. Let y(i) = x*f(i) + 7*p(i). Factor y(r).\nAnswer: -r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-10) + (-786)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 3*w + 69 = 0, 0 = -5*h - 1778*w + 1779*w + 47 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 9. Suppose -2*z + z + 4 = 0. Sort w, z, 0 in descending order.\nAnswer: z, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a factor of 9314333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237 + 2*t**2 - 8*t**4 + 7*t**4 + 237 - 8*t to v*t**2 + i*t + z*t**3 + h + g*t**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 18 = 6. Solve 4*k - 2*s = -0*s + 6, 3*k = s + p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2\/5, -2\/25 in ascending order.\nAnswer: -2\/25, 2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4514, -4545, -4634, -4811, -5106, -5549?\n\"Answer: -5*x**3 + x**2 + x - 4511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 9 + 15 + a + (2*a - a - 2*a)*(301 + 305 - 228) to the form v*a + u and give v.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-14 - -3) + -8 + 20\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18045 + 26564 = 31*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = 0, 5*g = 4*i + 39282 + 67251. What are the prime factors of g?\nAnswer: 3, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50\/3*q**3 + 352\/3*q - 128\/3 - 280\/3*q**2.\nAnswer: 2*(q - 4)*(5*q - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 11*j + 3. Let p be w(-11). Suppose -p*x = x. Let o = -2.7 - -3. What is the biggest value in 0.5, x, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by 160?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14\/3 - -5. Let h = -237 - -237.1. What is the closest to h in 2, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.96 rounded to zero decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4214244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjrjjrrrjxj?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -19. What is the second derivative of -3*k**a - 4*k**3 + 5*k - 4*k + 3*k wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -222, -241, -186, -27, 266, 723, 1374?\n\"Answer: 5*w**3 + 7*w**2 - 75*w - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1622 + -0.9622. What is the third smallest value in j, -3\/7, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.28 + 0.28. Let s = k - 16. Let g = s + 39.000042. What is g rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - sqrt(156)*-4)*5)\/(sqrt(84)\/sqrt(7)*2))**2.\nAnswer: 8125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12300 + 1?\nAnswer: 12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:41 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 5}. Give prob of sequence ggd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(42)\/(-1*sqrt(726) - sqrt(6))*1*1.\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + p**2 - p**2)*(-1728 + 28420*p + 884 + 844).\nAnswer: 28420*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c70 + -b2?\nAnswer: 14b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/12 + 2*j**3\/3 + 5*j**2 + 11*j. What is the remainder when 24 is divided by b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13419 is divided by 13363.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0*c**3 + 1\/4*c**4 - 25*c + 0 + 0*c**2. Let p(i) = -2*i**2 + 33 - 33. What is z(p(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/48 and 25\/56?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2 - -1)\/(568\/(-426)). Suppose 0 + 3\/8*v + 3\/8*v**4 - m*v**2 - 3\/8*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 15. Suppose -22*b + 18*b + g = 0. Suppose b*k - 3 = 12. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0 = -4. Let y be 4 + 622\/(-208) + (0 - z). Do y and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnui when four letters picked without replacement from inun?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 106\/(-18) + 6 - 2\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253052 and 378?\nAnswer: 47826828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 815784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4\/5 - 6\/5*f - 2\/5*f**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 8*w + 11. Let b be l(-8). Suppose -f = 0, -h - 3*f = -0*f - 63. Let g = -52 + h. What is the greatest common factor of g and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60143, 118080, 176017, 233954, 291891, 349828?\nAnswer: 407765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/109 (b) -3 (c) 4 (d) 2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*r + 31*r - 142*r)*(-2 + 0 + 3)*(0 + 2 - 4)*(0 + r + 0) as q*r**2 + m + d*r and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.3, -127, -1\/5, 359?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-78))\/3)\/((-151)\/604).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/15417747 or -1?\nAnswer: -1\/15417747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 422*u + 98. List the prime factors of l(4).\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11529*y**4 - 163*y**2 - 3555319*y - 1?\nAnswer: -138348*y**2 - 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 14*r + 24. What is i(4)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:42 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29652576 to the nearest integer?\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 2*g + 2*g + (5 - 3 - 4)*(-2 + 2 + 2*g) + (4 - 1 + 4)*(6*g - 13*g - 3*g)*(19 - 2 - 4).\nAnswer: -913*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 1. Give s(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*k - 4 - 43*k - 87*k + 6 to c + f*k and give f.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -67*p**3 + p**2 + 2*p - 2. Let f be o(1). Let x = 110 + f. Calculate the common denominator of -32\/3 and ((-11)\/x)\/(4\/(-47)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - j**2 + 2*j - 2. Let k(t) = -814*t**3 - 685*t**2 + 14*t - 12. Let c(a) = -k(a) + 6*x(a). Find the third derivative of c(i) wrt i.\nAnswer: 4956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*x - 1110*x + 10663 - 163 = 0. Calculate the remainder when (1 + -6)*(-33)\/5 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*t - 23*t**2 - 143*t + 0*t**2 - t**2 + 2*t**2 + (-2*t + 0*t + 0*t)*(t - 2*t + 2*t) + (-149 + 70 + 70)*(-t**2 + 0*t**2 + 2*t**2).\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 639\/1270 - 2\/635. Let o = 59.5 + -60. Let f = -0.9 - -1. What is the second biggest value in s, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189 - -191. Suppose 4*m = -p*j + 10310, 5131 = j - 2*m - 2*m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341969 is divided by 428.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/15 + 476*d\/15 - 736\/3 = 0.\nAnswer: 8, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-4\/3))\/z**(-5))\/(z**(-2\/7))**14)**(-9\/8) assuming z is positive.\nAnswer: z**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) - (4 - 10\/(-25)). Let o(r) = r + 6. Let g be o(y). Which is bigger: g or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/56642400 and -99\/251744.\nAnswer: 56642400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**2 - 9*n**2 + n**3)*(8*n - 290837*n**2 - 3 + 290952*n**2 - 4*n).\nAnswer: 115*n**5 + 4*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788309564 divided by 4?\nAnswer: 947077391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -70753?\nAnswer: -70755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-2\/5)\/r*r*r)*r**(3\/7))\/((r*r*r*r**(1\/4))\/r**(-4\/9)))**41)**(7\/4) assuming r is positive.\nAnswer: r**(-148051\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 177 (b) -184.17 (c) -8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -0.0170181?\nAnswer: 2.9829819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -11 + (6 - (-4 - (-2 + -10))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/7 (b) 12 (c) 0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + r. Let i be q(-1). Suppose 5*k = -i*y + 65 - 25, -17 = -5*y + 2*k. Suppose 3*n = s + y, -5*n - 2*s - 15 = s. Solve n*v + 2 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 65046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 221 + 125 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 27*t - 17. Let k be o(13). What is the third biggest value in -5, k, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 4*h - 32. Let u be 1\/(-1)*(h + -3). Does 13 divide 2 - u\/((-1)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4296 and 17678040.\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 725634.\nAnswer: 7981974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.8902 and 10?\nAnswer: 188.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*t + 4352, 2*c = -30 + 24. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 6:44 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 98914070*v. Let r(o) = -o**2. Calculate f(r(z)).\nAnswer: -98914070*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130 = 191*i - 3411 - 1380 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 8*z**2 - 261*z + 186. Give x(19).\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 313\/4 or 0?\nAnswer: 313\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 318*w + 41. Is h(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l + 48*l - 5*l - 2 - 10*l - 28*l. Suppose 2*f - 4*f - 4 = 0. Determine s(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -16*c**3 - 904*c**2 + 455*c - 57 = 0.\nAnswer: -57, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*l - 51, 0 = -3*j - 5*l + 60 + 29. Suppose 10 = 3*q + x - 9, 0 = 5*q - 2*x - j. Let o(p) = p - 2. Give o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 68277.\nAnswer: 546216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 446818067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/3300)\/(871\/(-130) + 7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 31, 73, 133, 211, 307, 421?\n\"Answer: 9*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26523, 33086, 39649, 46212, 52775, 59338?\nAnswer: 65901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.2, 607, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let w = 19 - 43. Let t = 74\/3 + w. Which is greater: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15220 and 339259888?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(10) + sqrt(20)\/sqrt(2)*3 + sqrt(10) - -4*1*sqrt(10))\/(-3*sqrt(4)\/sqrt(2) - 1*sqrt(4)\/sqrt(2)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147960 and 57540?\nAnswer: 1035720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -3*a - 94. Suppose -h**4 + a*h - 54 + 32*h**3 - 10*h - 3*h**4 - 72*h**2 + 162 = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (391\/95 - (0 + 2)) + -150*297\/24750?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*u - 6 - 0, 0 = u + 2*k - 4. What is the smallest value in u, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 86*a. Let o(c) = -5*c - 2. Let i(g) = -3*g**2 + 75*g + 30. Let q(w) = i(w) + 15*o(w). Determine n(q(t)).\nAnswer: -18*t**4 - 258*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.463001 weeks in nanoseconds?\nAnswer: 2699223004800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 56*i = 981 - 2281 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**8\/84 + q**5\/60 + 2*q**2 + q. Let c(v) be the first derivative of x(v). What is the third derivative of c(r) wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 g when three letters picked without replacement from {g: 7, q: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3522859, 3522857, 3522865, 3522889, 3522935?\n\"Answer: z**3 - z**2 - 6*z + 3522865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-2)\/4)\/1). Let k be p\/((-2 - -2) + 2). What are the prime factors of ((-2)\/(-4))\/(k\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13112608?\nAnswer: 2, 409769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -d - 5, 4*h = 2*d + 18. Let m = -0.272 + 1.272. What is the closest to m in -1\/8, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(2\/19))*i*i)\/i*i)**(-49))**(-1\/4) assuming i is positive.\nAnswer: i**(441\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(140)\/(sqrt(80)\/sqrt(2)))\/(-1*sqrt(175)*-1))**2 + -2.\nAnswer: 3*sqrt(2)\/5 + 351\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/21)*f*f**(1\/10)*f assuming f is positive.\nAnswer: f**(481\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 23.\nAnswer: -28\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*m - 130 = -352*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29)\/(-9) - (-6)\/(-27). Let l(v) = h*v - v + v. Let s(n) = -n**2 - 5. Let r(m) = -2. Let p(d) = 5*r(d) - 2*s(d). Determine l(p(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 11. Let x be j(8). Let h(p) = 3*p**2 + 6*p - 6. Let c(k) = -k**2 - 2*k + 2. Let z(b) = 17*c(b) + 6*h(b). Calculate z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 47*r. Let n(y) = -3*y - 519. Determine n(x(l)).\nAnswer: -141*l - 519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18376 + 183693\/10. Let a = -519 - -45673\/88. Calculate the common denominator of z and a.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 g when four letters picked without replacement from {g: 7, f: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(13 + -3 + 0). Solve 4*j + j = -n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.4 + -21.38. Let z = f - -0.98. Which is the third biggest value? (a) 6 (b) z (c) 5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(153))\/sqrt(9).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7596e (base 15) to base 8.\nAnswer: -1331203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 6*p + 2. Let b be a(3). Solve -1 + b = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 877053368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(((-128)\/56)\/(-8)). Let k(t) be the first derivative of 4*t - w + 13\/2*t**2. What is the first derivative of k(u) wrt u?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 12:34 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -390*q**5 + 54*q**5 - 34*q + 139*q**5 wrt q?\nAnswer: -3940*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4150554210 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1013671 and 4.\nAnswer: -0.4054684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/2 + 270629*n - 541257\/2 = 0. What is n?\nAnswer: 1, 541257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 - 83*d - 124. Is n(25) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -22 - -6) + 3 + -5 + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-146)\/(-73) + ((-53)\/17 - -1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 113 (c) 573 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5439*x = -5*v + 5444*x + 40, -3*v - 5*x = 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(-2*a + 3*a + 0*a) - 3*a + 2*a - a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/115 + 807\/230. Let b = 0.6 - -0.66. Let k = b - 1.46. What is the biggest value in 1\/7, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 9*x + 3. Calculate the remainder when n(-6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19439794 + -19439785.999993. Let z = -8 + u. What is z rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.6 + 22.6. Let c = 0.1 - -0.9. Let l = -3 + c. What is the nearest to l in 3, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314832?\nAnswer: 2, 3, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679 = -252*t - 2947 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i + 125*i - 62*i - 26*i**3 + 51*i**3 - 18*i**3 + 2*i**2.\nAnswer: 7*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 1 + 1. Let u(h) = 2*h. Let j(z) = -z. Let w(k) = 13*j(k) + 6*u(k). Determine m(w(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -90 - (-18 + 0 + (-37 - (-28 - 17)))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence all when three letters picked without replacement from lfafflalllba?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51603 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 - 124*q**3\/7 + 1922*q**2\/7.\nAnswer: 2*q**2*(q - 31)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*n - 4)*(31187 - 31187 + 291*n + (2 - 2 + n)*(-4 - 1 - 4)) - n**2 + 3 - 3 + (-2*n + 0*n + 3*n)*(-n - 1 + 1) as l*n**2 + u*n + i and give l.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 3, s: 4, o: 4, a: 1, t: 1}. Give prob of picking 1 a, 1 o, and 1 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 2:00 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q - 2. Let v be d(-5). Suppose 0 = u - 6 - 9. Suppose -u + v = -s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/11, -1800, -1\/78?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6492*f**3 + 5267*f**3 - 2213*f**3.\nAnswer: 9546*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0 + 0*o + 6*o**2 - 1\/24*o**4 + 0*o**3 + 0*o**5 + 1\/30*o**6. Find the second derivative of j(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4727160 and 5908950.\nAnswer: 23635800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 134 = 154. Let a = 22 - s. Is (27\/a)\/((-7030)\/7036 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1\/(-2))\/(2\/(-40)) and 2\/(-8)*(-26016)\/271.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-120) + 189\/180\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 1. Let r(p) = 3017*p**3 - 2786*p - 21. Let h(c) = -21*m(c) - r(c). Find the second derivative of h(y) wrt y.\nAnswer: -17850*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*z + 13, -m - z - 1 + 0 = 0. Let c(a) = -a**3 - 2*a**2 + 2*a - 4. Calculate c(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 18 - (-127 + (14 - -2)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88562, -177149, -265752, -354371, -443006?\nAnswer: -531657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*36\/60\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 133578, 533080, 1198916, 2131086, 3329590?\n\"Answer: 133167*s**2 + s + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18540 - -18544. Let r(m) be the first derivative of -l + 16\/15*m**3 + 0*m + 1\/5*m**2 + 8\/5*m**4. Solve r(x) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -90, 2, -6.\nAnswer: -90, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -2\/3 (c) -0.03 (d) -0.36 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 336. Let j be 4\/(-20) + y\/(-95) + 2. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95368.41585166 - -3\nAnswer: -95365.41585166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 4. Let n(q) = 1 + 2 + 0 + 3*q. Let f be (-4)\/(-4) + 2 + -9. What is f*n(j) + 4*h(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 + 761*n - 1527*n - 258 - 18*n**3 + 763*n.\nAnswer: -18*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -25, 5*j + 0*f + 2*f + 10 = 0. Let z = -134\/165 + 7\/33. Put j, 0.1, z in descending order.\nAnswer: 0.1, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 23. Let u(z) = -k - 6 - 3*z + 2 - 5. What is the least common multiple of 6 and u(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = 7. Suppose 0 = r*b - b - 43. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -646331.3 rounded to the nearest one hundred?\nAnswer: -646300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(j + j - 4*j) + 5*j - 12*j - 6*j + (4*j - 4*j - 4*j)*(4 + 0 - 2).\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27435 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 16195653.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ddddlddddddddddldddd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + (-2 + 12 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 6)\/(1\/3). Let b(d) = d**2 + 5*d + 4. Let k be b(-3). Let j(z) = z**3 + z**2 - 2*z - 2. Let m be j(k). Put y, m, 5 in descending order.\nAnswer: 5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13787*l - 13782*l = 5*q + 10, 4*q = 3*l - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*b**3*n**2 + 4073253*b**3*n + b**2*n**2 + b*n**2 + 541*n**2 wrt n?\nAnswer: 116*b**3 + 2*b**2 + 2*b + 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2767056501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2. Let c(x) be the first derivative of -2*x**2 - 5 + 8 - 2*x**2 + 3*x**2. What is c(o(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8501.361 rounded to the nearest ten?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 304*k**3 - 108*k**3 + 21*k**3 + (-5 + 2*k + 5)*(0*k**2 + 5*k**2 - 3*k**2) - 1 + 1 + k**3.\nAnswer: 222*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2 - 4*n + 8 + 8*n. Let u(v) = -v - 2. Calculate 2*m(w) + 7*u(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -52. Let t = -63 - r. Suppose -4*l + 2*f + 446 = -3*l, -t*f = 0. Is l 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 2976?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53861.916 - -53751. Let i = 111 + a. Round i to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 4 = 29*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1234813*x**3 + 28*x**2 + 2624.\nAnswer: -7408878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/183579 + -1369315841\/1468632. Let k = o - -930. Calculate the common denominator of 53\/20 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-153 - -135 - (-6 + 1)) + -98.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54902, -54912, -54946, -55016, -55134, -55312?\nAnswer: -55562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 10 - (1 + -21) - (-27 - -25)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1882 by -1882.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 26. Let b be m(-12). Let i be (b\/(-7))\/(1 + 1). Which is greater: i or -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 861*l**2 - 864*l.\nAnswer: 3*l*(l - 1)*(l + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*s**2 - 1205*s + 3 + 245*s + 211*s**2 + 216*s**2 - 649*s**2 to the form i*s**2 + y*s + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 9) in base 8?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18886 divided by -13?\nAnswer: -18886\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 59 = -23. Suppose 3*r = 7*r + y. Let q be 2\/3 + r + 1. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -150 + 8*m**4 + 0*m**3 - 3*m**3 + 223337596*m**2 - 223337596*m**2 as c*m**2 + l*m**4 + v + q*m + b*m**3 and give v.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 8*u - 3. Let b be d(-7). Let p be b*3\/((-9)\/(-2)). Let n be ((-6)\/3)\/((-2)\/39). Calculate the highest common factor of p and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1856, 3713, 5570, 7427?\nAnswer: 9284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/19, 0.09148, 0.68?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/6 + 4*a**2\/3 - 3*a\/2 - 12 = 0. Calculate a.\nAnswer: -8, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 1. Let z(o) = -o**2 - 5*o - 5. Let s(p) = -5*q(p) + z(p). Let r(u) be the second derivative of u**3\/2 - 9*u**2\/2 - 8853*u. What is r(s(g))?\nAnswer: -3*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0 - v + 7\/2*v**2 - 1\/6*v**3. Is w(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 7 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 2 q when four letters picked without replacement from {e: 6, q: 5, x: 1, z: 2, y: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*a**3 + 2*a**3 + 35*a**3 + 51 wrt a.\nAnswer: 204*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/24)\/(-7)*24\/330?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1801384 or -375?\nAnswer: 1801384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*1\/206460*111.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlxmlc. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/9)*(a\/(((a\/a**(-8\/3))\/a)\/a)*a)\/a*(a\/(a\/(a\/a**(-5\/12))))\/(a\/a**12) assuming a is positive.\nAnswer: a**(431\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 1\/12*i**4 + 0 + 0*i - 1\/2*i**3 - 5*i**2. Calculate u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4058 + -4034. Solve x*r - 37 = -13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 3. Let n be x(2). Suppose d - 52 = -n*d. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -9. Is o - 0\/3 - -190 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.8. Let t = 92\/21 - 14\/3. Let p = 0.3 + -0.4. Which is the nearest to p? (a) r (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.87 and 263191?\nAnswer: -6808751.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.0167 and -0.12?\nAnswer: 0.122004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + -1 + 4 + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a*m**3 - 2*a*m**2 - 4*a*m - 636*a - 15540*m**3 + m**2 - 6*m wrt m.\nAnswer: 42*a*m - 4*a - 93240*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) -300 (c) 5\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 1934*(-1)\/2. Let g = -642 + v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Suppose g*w = -3*w. Suppose -4 + 3 = -j. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 19. What is u(-16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnrn when four letters picked without replacement from {t: 1, r: 1, c: 1, n: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 2357246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:57 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 698914186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t + 1062 = -52*t + 151*t - 30*t for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:13 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-2 - 0)\/(-6). Let q be (1\/a)\/(4\/(-8)). Let b(p) = 2*p - 8. Let u(k) = -1. Suppose 117*g = -806 + 221. What is g*u(z) + q*b(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 - 191. What is the tens digit of ((-758)\/4)\/(4\/u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 284 - 400. Let w = -13 - t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from xxxssxxxxxxxxvnss.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 137?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -15, 0 in decreasing order.\nAnswer: 5, 0, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + u - 142 = -788, -2*u = -5*q + 642. Let d be q\/39 - 2\/(-3). Calculate the lowest common multiple of (21 - 1)*2\/d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011011000 - -100000010?\nAnswer: -100010111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 + 4. Let r = 6 - 5. Let q be (-2)\/6*(-9)\/r. Give w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.408134 nanograms?\nAnswer: 0.000000000000007408134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q + 1. Let c(x) = -7*x**2 + 14*x + 10. What is c(z) - 6*t(z)?\nAnswer: -z**2 + 8*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.201813 weeks?\nAnswer: 3146056502400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 - 265?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 2, r: 5}. Give prob of picking 1 q and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101450181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -695\/2, 2680\/19, 0, 0.4?\nAnswer: 2680\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, -577, -441, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 8*h - 5*h. Suppose h = 3*f + k - 7, -3*f + 1 = -2*f + k. Calculate the lowest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m**3 - 34*m**3 - 12*m**2 + 28*m**3)*(-3*m**2 + 0*m**2 + 4*m**2).\nAnswer: -21*m**5 - 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l - 1008 = 76*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 - 3*v**2 - 2*v. Give a(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 + 637\/5. Let k = 702 + -697. What is the closest to v in 0, k, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**2 - 21*r**2 - 50*r**2 + (3 - 3 + r)*(r + 0*r + r)*(5 + 0 - 3).\nAnswer: -58*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0*n - 6*n**2 + 0*n**4 + 1\/30*n**7 + 0*n**6 + 4\/3*n**3 + 0*n**5 + 0. What is the first derivative of k(u) wrt u?\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + (-11 - -5 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, x: 3, v: 1, p: 2, h: 2}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, 101.551?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-72311)\/2598 - 4\/24\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 861 + 0?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 - -14) + (-6 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x**2. Suppose 0 = -4*l - h - 11, 61*h - 57*h + 8 = -4*l. Let n(b) = 336*b**2. What is l*n(t) - 64*r(t)?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19360, -77460, -174290, -309850, -484140, -697160?\nAnswer: -948910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33526 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2505245 (base 9) to base 12.\nAnswer: -55821b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13095906 - 13095904 + 19*a + 26191811.\nAnswer: 19*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51357.35 nanometers?\nAnswer: 0.05135735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 7*b + 2. Let h be k(-6). Let v(c) = c**2 + 2*c - 2. Determine v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 10185 = -5*f, -2*f - 4*b - 546 = -4584. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5814 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -759 + 721.3. Let x = k + 30.7. What is the biggest value in -0.3, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/84 + (-54)\/72*(-188)\/(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, b: 1, l: 10}. Give prob of picking 1 b and 1 o.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*t - 2*g, 2*g + 9 = -t - 0*g. Let j = t + 4. Let p(c) = c**3 + 5*c**2 + 2*c + 3. Calculate p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ette when four letters picked without replacement from {t: 2, e: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -38, -5, -117\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 349 + -352. Let g = 0.2 + -0.1. Which is the nearest to g? (a) 0.2 (b) -3\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {j: 1, z: 2, b: 1, d: 2, p: 1, o: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -84240 divided by 45\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 40. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1710)\/33615)\/(-19)*9.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 40 = -3*y. Let j be -3 - 2*(-68)\/y. Suppose -j + 2*u - 2*u**3 + 8\/5*u**4 - 6\/5*u**2 = 0. What is u?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10074 divided by -3\nAnswer: -3358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 46*d + 3 - 4 + 1. Let l(y) = 374*y - 126*y - 123*y - 128*y. Calculate l(j(f)).\nAnswer: -138*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1402 and 2546311699?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 1\/2*k**3 + 0*k**4 + 0*k**5 + 0*k**6 + 10 + 5*k - 14*k**2 + 97\/42*k**7. Find the second derivative of l(n) wrt n.\nAnswer: 1940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) 0.4 (c) -6 (d) -4\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2490, 1977, 1452, 909, 342?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 8 - -13 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxtxxmtxxxtxttxmxt. What is prob of picking 4 x?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1554*p**5 - 14*p**3 - 1071*p + 2161*p + 14*p**3 wrt p.\nAnswer: -31080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-150)\/(-100)*(-1)\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.7 - -7. Let t = -0.35 + 4.35. What is the biggest value in -2\/5, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/129 + 119\/645. Let d = 13.853 - -0.147. Let i = d + -15. What is the nearest to i in 0, 0.4, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 8 (c) -36 (d) 4\/7 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5484*h**2 + 578*h - 295*h - 281*h.\nAnswer: 5484*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*d - 10. Find the third derivative of i + d*i**4 - i - 19*i**4 - 6*i**2 wrt i.\nAnswer: -336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/2 - 11*b\/2 = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*z**3 + 54*z**3 + 57*z**3 + 53*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w. Suppose -2*u + 0 - 42 = w. Find the common denominator of 19\/14 and (20\/(-66))\/(4\/u).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 + 2417*z**2 + 197*z + 32 wrt z.\nAnswer: -6*z + 4834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + -5)**2 - (sqrt(363) + 0).\nAnswer: -21*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144088 by 732.\nAnswer: -36022\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + 5\/15. Let t = c - -1. Suppose 0 = -i - 2*n - 6, i - n - t - 1 = 0. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*o**2*z - 777*o**2 + 493*o*z - z wrt z.\nAnswer: 5*o**2 + 493*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 (base 15) in base 12?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 2*h**2 + 7*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 597 and 0.8?\nAnswer: 477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 66429211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -994, -4358, -10094, -18202?\nAnswer: -28682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 736.267 times -3.62?\nAnswer: -2665.28654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y - 4256 = -114*y. Calculate the highest common divisor of y and 1778.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770, 1757, 2760, 3779, 4814, 5865, 6932?\nAnswer: 8015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 36*v**2 + 41*v + 72. What is m(-19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*n + 36756 = 4446 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 3:22 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11886 - -0.5.\nAnswer: 11886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 divided by 5?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 139*s - 37*s - 45*s - 50*s - 153. What is d(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 4*t**2 - 5*t**2 + 5*t**2 + 6*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -616 - 80 - 4*t**2 + 220 + (5 - 2 - 2)*(-t**2 + 0*t**2 - 3*t**2) in the form y + w*t + k*t**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5918*l + 26479*l + 15710*l.\nAnswer: 48107*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661416 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**4 - 10096*j**3 + 1876428*j**2 - 3722552*j + 1856224 = 0?\nAnswer: -2698, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(17) + sqrt(17) + (sqrt(68) - sqrt(68)*2) + 5.\nAnswer: -2*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 1364*r\/5 - 465124\/5.\nAnswer: -(r + 682)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**2 - 27. Let y(o) = -4*o**2. Calculate y(w(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8459.3937 to zero dps.\nAnswer: 8459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - (-1)\/(-2). Which is smaller: 2\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 22*c**3 - 3*c**2 + 4*c - 2. Let n be u(2). Calculate the greatest common factor of 34 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4178, -3102, -1308, 1204, 4434?\n\"Answer: 359*x**2 - x - 4536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/290*(-24)\/(-18).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29719 + -149651\/5. Let h = -78 - -288. Let y = o + h. Are y and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12366 - 12341.434. Let g = -0.166 + x. What is g rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0251 - 268.9749. Let z = k + 267. Sort 2, -2\/13, 0.4, z.\nAnswer: z, -2\/13, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07298*-4.\nAnswer: -0.29192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -439, -865, -1277, -1669, -2035, -2369?\n\"Answer: o**3 + o**2 - 436*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {r: 3, z: 1, h: 2, q: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -21 + -15 + 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 65. Let h be q(-24). Suppose -h*x = -11*x - 1314. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113208013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. Let t(p) = 510*p + 2537. Determine t(w(o)).\nAnswer: -510*o + 2537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3192612 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*l + 3. Suppose -b + l*b - 56 = 0. Suppose u - 2*u = -b. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*c - 39, -5*c - 9 = -5*o + 16. Suppose o = -6*f + 19. Suppose -5 = -5*p + 4*n, -f*n + 5*n = 5*p - 5. Is p at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -2\/1765 (c) -2\/9 (d) 72 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 3*q**3 - q**3)*((0 + 4 + 2)*(4*q**2 + 5*q**2 - 6*q**2) + (0*q**2 - q**2 - q**2)*(-1 - 1 + 1) - 32*q**2 - 7*q**2 + 9*q**2).\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, a: 1, c: 2, t: 2, m: 2, g: 4}. Give prob of sequence ccgg.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-681)\/(-51) + 966\/(-2737).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*o - 51*o = -1912 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.2532078\nAnswer: -0.0532078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j = 54. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1422203752 to the nearest 100000.\nAnswer: 1422200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298 + 151*c - 454*c + 146*c - 2*c**3 + 155*c to g*c**2 + x*c + q + w*c**3 and give q.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19953686 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110011101111011110 (base 2) in base 15?\nAnswer: -e8217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**3\/6 - 2*f**2 + 2*f. Suppose -8 = 3*s + 4. Let l be s\/(-10) + (-36)\/(-10). Determine m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-1368))\/((-26)\/156*-10).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 6. Let i be c(5). Let a be (i + -1)*24\/(-30). Let x = 35 + -19. What is the greatest common factor of x and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = p + 6, -4*a = -3*p + a - 24. Let h be (-2)\/(p*(-10)\/(-45)). Solve -y - 5 = -f + y, -h*f + y = -10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(144))**2 + -3.\nAnswer: -53\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57799480.\nAnswer: 2, 5, 103, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13022965.\nAnswer: 5, 2604593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-6))\/(2\/(-6)). Suppose u*y + 22 = -2*v + 5*y, -3*v - 5*y = 34. Let p(s) = -6*s + 2. Is 21 a factor of p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210 or 207?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 449*h - 28726. Determine n(-58).\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5*i + i - 3, 2*i = -v - 3. Put 2, v, 1, 3 in increasing order.\nAnswer: v, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j**2 - 2*j + 12. Let h be s(-6). Let q = h + -365. Is 85 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*n = 20, -3*n + 8 = 4*m + 28. Let k(r) be the third derivative of -r**4\/24 - r**3 - r**2. What is k(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-54) + (10\/228)\/((-1)\/9).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 7*y**4\/4 + 2*y**3 - 6. Find the third derivative of m(p) wrt p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000217896392 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 2*m**2 - m + 2. Let z be j(2). Suppose -o - o - o = z. Suppose -6*n + 1161 - 135 = o. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 6. Let d be q(-5). Let a be -1*((2 - 3) + 0). What is the units digit of 3 - ((-3)\/a)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 4*h - 8*h**2 - 4*h**2 + 0*h**3 - h**3 - 2. Let f be s(-10). Let p = f + 1. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 4.68?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 17.\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1\/4 (b) 0.1 (c) 0.47654\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 750400.5l?\nAnswer: 750400500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1091 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74*7\/168 + 3)*2. What is the nearest to 0.2 in 0.4, 9, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 2*i + 3. Suppose -2*j = 2*j - 16. Suppose 3*a - 2*a = j. Let u(w) = 6*w - 2 + 0*w**2 - 3*w**2 - a - 2. Determine -8*h(g) - 3*u(g).\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59\/4 of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/412625650 and 8\/453888215?\nAnswer: 4538882150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llaplbspl. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:18 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48245948.\nAnswer: 2, 449, 26863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 11 = 3*f + 1, -8 = 2*p + 3*f. Let r be -4*p\/8*2. Solve r = -u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {d: 4, q: 1, y: 8, f: 1, n: 3}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1248? (a) 3\/7 (b) -2 (c) 3\/5 (d) 0.4 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31725 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 4*t**2 - 2*t + 2. Let v be z(3). Suppose -17 = 2*f - m, -4*m + v = f - 0*f. Let a = f - -11. Solve -5*s + 5 + a = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -117, 2 in decreasing order.\nAnswer: 2, -43, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.41 + 0.01. Suppose 5*t + 588 = 2168. Let y = 2848\/9 - t. Put y, 2, l in increasing order.\nAnswer: l, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 29. Let a = j - -4. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*(-3)\/2. What is the common denominator of 12\/5 and m + (75\/8)\/(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108239 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -50. Suppose 0 = 13*a - 52. What is the remainder when g is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6565 = -6398. Calculate the remainder when 472 is divided by p.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 154. Let z(l) = 17*l - 460. Let t(m) = -11*f(m) + 4*z(m). Let v be t(13). What is the highest common factor of v and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -74*r - 1. Let v be o(1). Let j = 312 + v. Suppose -l - j = -4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22 - -1) + 0 + 1. Suppose a + 108 = 4*f. Let o = f - 20. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.6338104ns to weeks.\nAnswer: 0.00000000000003411675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:27 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6. Let z be -5*l\/((-1)\/(-1)). Suppose -4*r - 3*b = -6, r + b = 2*r - z. Solve r*k = 4*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 + 215 - (-7 - (-1 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15844*b**4 - 13*b**2 + 3*b + 1 wrt b.\nAnswer: 380256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 20. Let y(f) = f - 13. Determine 7*y(q) + 5*z(q).\nAnswer: 2*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 4*o - 18. Let f be g(-7). Let q = 15 - f. Let y = 19 - q. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384343*b - 128112*b - 128117*b - 128116*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3 in descending order.\nAnswer: 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3426\/(-14846)*(-1)\/1)\/3.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 2*h - 4*h, 4*h - 5 = -3*m. Let f be h*(-3)\/(-12)*-2. Let z = 1 - 2. Is f at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**2 - 4. Let n(z) be the third derivative of z**4\/24 - 10*z**2. Give d(n(y)).\nAnswer: -7*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*8\/(-28).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-36)*f**(-1\/7)\/(f\/((f\/(f**(2\/7)*f))\/f)) assuming f is positive.\nAnswer: f**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*t, 143*t + 14 = -k + 138*t for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*2 - (14 - -17628)*-933. Suppose 16*r = 12*r + 4*j - u, 2*j - 12344996 = 3*r. What is r rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -53. Suppose -5*r + 3*q = -2*r - 15, 0 = 5*r - 4*q - f. Suppose 4*z - 15 = -z - 5*s, 0 = -r*z + 2*s + 12. Solve 0 = h - 0 - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165111 + 553610. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**2*z**3 + 26*d**2*z**2 + 2*d*z**4 + 4*z**3 - 19 wrt z?\nAnswer: 54*d**2 + 48*d*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 12. Let j be c(-7). Find the common denominator of -121\/24 and (-103)\/24 - (0 - 4)\/j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 9. Let h(m) = -m - 11. Determine h(q(i)).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1460, -1471, -1506, -1577, -1696, -1875?\nAnswer: -2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200022102 (base 3) in base 16?\nAnswer: 3425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500190991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49944\/87451 - -4\/12493. Factor -4*k**2 + 72\/7 - 60\/7*k + 12\/7*k**3 + z*k**4.\nAnswer: 4*(k - 2)*(k - 1)*(k + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-33)*f*f*f\/f**(-18) assuming f is positive.\nAnswer: f**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 - l. Let y(h) = -7*h**2 + h. Calculate 4*o(q) + 3*y(q).\nAnswer: 11*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p - 6 = -45*p. Let b be -2*(2 + (p - 6)). Determine w, given that 60*w + 5*w**3 - 5*w**3 + 15*w**3 + 5*w**b + 15*w**3 + 65*w**2 + 20 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2205956075 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1426 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -83*c**2 - 868*c - 2211. Determine r(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/15 - 272*j\/15 + 266\/5 = 0.\nAnswer: 3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 - (-12)\/(-3). Suppose -194 + 196 = i. Let w(u) = 2*u + i*u**3 - u - u**3 - 4*u + 2*u - 3 + 6*u**2. Determine w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -0.02 (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 36. Suppose k*q + 22 = 28. Suppose -q*n - 84 = -7*n. Solve -n = -4*d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 127*y**4\/4 - 34*y**3\/3 - y**2 + 151. Find the third derivative of j(q) wrt q.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1 - (4 + -9). Suppose -4*d + 3*d - 2*o = 4, 4*d = -2*o - 4. Solve d = -3*v - 3*n, -y*n - 5 = 3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = p + 4 - 6, 3*p - 8 = 4*j. Let f be 6\/j*3\/(-9). Is (-3 + 15\/(-2))*f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1397*l + 2880*l + 228*l + 5346*l)*(-4*l**2 - l**2 + 4*l**2).\nAnswer: -7057*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 4.\nAnswer: -8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 416, 3, 5 in decreasing order.\nAnswer: 416, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 495 = -145. Let j = d - -75. Is (-2*j\/20)\/((-1)\/(-178)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 366?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13342, 26696, 40056, 53422, 66794?\nAnswer: 80172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 408122 - 269983. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/6*-2*(-5)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1692*y + 22943 - 22943 - 1694*y. Let k(n) = 26 - n**2 + 53 - 5. Calculate k(t(i)).\nAnswer: -4*i**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 34. Let a be (-5 - (-32 - -5))*1\/(-2). Let k be x(a). Sort -0.4, k, 0.2, 5 in increasing order.\nAnswer: -0.4, 0.2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -1. Suppose -o*a = -8 - 2. Find the third derivative of 4*j**a - 2*j**3 + 0*j**3 - 6*j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 t when four letters picked without replacement from kttllkkklkkktlkk?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12457?\nAnswer: 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-32)\/60*(-2)\/40?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/5)\/(16\/40). Let s(g) = 19*g - 5. Is s(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u**2*w**2 - 18*u**2*w - 10*u**2 + 2*u*w**2 - 374*u + 2*w**2 wrt u.\nAnswer: -42*w**2 - 36*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1933*p**3 + 81*p**2 + 3*p wrt p.\nAnswer: 11598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 64508508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v**2. Let y(w) = -2*w + 158. What is y(c(n))?\nAnswer: -28*n**2 + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l*(l\/((l**5\/l)\/l))\/l*(l*l**(-1\/3))\/(l*l**(-3)))\/((l\/l**(-2\/5))**(2\/17)*l\/(l*l*l**(-3)*l*l)*l**4) assuming l is positive.\nAnswer: l**(-892\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 28\/(-60)*(-2)\/(-7). Which is the smallest value? (a) -0.1 (b) 5 (c) l (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 9446862.2051?\nAnswer: 9446802.2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2367*o**2 - 293304*o + 25296 = 0.\nAnswer: -124, 68\/789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5225.974*-2\nAnswer: -10451.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 71.94. Let j = -3.16 - g. What is the closest to 0.2 in j, -3\/2, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/80 + 89*a**4\/16 + 45*a**3 + 2*a**2 - 242*a. Find v such that p(v) = 0.\nAnswer: -2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 3*y + 2*y)*(11 + 10 - 15) + 2*y + 3*y + y in the form d*y + g and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782 a factor of 76131161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l**3 + l**3 + (2 + 4 - 4)*(-70 + 70 + 9*l)*(-2 - 2*l**2 + 2).\nAnswer: -35*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 4:38 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/((t\/(t\/(t\/(t*t\/(t**(-4\/5)*t)))))\/t))\/(t\/t**(-2\/15)*t))\/(t**(-1\/7)*t**(-2\/11)))\/((t*t**(3\/2))**(-14\/9))**(-8\/7) assuming t is positive.\nAnswer: t**(-1007\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (17 - (-4 + 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 + 1)*4\/12*2. What is the highest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-44)*152\/(-114). Which is the closest to -2\/7? (a) s (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + (0 + sqrt(432) - sqrt(432)) + sqrt(432))**2 + (sqrt(48) + 1 - sqrt(9)\/(sqrt(48) - sqrt(3)) - 2*(sqrt(363) + sqrt(363)*1))**2 + -5.\nAnswer: -458*sqrt(3)\/3 + 15952\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3136 and 329882.\nAnswer: 73893568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 3*f**3 - 2*f**3 + 3 - 1.\nAnswer: -8*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5771 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -5*b**4\/24 - b**3\/6 + 60*b**2 - 4. Let y(a) = -2*a - 2*a**2 + 6*a - 4*a. What is r(y(j))?\nAnswer: 10*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.6. Let y = g - 0.9. Round y to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8313437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580610?\nAnswer: 2, 5, 258061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1849096 or -12943681\/7?\nAnswer: -12943681\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1563\nAnswer: -2\/1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*q + 3*q. Solve 0 = 3*t - 4*t - r - 9, q*r = -4*t - 31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - 7 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b15021 - -1?\nAnswer: 7b15022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/28 and -9\/154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -9 + 3. Factor 3 + 0*l**2 - 1 - 5*l**2 + l**2 + n*l**4.\nAnswer: 2*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4898.651 decades to centuries.\nAnswer: 489.8651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -35.5, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w - 59*w + 353 = 0. Let h = -207 + w. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -47*x - 2. Let o = 12 + -15. Is b(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8793*n + 668241. Determine o(76).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813639 to the power of 1\/2, to the nearest integer?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t = 9584 + 2225. Is t smaller than -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223272000*o**5 + 320033628*o?\nAnswer: 4465440000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwz when three letters picked without replacement from uwwxfmxxzxmmxzxxxx.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 5*w**2 + 36*w - 1. Calculate p(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -3511*r**3\/3 + 2609*r + 261. Differentiate z(j) with respect to j.\nAnswer: -7022*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p + p)*(17 - 18 - 125).\nAnswer: -504*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88\/3 of a decade?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21547 + 43831. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-89)\/((-3293)\/(-1480))*(-1)\/22\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from sxssxsxxxxssssxsdd.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/(z*z\/(z\/z**7)))**(-33) assuming z is positive.\nAnswer: z**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -104381.799*0.07\nAnswer: -7306.72593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -11*z**2 + 22*z + 14. What is the derivative of x(y) wrt y?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1072 + -1074. Let l = -2.95 + -0.05. Which is the nearest to z? (a) l (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136014 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: What is 36565 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/23471 and 17\/376663.\nAnswer: 180421577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u**2 - u - 1. Let c be m(2). Let a = 68 - 64. Put 5, c, a in descending order.\nAnswer: 5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -621304229706631?\nAnswer: -621304229706626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/55*5\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -26, -77, -170, -317, -530?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11092*m**2*r + m**2 + 2*m*r**3 + m*r - 840353*r**3 wrt m?\nAnswer: -22184*m*r + 2*m + 2*r**3 + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 - 4*g + 2. Let m(t) = -6*t**2 - 5*t + 2. Let v be (5 + 4\/(-4))*1. Give v*h(n) - 3*m(n).\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*((b**(-3)\/b)\/b*b)\/b)*b)*b\/b**(-1))**(-2\/5) assuming b is positive.\nAnswer: b**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/6*8\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (213 + -219)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*29238\nAnswer: -29238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49573329?\nAnswer: 3, 13, 1271111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139346.4592 rounded to the nearest 10?\nAnswer: 139350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -462497357 divided by -5\nAnswer: 462497357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17297 divided by -7?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i + 9024 = -92*i + 238*i + 1764 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10060 divided by 2012\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 3645?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -109*q**2 + 2. Let g(y) = 57*y**2 - 2*y - 9. Calculate g(x(w)).\nAnswer: 677217*w**4 - 24634*w**2 + 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.22 - -0.22. What is the nearest to -3 in -2, -1\/3, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 6*p - 14. Give r(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*m - 3*z, 0 = -2*m - 224*z + 219*z - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from vvvkvvlvvk?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 53222762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 6:33 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -4)**2 + (sqrt(35)\/(sqrt(35)\/sqrt(7)))**2 + 5 + ((sqrt(56)\/sqrt(4))\/sqrt(2)*6)**2.\nAnswer: -56*sqrt(7) + 623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3143)\/(-8 + 4 + 3). Let s = -1928 + h. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -190628\nAnswer: 5\/190628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 + 4. Suppose 2*w = 7 - 3. Let k be f(w). What is the units digit of 14 + (k\/4)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(sqrt(112) - (-2 + (sqrt(112) + 1 - sqrt(112))))**2 + ((sqrt(252) + 3*sqrt(252))\/(4*(sqrt(4) + sqrt(4)*3)))**2.\nAnswer: -3537\/16 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a factor of 25662326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -77, -3, 139 in decreasing order.\nAnswer: 139, 1, -3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 6998324?\nAnswer: 13996648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -13*f**2 - 95 + 0*f - 1\/3*f**3 - 7\/6*f**6 + 3\/5*f**5 + 0*f**4. Find the third derivative of v(k) wrt k.\nAnswer: -420*k**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b**5 - 55*b**4 + 85*b**3 + 95*b**2 - 50*b - 40 = 0. Calculate b.\nAnswer: -2, -1, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13252*q**2*z - 2*q**2 - q - 4*z + 3254 wrt z?\nAnswer: 13252*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:12 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32401, 32813, 33515, 34513, 35813, 37421, 39343, 41585?\nAnswer: 44153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-3))\/2*(-6)\/5. Let o(n) = -9*n**2 + 6*n**2 - 2*n - 5 + 2*n**3 + 5*n. Let h be o(a). What is the third biggest value in 14, -1\/4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 10*u**2 - 8*u - 7. Let b be (68 - 80) + 3\/((-3)\/(-14)). Let n(r) = r**3 + 3*r**2 - 3*r - 2. Calculate b*d(l) - 7*n(l).\nAnswer: l**3 - l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 54538.\nAnswer: 1\/54538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/2))\/c*c**2)\/(c**1)**16)\/((c**1*c\/(c**(-1\/2)*c))\/(c*c*c\/c**(-5)*c*(c*c**1)\/c)) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574 + 7*x**2 - 8*x**2 - 29*x + 30*x + 0*x**2 + 5395.\nAnswer: -x**2 + x + 4821","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3 - -6) + 11 + 22.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1430, -6851, -15132?\n\"Answer: -8281*f + 9711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - q**2. Suppose -4*x - c + 4 = 2*c, -4*x - 4*c + 4 = 0. Let t(o) = -9*o**3 + 2*o**2. Determine x*t(p) + 3*i(p).\nAnswer: -6*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -68.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1063595457 to the nearest integer?\nAnswer: 32613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/12 + (-899)\/(-1860).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2815*z + 185955. Give b(-66).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by ((-135)\/75)\/(-3*4\/540).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 48*c**2 - 48*c + 366. Is j(-46) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4 - 8. Suppose -t*h = -4*h - 4. Find the common denominator of 66\/20 + 4\/h and -11\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -998 by -4.\nAnswer: 499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38565 - 38545. What is the highest common factor of 2330 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 + 8*p + 25. Let j be b(-9). Suppose -895 + j = -2*i. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32152849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -59391 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -4*v**3\/3 + 236*v. Let l(m) = 20*m**2. What is c(l(z))?\nAnswer: -160*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 725?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687202743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806 + 387 + 422 + 4*h**2 - 3*h**2.\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168 - 2351351?\nAnswer: -2351530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/(-4) + (-15)\/20. Suppose -322 = -f*i + 278. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61771?\nAnswer: 223, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53158 or 53150?\nAnswer: 53150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (-120)\/(-18))\/((-3)\/(-9)). Suppose 5*g + 5*h - 450 = 0, 18*g - 13*g = 4*h + 414. Which is the biggest value? (a) r (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wom when three letters picked without replacement from wonma?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 + 3*s + 3. Let q = -75 - -65. Let o(d) = -9*d**2 - 5*d - 5. Let u(m) = q*v(m) - 6*o(m). Let l(n) = 16*n**2. Calculate u(l(k)).\nAnswer: 1024*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 8*y**2 + 51*y - 66. Calculate g(5).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7036599 years?\nAnswer: 8.4439188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -25*v + 3. Let d be v + 53 + (-4 - 3). Is d less than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8175.75899 rounded to the nearest one hundred?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -461 or -1955746\/4229?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.92308 litres to millilitres.\nAnswer: 38923.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 979 - 959. Solve 5*t + 5 = -w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-1))\/j)**(-6\/11))**(-49) assuming j is positive.\nAnswer: j**(294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 + 0*v**2 - 2*v**2)*(-7*v**2 + 16*v - 16*v) + 21*v**2 - 21*v**2 - 33*v**4 to the form l*v**3 + c*v**2 + q*v**4 + y + u*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -842, 3, -3\/5, 5, 9\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 9*c + 13. Calculate b(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51494\/9 + 5685. Let k = l + 200\/9. What is the common denominator of k and 2\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = 2*g, 2*f + 2 = -f - 5*g. Let l be f*3 - (-8 - -8). Solve -3*w - 13 = 5*b, 2*w = l*b - 3*w + 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 116, 165, 246, 359, 504, 681, 890?\n\"Answer: 16*x**2 + x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.7247 decades in millennia?\nAnswer: 5.647247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/11, 0.2, 4.8992?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 + o**2)*(1714 + 39*o**2 - 1714).\nAnswer: -39*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37180 (base 13) to base 4.\nAnswer: -120233113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317*d**2*r**3*t**2 - 23*d**2 - d*r**2 - 6*d*t**2 + 1879*r**3 wrt d?\nAnswer: -634*r**3*t**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*p - 17, p = -5*a + 4 + 1. Suppose a*z = -8, -2*w + 2*z = 4*z + 2. Solve 0 = w*g + 6 + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = 4*f - 32*o + 5, -7102*f - 2*o - 32 + 2 = -7104*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-8)\/3)*135\/6. Let j = u + 170. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9842 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/11, 9, 3, -0.04, -4, -2\/3 in descending order.\nAnswer: 9, 3, -0.04, -2\/3, -10\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1263 + 7*o**2 + 424 + 425 + 415.\nAnswer: 7*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 7, t: 1, b: 1}. Give prob of sequence ouo.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*m = 103*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 11:12 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/47, 2\/33, 5, -0.3, -0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/(-12) + 112\/24. Find the third derivative of -22*c**2 + 0*c**2 + 7*c**2 + 23*c**o wrt c.\nAnswer: 1380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300748 divided by 322?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 16033*p - 639721. Determine r(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -79808 and -0.00586639.\nAnswer: -79808.00586639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, -29, -5 in decreasing order.\nAnswer: -3\/11, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1. Let k(j) = 52*j + 58. Let y(z) = -7*z - 8. Let x(q) = k(q) + 4*y(q). Determine -156*t(i) + 6*x(i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 65*c**5 - 640*c**4 - 12320*c**3 - 22160*c**2 + 90480*c + 14400 = 0.\nAnswer: -6, -2\/13, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m - 7 + 9*m**2 - 2 - 2 + m**3. Let s be w(-8). Suppose 2*q = -s*v + 11, -2*q = q - 9. Calculate the greatest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-5049)\/11))\/(3\/(-90)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -767829 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221994 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371186722 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 49*l - 293 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3\/((-18)\/4)*-21 and ((-49590)\/(-450) + -121)\/(6\/(-10)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 10. Let p(c) = 220*c + 5. Is p(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 8*b**2 + 9*b - 9. Let r be u(7). Suppose 5*a - 23 = 2*j - r*j, -2*a + 2*j = -22. Calculate the least common multiple of a and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -354, -1336, -2946, -5184, -8050, -11544?\nAnswer: -15666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*b**2*p*v - 142214*b**2*v**2 + b*p*v**2 - 47*b*p + 62*p*v**2 + 3*p wrt b?\nAnswer: 42*p*v - 284428*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:06 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 + 6 = -3*s, 4*s - 4*i - 28 = 0. Let v be ((3 - 4) + s)\/(-5). Let o be 6\/(-9)*6 - 4. Which is greater: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*y + 16, -28*t + y - 6 = -29*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z - 2. Calculate the remainder when (-1)\/2*-4 - -25 is divided by u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25443?\nAnswer: 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2 + 1\/2. Which is the closest to 1? (a) 11 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s**2 - 5*s + 11. Is v(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335831?\nAnswer: 41, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/165)\/((36\/3019605)\/3). Let l = -27446 - g. What is the common denominator of l and 83\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 17) + (-8 - -3) + (-4 - -1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = 0, 2*q - 3 - 1 = 2*t. Let v be 12\/4 + 1 + -4. Sort t, 5, 4, v.\nAnswer: t, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 67 and 263\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 2*sqrt(1700) - (sqrt(1700) + 1 + (sqrt(1700) - (-1 + sqrt(1700))**2) + sqrt(1700)))*6 + 5.\nAnswer: -180*sqrt(17) + 10229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 5. Let v be w(-3). What is the remainder when (150\/(-9))\/((-6)\/9 + 0) is divided by (-1 - (0 + -2)) + v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/(48\/144). Let j(f) = -4*f**3 + 6*f**2 + f + 6. Let s(o) = 5*o**3 - 5*o**2 - o - 5. Let a(v) = -5*j(v) - 6*s(v). What is a(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -18678160\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/7))**(5\/7)\/((v\/v**0)\/v*v\/(((v*v**14*v)\/v)\/v)) assuming v is positive.\nAnswer: v**(692\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3441.5 + -3326. Round f to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*d**3 + 0*d + d**2.\nAnswer: -d**2*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1128, 1128, 1132, 1140, 1152, 1168?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20986755.\nAnswer: 3, 5, 17, 82301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2292\/5 or -458?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24882, 24877, 24872?\nAnswer: 24867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7241, -9, 4, -5 in ascending order.\nAnswer: -7241, -9, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142.9 + 143. Let c = 1.2 + -0.2. What is the nearest to 1\/2 in c, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(56)\/sqrt(32) + sqrt(28)\/sqrt(4)*6)*-4*-2 + 5 + -2.\nAnswer: 43 + 52*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 5.3. Which is the nearest to 0? (a) -0.2 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008541 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 35.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 2*y**7\/147 + 967*y**6\/105 + 4323*y**5\/70 + 2876*y**4\/21 + 1916*y**3\/21 + 7126*y. Find x, given that f(x) = 0.\nAnswer: -479, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:35 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14796.96 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 3*n**5 + 10*n**5 + (-18*n**3 + 0*n**3 - n**3)*(n + n**2 - n) + 3*n**5 - 3*n**5 - n**5.\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*p + 3 = 11, -5*z = -4*p - 23. Let x(j) = j**3 - 3*j**2 + j + 2. Let l be x(z). Solve 0 = -l*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 37775698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 r, and 1 c when four letters picked without replacement from nnclcoccnoznllrnnco.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 4, -109, 4\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12778803 and 8?\nAnswer: 102230424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 3*v - 2*v)*(8*v - 2*v - v) + (0 + 0 + 3*v)*(-2*v + 4*v + 0*v) + 31*v**2 + 27*v**2 - 14*v**2 in the form s + f*v**2 + m*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x + 301. Suppose -2*p + 98 = 4*k, -k = -p + 4*p - 32. Let z = k + -9. What is the remainder when b(26) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1720)\/(-360) - (-2)\/9. Suppose -3*b - 4 = 11, 145 = j*a - 4*b. Solve 9*p - 11 = a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:02 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/(-14) - 6\/(-21). Let k(t) = t. Let v(h) = -7*h - 1. Let g(m) = 6*k(m) + v(m). Calculate g(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 - 5015?\nAnswer: -5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 6*o + 4*i - 18, 3*o + 3*i - 18 = 0. Solve 2*z = -0*z + o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.558 - -0.558. Which is the nearest to -2? (a) 27 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*36\/64)\/(3\/(-4))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32a25a0 (base 11) to base 3\nAnswer: 101212222200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 1885*g**4 - 1917*g**4 - 6*g**2 + (-2*g - 4*g + 4*g)*(2*g**3 - g**3 + 2*g**3).\nAnswer: -38*g**4 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 526778299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-16)*(-1952)\/(-122)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 58*i = 54*i + 44, -5*q = -i - 73. Let d(h) = -h**2 + 23*h - 92. What is d(q)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -269\/2140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**4 - 616*a**3 - 2716*a**2 + 39336*a = 0.\nAnswer: -149, -11, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 22*q**2 + 1 + 14*q**2 - 14*q wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 t, and 1 m when four letters picked without replacement from tnmtn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 2, -1, 0, -48 in ascending order.\nAnswer: -48, -1, 0, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:01 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 35, 34, 31?\n\"Answer: -p**2 + 4*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5*(-2865)\/764. Which is the second biggest value? (a) 2 (b) -2\/15 (c) 6 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**(-6\/5)*(v\/(v**(-42)*v))\/v*v assuming v is positive.\nAnswer: v**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, 44, 192\/11 in increasing order.\nAnswer: -0.13, 192\/11, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/17 + 288*c**4\/17 - 290*c**3\/17.\nAnswer: 2*c**3*(c - 1)*(c + 145)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 626 = 5*s - c, 0 = -3*s + 3*c - 372. Let b = 185 - s. List the prime factors of b.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1284809 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 10\/(-290) + 881230\/203?\nAnswer: 17364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose g*x - 23 = 19. Suppose 2*b - r = 5, -4*b + 0*r + r = -5. Solve x = 4*n - 2*h - b*h, 2*h = -3*n - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6994*k - 82. Let i be z(-7). Round i to the nearest 100.\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/7)*j)\/(j\/j**(-10)*j))\/((j*j**(-2))\/j)**1 assuming j is positive.\nAnswer: j**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-1))\/(1*2). Suppose 0 = -5*m + 13*m - 56. Suppose -12*f + m*f + 1125 = z. Calculate the greatest common factor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358101135 and 5.\nAnswer: 358101135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -29368*k**2\/5 + 7326*k\/5 + 4\/5 = 0.\nAnswer: -2\/3671, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 51\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10770 + 10761.01. Put 0, d, 1, -0.1, -1\/2 in descending order.\nAnswer: 1, 0, -0.1, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoeeoeenoeeeonnneoeo. Give prob of picking 2 o.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 928?\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1112 divide 2121046592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.929 less than 57272?\nAnswer: 57269.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 88\/(-260)*68\/48. Let q = o + 9\/26. Let b = -2 + 1. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12872*x**3 - 38626*x**3 + 12891*x**3 + 12862*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 4 + -1 + (4 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 197*1 + (-5 - (-5 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -103*a - 37. Let t be x(-2). What is the highest common divisor of t and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + 1782\/81 + -30.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a + 3*d + 14, 4*d = -12. Let f be 8 + 4 + 0 + (-35)\/5. Solve 0*o + 4*o - f*w + 7 = 0, -a*o - 3 = -3*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose -4*i = -2*u + 2, 2*i - 3*i - 17 = 5*u. Put u, g, 0 in decreasing order.\nAnswer: g, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 8*x**2 - 2*x - 12. Let r be t(-8). Put 3, -13, r in increasing order.\nAnswer: -13, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17909999 to the power of 1\/2, to the nearest integer?\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, -269, -0.05, 0.1 in descending order.\nAnswer: 0.4, 0.1, -0.05, -2, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266, -1072, -2438, -4382, -6922, -10076, -13862?\nAnswer: -18298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*a**2 + 2 + 35*a**3 + a - 20*a**3 + 2*a - 6*a**3 + 11*a**3 in the form m*a**3 + q + k*a + v*a**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 + 5 - 5)*(756*b**2 + 143*b**2 + 24*b**2) - 3*b - b**5 + 3*b.\nAnswer: 3691*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*b + 180, 5*j + 198 = -5*b - 17. Let z be -6 + 1 - -1 - 89. Let v = j - z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32a - -bcf?\nAnswer: ef9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10240 + -10240. Suppose -3*f = f - 12. Let v(u) = 0*u**3 + u + 2*u**3 - f*u**3 + 7. Calculate v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -85*t - 248. Suppose -a = 5 - 8. Let b(m) = -28*m - 83. Let q(o) = a*f(o) - 8*b(o). What is the derivative of q(y) wrt y?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -4685.4 and 71.\nAnswer: -4614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17236, 34473, 51710, 68947, 86184, 103421?\nAnswer: 120658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -582*i - 20731. Determine f(-36).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1399265 and 199895?\nAnswer: 1399265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let y(l) = 2*l**2 - 10*l. Let u(s) = -4*s**2 + 21*s. Let i be (2\/(-4))\/((-2 - 0)\/12). Let n(r) = i*u(r) + 5*y(r). Determine q(n(t)).\nAnswer: -4*t**2 + 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150073241*k*y**3 - 3*k - 277981*y - 1 wrt y.\nAnswer: -900439446*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23988288, -47976565, -71964842?\nAnswer: -95953119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1323*8.\nAnswer: -25.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 5*w + 4. Let x be f(4). Let t(b) be the first derivative of -2 + 0*b + 2\/3*b**3 + x*b**2. Let a(s) = 3*s. Calculate t(a(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*i - 56*i + 165*i to g*i + n and give g.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35561987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2170*t = 2174*t - 4*h - 116, -4*t + h = -17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 36. Let w(t) = -3*t - 21. Let q be w(p). Find the common denominator of ((-302)\/24)\/(-4 - q\/6) and 67\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/17 (b) -20 (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -12, 7, 26, 45, 64?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 666*u - 10 = 669*u, 4*n = -4*u + 40 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let y(a) = -8*a - 70. Let x be y(-9). Let g(d) = 8*d**2 + 7*d**2 + 6*d**2 - d**x. Calculate z(g(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 6, y: 4, r: 9}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-165)\/2)\/(3*10\/(-2460)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146937 divided by -22.\nAnswer: 146937\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 760 and 39755030?\nAnswer: 159020120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0086567 and -243?\nAnswer: 2.1035781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/4)\/(1\/2). Suppose 3*l - 3*s = -0*s + 57, x = s. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -113719, 5 in decreasing order.\nAnswer: 5, -7, -113719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 3. Let j be f(0). Suppose 6 = -j*g - 9. Suppose -2748 = 2*z - 2730. Sort -2, z, g in decreasing order.\nAnswer: -2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1\/6*m**4 + 0*m + 4 - 1\/9*m**6 + 0*m**3 + 0*m**2 - 4\/15*m**5. Solve q(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*z + 6, -74*t - z + 18 = -69*t. Solve 2*w + t = 0, -2*h + 7*h + 3*w = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*sqrt(17)*-1 + -1 + sqrt(272))*4)**2.\nAnswer: 1024*sqrt(17) + 17664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-24) - 2\/16*-466. Which is smaller: 63 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - m + m - 2.\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 - 418. What is the tens digit of (2\/(-3))\/(4\/3)*o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.985209km to nanometers.\nAnswer: 2985209000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 19*n\/5 + 4.\nAnswer: -(n - 20)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025009986 to five dps.\nAnswer: 0.02501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 311 + -207. Suppose -u = -n + 3*b, -2*n = 2*b - b - 173. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -16*s + 1. Let j be w(1). Let t = -10 - j. Suppose 3*a - 3*d = -4*d + 27, -2*a + 18 = 3*d. Solve -t*i - 4*g = -12 - a, -i - 11 = -3*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 2:28 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2)\/(1 - (-8)\/(-6)). Sort u, 11, 2 in ascending order.\nAnswer: 2, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29991691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-6))\/((4048\/(-22))\/(-23)))\/(8\/(-12)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 3 = 11*w. Solve -13 = 4*s + g, -s + w*g - 7 - 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*v + 2256*v**3 - 2525*v**3 + 6 - 3*v**2 + 73*v as y*v**3 + n*v**2 + m + s*v and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -557, 4, 5 in increasing order.\nAnswer: -557, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112470*r**4 + 1602172 wrt r.\nAnswer: 449880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2488, -4978, -7458, -9922, -12364, -14778?\n\"Answer: h**3 - h**2 - 2494*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-85)\/(-3) + 22\/6 + -3. Solve 3*n - 6 = r, 5*n - 5*r - g = -9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 1. Let q = 14 + -13. Suppose -2 - 10 = 6*h. Let a(r) = -r + 5. Let c(o) = h*t(o) + q*a(o). Calculate c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**5\/40 - 7*l**4\/32 - l**3\/24 + 7*l**2\/16 + 1641. Factor h(m).\nAnswer: m*(m - 7)*(m - 1)*(m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2074 = 5*t + 4*h + 295, 2*t - 5*h = 738. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 11*(-102)\/(-2057)*33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y + 11. Let n be v(-7). Let l = 80 + n. Let r be (-4)\/(-2) + (l - 4). Which is the third biggest value? (a) -3 (b) -5 (c) r (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(208) + sqrt(208)*-4) + (sqrt(208) + -3 + 0)**2 + 0) + -2.\nAnswer: -288*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/47 (b) -2\/145 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 7, f: 4, s: 1, q: 5, n: 2}. Give prob of sequence nsf.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -21952152 to the nearest one hundred thousand.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 32*q - 23. Let c be g(-30). Suppose 0 = 4*i - 5*z - c, -i + 0*i + z + 9 = 0. Suppose i*u - 36 - 28 = 0. Solve -5*h + u*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/828 and 133\/630036.\nAnswer: 14490828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71695 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 445807*2.3\nAnswer: 1025356.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2151356 and 5908?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129194755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 5*o + 4*m, -2*o + 6*o - 4*m - 204 = 0. What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 70?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 5, x: 9}. Give prob of picking 3 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*1*-6*1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c - 2. Let g(m) be the first derivative of 23\/2*m**2 - 14 - 5*m. Let z(s) = -5*b(s) + 2*g(s). What is z(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 + 2*n - 2. Let s = 205 + -207. Let z(d) = -16*d**2 - 6*d + 7. Give s*z(x) - 7*o(x).\nAnswer: -3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + -11 - (4 - 21) - 1.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 4 - (-44)\/11)*709. Let b = s + -704. Let z(l) = 7*l - 1. Let v be z(3). Solve h - b*p - v = 0, p + 2 + 3 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) - (-5)\/50*73396 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12349 + 12538. Calculate the remainder when 3214 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112120221012 (base 3) to base 8\nAnswer: 1060711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -207954\/15983 at least as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10443010 + -21552?\nAnswer: 10421014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2317 and 46921.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3396*i = 3432*i + 288 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1.95. Let p = 614\/7 + -88. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, z: 3}. What is prob of sequence zsz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14 = -j - j, 3*o - 2*j = 2. Find the third derivative of 2*p**2 - p**6 - p**o - 2*p**2 + 3*p**6 wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 2, 1.9117, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 - ((-8)\/4 + -1) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 1 - 2 + 5 + (0*c + c + 0*c)*(-6 + 1 - 1) to the form p*c + b and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u - 4. Suppose 5*r + 2*j = 35, 0 = -r + j - 6*j + 7. Let n be v(r). Let w(l) = 5*l + 4*l + 7*l**2 + 762 - 760 + l**3 - n*l. What is w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 5*m - 32*m)*(4*m - 2*m - 9*m) + (-6*m**2 - m**2 + 5*m**2)*(1 - 3 + 3).\nAnswer: 187*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3285 + 3293. Let x be -3*((-94)\/(-24) + -4). Which is the smallest value? (a) 2\/19 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3347\/270 + -656\/27. Let c = b + 47\/5. Sort 3, 1, c.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99221340 to the nearest 1000000.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14871, 29742, 44613, 59484, 74355?\nAnswer: 89226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m - 12. Let z be u(6). Calculate the remainder when 47 is divided by z\/9 - (-100)\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -626 + 2426. Let t = -1116 + a. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 908*v**3 + 1745*v**3 - 1644*v**3 + (2*v**2 - v**2 - 4*v**2)*(-3*v + v + v) - 4*v**3 + v**3 + 2*v**3.\nAnswer: 1011*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l - 2 + 0 + 3 + 2 + l**2. Let m be n(-9). Let v = 5.9 + -6. Which is the third smallest value? (a) m (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12321525 (base 8) in base 5?\nAnswer: 1144310124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhouvhuvuvhrrovhhx. What is prob of picking 1 x and 1 r?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/169, 1.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -7.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(2 + 0)\/(-12). Let h = -17\/5 - -18\/5. Which is the nearest to p? (a) 5 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-2*sqrt(78)*2)\/(sqrt(6) - -4*-1*sqrt(6)) - (sqrt(52)*6 + sqrt(208))))**2.\nAnswer: -440*sqrt(13)\/3 + 25393\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {l: 1, x: 1, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15448354, 30896692, 46345030, 61793368?\nAnswer: 77241706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -926186 times -58\nAnswer: 53718788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 78882.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.9 - 31. Let q = 461 - 481. Let a = s + q. What is the second smallest value in 16, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12885978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107871*x*z**2 - 49*x*z + x - 254*z**2 - 2*z - 2 with respect to x.\nAnswer: 107871*z**2 - 49*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265\/3 + -439\/5. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.9 - -7. Let u = 5.9 + o. Let j = -7 + 2. What is the closest to -0.1 in j, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8038?\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 43135 = d, 26*m = 31*m - 4*d - 107883. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466902309.\nAnswer: 3, 155634103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 6539.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 0 - 2)*(2*z + 1 - 1).\nAnswer: -76*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o + 64. Let d(i) = -4*i - 37. List the prime factors of d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -14. Suppose 5*h + w + 0 = 0. Let y(l) = -l**3 + l**2 + 2*l + 1. Determine y(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/10)\/(2\/5). What is the derivative of -c*t + 1 + 0*t + 3*t + 2*t wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1\/f)\/f)**(-2\/103)*(f*f*f\/f**(-3\/8))\/f**(-5))\/((f\/f**1*f*f)**(-32)\/(f*f**(-2\/11)*f**(-1))) assuming f is positive.\nAnswer: f**(654535\/9064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*3 - 2\/2. Let l = -6 + x. Let f be l - (1 + 1 + -4). Is f <= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**3 + 10*g**2 + 4*g + 3. Let f be l(5). Let w = -217 - f. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*y = -21, -3*y - 47 + 31 = -2*l. Let b(m) be the second derivative of 1\/15*m**3 - l*m - 1\/10*m**2 - 1\/60*m**4 + 0. Let b(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6)*-4 + 2. Suppose f = -k - 1. Does 6 divide (16\/k)\/(5\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*d = 59*d - 149*d + 2484 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264.999456 + -265. Round w to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -68 (c) -16 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/((-381)\/(-1524)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = o, 0 + 32 = -4*o + 2*x. Let u(i) = 7*i**2 - 3*i - 38. Let c be u(-8). Let l(r) = 440*r + 4 + c*r - 873*r. Determine l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 211\/622?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c**2 - 3 - 9*c**2 + 3.\nAnswer: -46*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8 - 9 - 1352*u.\nAnswer: -1352*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2977 divide 5402665554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -311288171 - -4.\nAnswer: -311288167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 3)*(-3*n**5 - n**5 + 0*n**5).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 220, 160, 76, -32, -164, -320?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(10\/(-4) + 3). Suppose h*m = -5*v + 54 + 152, m - 3 = 0. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 + 5*d - 5. Let h be n(-6). Which is the nearest to h? (a) -4 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1764*f**3 - 5238*f**3 - 5661*f**3 + 896*f**3.\nAnswer: -8239*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 10:58 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = -9. Suppose w - 5*i + i = 33, -i + 47 = o*w. What is the remainder when 50 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3456762 and 171051?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 298*i**2 - 8*i - 10. Let j(k) = -454*k**2 + 12*k + 16. Calculate -5*j(d) - 8*y(d).\nAnswer: -114*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 1. Let q(v) = -v**2 + 2*v - 2. Let a = 1477 - 1479. Determine a*q(h) + 3*p(h).\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 + -527. Let t = 406 + c. Which is smaller: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-28 - -24) - (0 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 2, e: 1, h: 2, v: 1}. What is prob of sequence nf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 5*i**2 + 5*i + 1. Let c be f(-4). Let k = -4 - c. Let t(s) = -s - 19. Let q be t(-22). Sort k, q, 4 in descending order.\nAnswer: 4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63460602 rounded to the nearest 10000?\nAnswer: 63460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197012 is divided by 1078.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n - 2. Let k(u) = 9*u - 14. Let g be k(2). Let z be 4 - (-17 - (g - (2 + 4))). List the prime factors of f(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10*30\/24. Which is the closest to 0? (a) -2\/3 (b) 15\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)\/(i*i**4*i)*((i*i**(-2\/9))\/i)**(2\/137)*((i*i**(-2\/3))**(-19))**(-10\/3) assuming i is positive.\nAnswer: i**(19861\/1233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axee when four letters picked without replacement from {s: 1, a: 1, m: 1, t: 2, x: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 3, m: 14, b: 1, o: 1}. What is prob of sequence omy?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2500 and -37\/3750.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4.38, 1, -2, -46, 4, -2\/9.\nAnswer: -46, -2, -2\/9, 1, 4, 4.38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 1, -2\/7, -15137, -5, -116, -4?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - h - 5. Let j(x) = -44*x**3 - 2*x**2 - 3*x - 25. Give j(f) - 5*u(f).\nAnswer: -44*f**3 + 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57225011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41159562.6 rounded to the nearest ten thousand?\nAnswer: -41160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 46 = -4*y + 45, 4*y - 5*w = 2*y - 97 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 1.247?\nAnswer: 1.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (9 + -2 + -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from pgddnxk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 31*n**2 - 4*n - 22. What is x(-31)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpcpcregrpgpegr. What is prob of picking 1 p and 2 g?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 770140951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.41 - 17.59. Which is the smallest value? (a) d (b) 5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = 4 - 17. Solve t*a - 10*a + 15 = -2*w, -6 = -2*a + 5*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160568*u**3*y + 7771*u**2*y + 3*u**2 wrt u.\nAnswer: 963408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**5\/7 + 1902*v**4\/7 + 63984*v**3\/7 + 93762*v**2 + 2414637*v\/7 + 2911140\/7 = 0.\nAnswer: -599, -20, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.186 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-18) - (-2166)\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 3*d**2 + 2*d. Let k be a(-2). Let v be ((-25)\/(-20))\/(1\/k). Suppose 3*f = -0*f + v. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*z - 282*z - 488*z + 3420 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 880\/(-50) - (-2)\/(-5). Let k be (2\/32)\/(3\/b). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238980 and 1680?\nAnswer: 955920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*l + 5196, -40*s + 37*s = l - 5212. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.78 - 1.38. Which is the smallest value? (a) 4\/5 (b) v (c) 3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1\/8*h**4 - 1\/40*h**6 + 1\/2*h**3 + 0 + 25*h**2 - 1\/20*h**5 + 0*h. Factor w(z).\nAnswer: -3*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/72)\/((-4)\/(-1476)*-15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1530 and 212310.\nAnswer: 3609270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 + -199.4. Let w be 7 - (-2 + 2) - 2. Which is the second biggest value? (a) w (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228\/7182 + (-4)\/126\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 7:59 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 13*l + 30. Let h be y(-4). What is the hundreds digit of 1078\/(-3 - (1 - (h + -4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/4 of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 75*o - 2235. Determine c(30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -565\/3 + 188. Let d = 0.4 + -0.4. Which is the nearest to -2\/11? (a) f (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-52) + 15\/(-13). What are the prime factors of (-3 - -13) + 3 + i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:20 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/5 and 6\/(-4) - (-1 + (-18)\/28)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 823*s - 947*s + 2852 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36789 at most -36789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.9 - -6.9051. Round x to 4 decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 9. Let j be h(-10). Let n(d) = -8*d + 55. What is the remainder when n(j) is divided by ((-25)\/(-4))\/(-1 + 10\/8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503492 to the power of 1\/2, to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(72) + sqrt(72))**2*3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1011432 - 5.\nAnswer: -4.8988568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 29. Suppose -3*y = -j - j + 35, -5*j - 5*y + i = 0. Suppose 4*x - 50 = -2*s, s - 19 - j = 3*x. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(1\/3))*q*q*q))\/(q\/(q\/q**(8\/11)))*(q**(1\/11)\/q*q)**(1\/33) assuming q is positive.\nAnswer: q**(-370\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*h + 59*h + 70*h + 59*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2063*x + 21 = 2061*x + 5*t, 78 = -x - 0*t + 16*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 - 2 - -3. Let o be (m - (-10)\/(-4))*194. Find the common denominator of ((-21)\/30)\/(-7)*o and 74\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11950884.\nAnswer: 2, 3, 11, 103, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 15*c + 19. Let o(q) = 2*q - 4. Let t be o(-5). Let s be m(t). Let i(d) = 2*d**3 - 5*d**2 + 7*d - 1. Is i(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 443152 + -135865. Let o = -307286.339777 + y. Let q = -0.66 + o. Round q to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109, 443, 999, 1777, 2777?\n\"Answer: 111*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. Suppose -5*j + 3*i + 640 = i, -535 = -4*j - p*i. Let y = j - 92. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*(l*l**(-8\/9)\/l*l)\/l)*l**(2\/3) assuming l is positive.\nAnswer: l**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 5:19 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153 or -8?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*(sqrt(187) + -2*sqrt(187)))\/(6*(sqrt(11) + sqrt(44))) + (sqrt(1088) + -2*sqrt(1088) + -4 + sqrt(1088))**2*-1).\nAnswer: -80 + 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 3*r = -15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/11))\/u**15)**(-41) assuming u is positive.\nAnswer: u**(6355\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179208*b**3*k - 369*b**2*k - 38*b**2 + b*k + 5*k - 2 wrt b.\nAnswer: -1075248*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74576641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 3*u**2 + 3*u**2 - 2*u - 5*u**2. Let d(a) = -10*a + 2*a - 22*a. Calculate k(d(z)).\nAnswer: 900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*z - 974 = -143*z. Which is the closest to 90? (a) z (b) 5 (c) 5\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 155. Let d = 3 - -3. Is ((3 - -2) + h)*d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, 85?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**2 - 7*n. Let k be (0 - -6)*1\/(-2)*6. Let x = k - -4. Let i(a) = -3*a**2 + 2*a. Give x*i(m) - 4*c(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -4*x**3\/3 - 8*x**2 - 16*x - 22. Factor g(q).\nAnswer: -4*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-140)\/(-56)*3\/(-1310). Is g less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a + 1b55?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 25168.824?\nAnswer: -25168.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 10*j**2 - 26*j + 18. Determine h(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -276, -386, -480, -552, -596, -606?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) - (-50)\/18. Let j(m) = -4 + 2*m - h*m**2 - m**3 + 4*m - 4*m. Calculate j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 + 260. Let a = 2.1 - 2. What is the nearest to a in -9, f, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000110 (base 2) to base 14\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let u(h) = 36*h**2. Let m(j) = j**2. Let d(y) = 105*m(y) - 5*u(y). What is d(o(v))?\nAnswer: -300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -303 + 303.4. Let y = -0.1 + 0. Let x = 0.6 + y. Sort -1\/2, x, l in decreasing order.\nAnswer: x, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50382 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*n + 4181, -4185 = -i + 3*n - 0*n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 8*j - 1. Let h be b(9). Let r(u) = u**2 - 7*u - 9. Is r(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -676858*o**2 - 196818*o - 980.\nAnswer: -2*(7*o + 2)*(48347*o + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let r(o) = o - 8. What is r(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31471*i**3*t**2 - 329*i**3 + 576*i**2*t**2 + 28421*t**2 wrt i.\nAnswer: -188826*t**2 - 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 70. Suppose -3*n + 202 = s. Let f(x) = -x**3 + x**2 - 2*x - 2. Let j be f(-2). What is the highest common factor of n and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27540)\/(-1598))\/27*47.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/11 - 187942*j**2\/11 - 7332780*j\/11 = 0.\nAnswer: -39, 0, 94010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6 = o + o, -5*o + 4*m = -3. Suppose 0*y = -o*y + 390. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 2*q**6\/5 + 7*q**5\/10 - 5*q**4\/6 - 7*q**3\/3 - q**2 + 14*q. Factor j(i).\nAnswer: 2*(i - 1)*(i + 1)**2*(6*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**2 - 12*r + 44. Let m be q(7). Suppose -34*d + 12*d = m. Put -15, d, -4 in ascending order.\nAnswer: d, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 5327*s - 3*s**2 + 5318*s. Let h(x) = 11*x. Calculate h(i(v)).\nAnswer: -22*v**2 - 99*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132150 by -1762.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27840328.\nAnswer: 2, 1009, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/60 - 5) + ((-2)\/8 - (-407)\/(-4180))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16027 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: Find the common denominator of 67\/3051 and (3\/(-18))\/(8\/924).\nAnswer: 12204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1017, 1, 5 in descending order.\nAnswer: 1017, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 - 1115*j**4 + 9210*j**3 - 7130*j**2 - 46325*j - 28875 = 0. Calculate j.\nAnswer: -231, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Suppose 0 = 3*s - 6*s - 9, 0 = -b*v + 3*s - 21. Let o = v + 10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**3 - 34*v**2 - 14*v + 12. Let c be m(9). What is the derivative of -100*q - 77*q + 198*q - c wrt q?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 392663\nAnswer: -392663.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 984?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 510 = -12*g. Let b be (5 - g\/(-6))\/(4\/(-6)). Factor b*d**2 + 1\/2*d**3 - d + 0.\nAnswer: d*(d - 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:29 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1146.3 times 36\nAnswer: -41266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14.6, 17, -19, 0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 + 4226\/25. Is 0.1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f - 74*f + 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -988.8 + 989.1. What is the closest to 2.8 in -1, 3, u, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -545860 * -3\nAnswer: 1637580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from {k: 5, b: 1, m: 1, h: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -60511*s + 121079. Calculate f(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14224 and 4536?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1579312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 73*(4 - (-5)\/(20\/(-8))). Suppose 14*j - 12*j - f = 0. What is the remainder when j is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13307 + 0.1330691159. What is q rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7275\/122 and 59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 20*b + 5. Let u(a) = 2*a**2 - 24*a - 6. Let m(l) = -5*u(l) - 6*x(l). Let o(k) = k - 5*k + 2*k. What is o(m(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48821694 to 4 dps.\nAnswer: 0.4882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 242301?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 4}. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*g - 3503 = -1273 + 926 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 79 + 27*q**2 + 124*q**2.\nAnswer: 151*q**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7396?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3967*m**2 + 3742*m**2 - 70*m**3 + 7*m**3.\nAnswer: -63*m**3 - 225*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2 + 10. Suppose z + 31 = -3*g - 3*z, -m*z + 4 = 0. Let v = 32 + g. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from vvsvsvv.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43649 - 29348. Suppose -48*u - 2157 + n = 0. Calculate the highest common factor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1929190941 + 3?\nAnswer: -1929190938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8891.2 - 8891. Sort -0.4, -2, u, -2\/31 in increasing order.\nAnswer: -2, -0.4, -2\/31, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i**2 - 5*i - 5. Let n be h(-2). Suppose -n*v + 34 = -21. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 28 = 15*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 17\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3\/5 - 6417*q**2\/5 + 12879*q - 32235 = 0. Calculate q.\nAnswer: -2149, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 12:53 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*k**2 + k - 3*k - k**3 + 347 + 143*k**2 + 127*k**2.\nAnswer: -k**3 - 2*k + 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -49*k. Let y(r) = -13 - 2*r + r + 13. Give y(n(p)).\nAnswer: 49*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:57 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 80 = 6*m. Let p = -8 + m. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.078, 1\/13, 3\/7, 1.4093, 3?\nAnswer: 1.4093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 15 (c) -3 (d) 1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/320)\/(1\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuouuuuuzuzzuzohuo. What is prob of picking 3 u?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 22*s**2 + 22*s + 28. Suppose -32 = -6*w + 106. Let q be d(w). Solve 3*a - 1 = q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 10. Let s be f(-8). Let j = 10503053 + -3303057. Let v be (-2)\/(-9) - j\/s. Round v to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 16, 0 = 5*h - 2*r - 22 - 0. Calculate the greatest common factor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or -4121?\nAnswer: -4121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a - 157 - 3 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882 = 280*k - 281*k. What is the lowest common multiple of 7 and k?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + 0*w + 0 - 1 + 2*w + 0 + 0 + (2 + 4 - 4)*(-2 + 2 + 2*w) + 1 - 2*w - 1)*(-2 + 1 - 2) in the form z + d*w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*y**3 + 86*y**3 + 54*y**3 - 388*y**3 + 43*y**3.\nAnswer: -121*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - sqrt(40) - sqrt(40))\/sqrt(8) + 5*(-1 + sqrt(5)) + (sqrt(10)\/sqrt(2) + -4 - -1*sqrt(80)))**2.\nAnswer: -198*sqrt(5) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 37*u**2 - 4*u**2 + 108*u**2.\nAnswer: 135*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/(s*s*s\/(s\/(s\/((s**5\/s)\/s)))))\/(s*s**3)**(-6\/19) assuming s is positive.\nAnswer: s**(-52\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 5*j + 1. Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -153*g**3 + 4*g + 212. Let h(n) = -457*n**3 + 11*n + 635. Let b(p) = -4*h(p) + 11*i(p). What is the first derivative of b(w) wrt w?\nAnswer: 435*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8716l?\nAnswer: 871.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -414?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 27. Let z be p(11). Suppose 5*b = -3*a + 38 - 14, a = b. Let f(u) = -7*u - a*u + z*u. Give f(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243011097 rounded to the nearest one million?\nAnswer: -243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -67063094 less than -4.9?\nAnswer: 67063089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.11 - 26. Let i = l + -0.038. Let c = i - 0.07271. Round c to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 14\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = -2*v + i, -3*v + 10 = -i. Let h(c) be the first derivative of -2\/3*c**v + 0*c**2 + 0*c - 22. Let s(n) = n**2. What is s(h(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -3*c - 3, 5*c = -2*w + 39. Let b(j) = 2*j - 7. Calculate b(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 37*k**2 + 4*k + 349. Is m(31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -137. Let z = 70 + r. What is the nearest to 2 in 3, z, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/4 + 5*f**3\/3 - 511. Let u be (10\/4)\/((-2)\/(-4)). What is v(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -17. Let c(k) = 9*k**2 + 5*k - 5. Is c(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**3 - 4*m**2 - 6*m + 3. Let r(i) = -22*i**3 + 18*i**2 + 24*i - 13. Determine -9*k(c) - 2*r(c).\nAnswer: -c**3 + 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-508416.\nAnswer: -5084.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10.029, -2\/7 in increasing order.\nAnswer: -10.029, -2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 15. Let v(t) = t**3 + 5*t**2 + 4*t - 1. Let q be v(u). Is 2\/29 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/12 - (-180)\/(-48)*(-116)\/(-145).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3977337 is divided by 1472.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -1, 217, 3, 4 in increasing order.\nAnswer: -1, 0.2, 0.3, 3, 4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 59*x - 60.\nAnswer: (x - 1)*(x + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6543 - -6542.987369. Round n to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 16 = -3*q + 53, -5*g - 57 = -3*q. Let f = q + -12. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2140010 (base 6) to base 4.\nAnswer: 121330212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 49*y**2 - 267*y - 150. Let a be m(54). Solve a*h - 39 = 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*o = 8, -4*u + o = -o - 10. Suppose -3*a = a + u*l, -l = 5*a - 20. Suppose -3*v = -a*v. Do 0 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 5, i: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -10 - (-2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 1)*(0 + 8 - 5 + (1 - 1 - 1)*(4 + 2 - 2))*(-2*u - 10 + 10).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44082 is divided by 390?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 160453707 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 5\/2*y**3 - 1\/8*y**4 + 0*y + 7\/60*y**5 + 1\/120*y**6 - 9*y**2 + 0. What is the tens digit of p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.272 + 663.\nAnswer: 666.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-4*(2 + sqrt(1584)) + sqrt(1584))**2 - sqrt(1584)) + -5*-2*sqrt(1584))*1.\nAnswer: 684*sqrt(11) + 14323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhr when three letters picked without replacement from hrrcchhhc.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-96)*2)\/((-3*8\/(-72))\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 378\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 7) to base 5.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*b = n + 126, -3*n = -4*b - 217. Let p = -38 + n. Let d = -21 + p. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svsksskkkss. What is prob of picking 1 s and 2 k?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-7\/5)\/w**(1\/2))\/(w*w\/(((w\/(w\/((w*w**(-2\/13))\/w)))\/w)\/w*w)*w*w*w**(-1)))**(-39))**(-2\/5) assuming w is positive.\nAnswer: w**(-2361\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (1 + sqrt(539) + 2)) + sqrt(539)*2 + -3)**2.\nAnswer: -168*sqrt(11) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q**2 + 14*q - 7. Let t(n) = -3*n**2 - 4*n + 2. Let j(u) = 2*d(u) + 7*t(u). Let p(w) = -2*w**2 - 7. Give j(p(a)).\nAnswer: -4*a**4 - 28*a**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 2\/10*-13. Sort 2\/9, h, 2 in ascending order.\nAnswer: 2\/9, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*i**4*q - 7*i**4*r**2 - 880*q*r**2 wrt i.\nAnswer: -60*i**3*q - 28*i**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46229299 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10ccb47 (base 13) to base 5\nAnswer: -2312312243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8230883 kilograms in grams?\nAnswer: 823.0883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = -44*f - 152 + 282 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*3\/2*6\/(-84)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 15*o**2 + 13*o + 26. What is t(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -139*q + 2. Let p be l(-3). Suppose 2*w - 439 = 3*d, -2*w + 0*d - d = -p. Let n = -2330\/11 + w. Is 0.3 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-155))\/((-4)\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wddwddwdddddww. Give prob of picking 2 d and 2 w.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -647, -639, -627, -611, -591, -567, -539?\n\"Answer: 2*b**2 + 2*b - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/99 - (-332)\/18. Suppose 3*p - 6*p = 3*a + 3, -3*p + 4*a + x = 0. Let j = 3 + 0. Solve j*k - p*s = -1 - 0, s - 2 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(4*sqrt(36)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4, -4*t + 32 = 2*d - 0*t. Let b be (4 - d\/(-16)) + (-4)\/(-16). Solve 0 = -3*c - h + b, -5*c - 5*h + 2 = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*s = -8, -b - 13 = -0*s + 3*s. Let z(q) = -q**2 + 0*q**2 + 5*q**2 + q + q**3 - 3*q**b. What is z(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27728229 and -27728256 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = a. Suppose 3*g - 1 = -2*o - 3, -3*o = a*g + 2. List the prime factors of (o - -1)\/(2\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12310012 (base 4) to base 10\nAnswer: -27910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 - 885*s**4 - 117995*s**3 - 572835*s**2 - 680850*s = 0. Calculate s.\nAnswer: -85, -3, -2, 0, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07383 + 0.32617. Sort -9, 2.5, f, 5 in increasing order.\nAnswer: -9, f, 2.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from joijjjjojli.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 82 = -4*o, -4*q + 43 = -0*o + o. Suppose -3*l + g + 25 = 0, -5*l = 2*g + g - o. Which is the nearest to 2\/5? (a) 0.4 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28244 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59205.\nAnswer: 3, 5, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 845 + -827. What is the greatest common factor of g and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*k = 15, -5 - 6 = j - 5*k. Let x = 17 + j. Let t = x + 9. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*p - 20. Let i = p - -4. What is the greatest common factor of 168 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.1 (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 40. Let h = -2 - -8. What is the remainder when 95\/3 - h\/r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3429\/1143*-13*6\/126.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/18 + -2)*(3 - 0). Which is the second biggest value? (a) 5 (b) -4 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301233 + 730533. What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30103 - -34305. Which is smaller: y or 4203?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 226276.791910041 and 0.3?\nAnswer: 226276.491910041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 7*h - 9. Let g be f(4). Suppose g*z + 0*z = 18. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.329523524 - 3.\nAnswer: -2.670476476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2658 greater than or equal to -2681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*t - 4*c, 0 = -t + 5*c - 13 + 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1 - 86*l**2 + 1 + 83*l**2. Let o be j(1). Let w(g) = -g**2 - 3*g + 1. Give w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3924 (base 10) to base 12.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 7*u**2 - 5*u**2)*(2*u - 4*u + 0*u) + (2*u**2 + 0 + 0)*(u + 2*u + u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - u = 9 - 2, -n = -5*u - 21. Is n*(635 + 0)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 46*c - 11. Let o(d) = 97*d - 23. Let r(z) = 8*o(z) - 17*w(z). Let u(p) = p + 1. Let v(l) = 7. Let k(g) = -5*u(g) + v(g). Give -4*k(m) + 3*r(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 628*u - 388*u - 153*u - 334*u + 5*u**2 - 4*u**2 in the form c*u + b + n*u**2 and give c.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2 + 12*o - 1. Let t(s) = -4*s**2 + 11*s - 2. Let w(c) = -4*t(c) + 3*u(c). Suppose 6 = -3*y - 3. Let j be -4*(2 - (0 - y)). Calculate w(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3028470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 37 = 5*q, 3*s - 3*q + q = 65. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -193*w + 198*w - 12, 3*o + w = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1.58, -0.1, -258?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) + sqrt(11) + 3*(sqrt(891) + sqrt(11))) + -3.\nAnswer: -3 + sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m. Let y(q) = 3*q**2. Calculate y(n(b)).\nAnswer: 507*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2 - 2)*(-6 + 2 + 1)*(18 - 2*a - 18) as w + i*a**2 + z*a and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65288872903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/(a**6\/a)*a**(3\/7)\/a*a*a**0)\/(a**(-4)\/a*a*a*a*a\/(a*a*a*a**(1\/3)*a)*a)**(-2\/17) assuming a is positive.\nAnswer: a**(-3271\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 1*1\/1. Suppose -2*j - j + 15 = r. Suppose s - 2*s - 2*u = -21, 2*s - 42 = -j*u. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 7*c)*(-3*c**2 + c**2 + 0*c**2).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3 - 4*a**2 + 2*a + 29. What is q(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5537, 11072, 16603, 22130, 27653?\n\"Answer: -2*t**2 + 5541*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*c - 63*c - 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -70 - 2. Let c = f - -3. Let d = -15 + c. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 558 - 558.2. What is the second biggest value in 3\/4, 4\/7, -41, n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 7.9.\nAnswer: 181.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 24. Let v be 10*(3 - 6\/4). Suppose g + v = 4*g. Calculate the least common multiple of n and g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m**2 - 4*m - 3. Let h = -23 - -21. Let a be 9\/(-1) + (-4)\/h. Let x(w) = -9*w**2 - 3*w - 2. Let u(j) = a*x(j) + 5*n(j). Calculate u(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -46\/17, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 789 - 96054297.72\nAnswer: -96053508.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/2)\/((-12)\/24). Solve x*a - 186 = 61*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115259173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - t**2 - 2*t - 1. Let w be s(-1). Suppose -5*z - 2*a - a = -5009, -w*z - 2*a + 2006 = 0. Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12599 - -23879. What are the prime factors of i?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 6. Let x be f(-10). Let g = 43 + x. Suppose -3*s + 3*y = -4*s - g, -y + 7 = 2*s. Solve -d = d - s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - h - 5. Let v(q) be the third derivative of -q**5\/60 + 2*q**3\/3 + 2*q**2. Let u(t) = 2*b(t) + 3*v(t). What is the units digit of u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00081 - 0.08?\nAnswer: -0.07919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 8. Let v be k(0). Suppose v = 3*i + 2. Suppose -16 = -4*y - i*n - 2*n, -4 = -3*y + 5*n. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 4 + 4 + (-2 + 5 - 2)*(2*r**2 + 2 - 2) + 2*r**2 - 3 + 3 - 2*r**2 + r**2 + 2*r**2 - r**2 - r + r + 44 + 2*r**2 - 229 - 206.\nAnswer: 9*r**2 - 391","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 19 = 3*d + 3*c, -c = 5*d - 15. Solve s + 4 = 3*o, 2*o - 2*s - d*s = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91014032 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 9325073 to the power of 1\/2, to the nearest integer?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**4 + y**3 + 2 - 3*y**4 - 2*y - 8*y**2 + 0 + 9*y**4 as l*y**4 + h*y**2 + i*y + v*y**3 + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -26*m - 1. Let x be q(-2). Let k = x + -9. Suppose 4*p = 2*p + k. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/5 - 2*o**3\/5 - 24*o**2\/5 = 0. Calculate o.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 3309460?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1318901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1165*y - 4. Let a(u) = 3642948*u - 12507. Let g(p) = -4*a(p) + 12507*j(p). Let n(q) = 2*q. Determine g(n(s)).\nAnswer: -2274*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.32 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*q + 116 - 19, -73 = -2*s - 3*q. Suppose -24*z - 15 = -s*z. Find the second derivative of -6*u**3 + 5*u**z - 19*u - 8*u**3 wrt u.\nAnswer: -54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-10) - (0 + 4158\/15). Let p = -148 - b. Let z = 133 - p. Solve -z*m = -m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2251 = 227*u - 435 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 f, and 1 c when four letters picked without replacement from eeceaeeefemmmefm.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.794 + 0.056. Let k = f + -1.8. Let r = -2.95 - k. Put -1, r, -0.1 in descending order.\nAnswer: -0.1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -45*(-22 + 20)*(-18)\/(-15). What is the highest common divisor of y and 6372?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87267639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - 187. Let y = -222.8926 - d. Round y to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 + 3*a. Let p(v) = 14*v**2 + 10*v + 1. Let l(d) = 11*o(d) - 4*p(d). Does 6 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 516421511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/30)\/(1\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -946\/2415 + -4\/483. What is the nearest to 0.2 in b, -3\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1334 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 4*i**2)*(-i + i + 3*i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 902972612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/934 and -22\/6071.\nAnswer: 12142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255 + -255.0305. What is a rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30350250 (base 6) to base 5\nAnswer: 210312333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 7044*u - 7039*u = -20, 4*y + u + 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12161 + -1?\nAnswer: 12160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -6, -262, 0.7 in increasing order.\nAnswer: -262, -6, 0.7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12496.653 and -91639.\nAnswer: -104135.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d. Let x(u) = 2076*u**2. Determine g(x(n)).\nAnswer: 4152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -22, -44, -82, -142?\n\"Answer: -m**3 + m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 4)\/(1 + 0 + 1). Let h(q) = -q**3 - 2*q. Let w(n) = n**3 - n**2 + n. What is b*w(j) - h(j)?\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 6\/17 (c) -1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4510 = 80*l + 2*l. Let b = 1 + 1. Suppose b*c - a = c + l, 5*c - 2*a = 266. What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 77. Suppose 2*d = -2*d + h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -20*s - 1755. What is v(-51)?\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*n + 0*n - 6 = 0, -5*n = 0. Suppose -t*j + 178 = 4*a, j - 4*a - 10 = 60. Let v = 43 - 27. Calculate the remainder when j is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 54 = b. Suppose -5*p - 318 = -5*i - 2*p, 0 = 4*i - 2*p - 254. List the prime factors of 32\/b - (-14)\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*-1*sqrt(228))\/(-6*(sqrt(300) + (sqrt(300) - 1*sqrt(300)))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*a - 2*a. Suppose 0 = -n + 4*z - 2, -2*z - 14 = -0*n + 2*n. Let d = a + n. Solve -20 = -d*y - 5*b + b, -b = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-16)\/6*(-21)\/(-84))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*u + 4090 - 4090)*(-3 - 2*u + 3).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2244 and -13\/24.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -9 (c) -1 (d) 6\/43 (e) 2\/11 (f) 2 (g) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*7.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-104*x + 106*x - 52 + 13)*(-1 + 1 - 2*x) + (-4*x + 0*x + 2*x)*(2*x + x - 2*x) - x**2 + x**2 - x**2 to the form i*x + z + o*x**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 4*q**2 - 29*q - 98. Let j be d(-6). Let m be 96\/(-924) - j\/(-14). Let o = 3\/2 + -1. What is the fourth biggest value in -4, -0.02, m, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3 - 90*p**2 + 2*p + 118 wrt p?\nAnswer: 12*p - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 7*n + 11. Let s be j(5). Solve -s = -4*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 653 (base 11) to base 10\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 533703 and 13578?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11497227?\nAnswer: 3, 7, 547487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1052 - 750906\nAnswer: -751958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5408 + 5703. Is 59 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30204334 (base 5) to base 3.\nAnswer: -110020220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*a**3*k - 10*a**3 + 2*a**2*q**2 + a*q + 2*k*q**2 wrt k.\nAnswer: -67*a**3 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3 - 902*i**2 + 903*i = 0?\nAnswer: -903, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213305288?\nAnswer: 2, 7, 41, 61, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5203.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6) + -4 + (-6 - -3) + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {x: 1, i: 2, q: 1, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-120197)\/(-2)*(-660)\/(-1155).\nAnswer: 2, 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -515, -514, -513, -512, -511, -510?\n\"Answer: y - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8624.275 meters in centimeters?\nAnswer: 862427.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -4\/15, 8\/7985?\nAnswer: 8\/7985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4978868?\nAnswer: 2, 37, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3 + 774*m**2 - 6288*m + 12640 = 0. What is m?\nAnswer: -395, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -s - 7, -4*r + 0*s - 3*s = 13. What is the remainder when 26 is divided by (-2)\/r*84\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2 - -1 - -3)\/((-166)\/(-1969507))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 6399.\nAnswer: -2\/6399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 54*g**7\/7 + 138*g**6\/5 + 58*g**5\/5 - 20*g**4 + 16*g**3\/3 + 13*g. Determine z so that r(z) = 0.\nAnswer: -2, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 6*o**2 + o - 1. Suppose -4*q + 33 = -5*j, -j + 0*q - 2*q - 1 = 0. Determine x(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/10, -7, 350014, 2\/7.\nAnswer: -7, 1\/10, 2\/7, 0.5, 350014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -329*z**2 - 119*z - 714. Let f(u) = -2*u**2 - u - 6. Let p(i) = 6*c(i) - 714*f(i). Let w(k) = k. Calculate w(p(j)).\nAnswer: -546*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - n + (3 - 3 - n)*(27 - 2 - 6) + (1 + 2 - 4)*(-6*n + 0*n + 4*n))*(-4*n**3 + 2*n**3 + 4*n**3).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -23) + -172 + 234\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 8*r**2 - 3*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*p**2 - 1 - 2*p - 34*p**2 + 3*p**3 - 11*p**4 + 124*p**2 to the form j*p**4 + f + v*p + d*p**3 + o*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/8)*o**(-2\/3)*(o\/(o*(o\/o**(-31)*o)\/o))**(2\/25) assuming o is positive.\nAnswer: o**(-2011\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065238931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - -173. What are the prime factors of n?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1588832, -3177663, -4766494, -6355325, -7944156, -9532987?\n\"Answer: -1588831*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-940)\/225)\/(33\/(-165)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-0.3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574702 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041523244 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 39627 and 3472 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 745 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + 2*r**2 - 43*r - 2. Let z(t) = 7*t**3 - 5*t**2 + 84*t + 5. Calculate -10*h(s) - 4*z(s).\nAnswer: 2*s**3 + 94*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -12*c - 87. Let i(s) = -3*s - 30. Determine -2*h(a) + 7*i(a).\nAnswer: 3*a - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18944 and 925?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892942.\nAnswer: 2, 17, 26263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -65619 equal to -65580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 41*p**2 + 47*p - 206. What is m(-42)?\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = -2*h. Suppose 5*y = -d + 147, 0 = 2*d - h*y - 5*y - 234. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88*-0.075631\nAnswer: 6.655528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 266*q**2 + 4*q + 2. Let v be s(-1). What is the highest common divisor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 261 = -7*p. Let z = 84 + p. Sort -4, 4, 25, z in descending order.\nAnswer: 25, 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 675282 (b) 0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w - 16. Let z(t) = -3*t - 3. Let f(u) = 2*y(u) - 11*z(u). Give f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 8 = 3*i. Let f = 9 - i. What is the lowest common multiple of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*q + 81 = 0, 7 + 26 = -s + 4*q. What are the prime factors of (2\/6)\/(s\/(-63315))?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-80)\/(-25) + -1. Let d = 259 + -254. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1209045.\nAnswer: 2\/1209045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.7. Let r be (-2)\/((-3)\/12*2). Which is the second smallest value? (a) 5 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**(16\/5)\/l))\/l)\/l)\/(l\/l**(1\/5)))**(-3\/14) assuming l is positive.\nAnswer: l**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 35*s**3 + 6*s**2 + 6*s - 8. Let v(u) = 3*u**3 + u**2 + u. What is -o(t) + 6*v(t)?\nAnswer: -17*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.1. Let v = 0.025 - 0.065. What is the closest to z in v, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -53*o**3 - 1. What are the prime factors of s(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-770)*(-14)\/189.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.15, -0.1, -2\/13, -36 in ascending order.\nAnswer: -36, -2\/13, -0.15, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24938 is divided by 12447?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10214 is divided by 5070.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 4. Let o be g(2). Suppose 3*q - 6 = -o*q. Suppose 901 = 5*x + q*h, 170 = x - 0*h - 3*h. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-357)\/(-85)*(-450)\/(-70))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k - 8. Let a be s(-6). Suppose 3*u = -4*j + u + 62, -60 = -a*j - 4*u. What is the greatest common factor of j and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*k - 18 = 0, 3*k + 2*k = -5*h - 20. Let v = 0 + 3. Sort h, v, -4.\nAnswer: -4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 24 - 2 = 0. Suppose -2*i = 2*i + 24. Let o = i + 15. Calculate the remainder when d is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/2886)\/(((-34)\/(-153))\/((-1)\/6)).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 5*h - 48. Let c(p) = p**2 - 8*p + 73. Calculate 5*c(n) + 8*q(n).\nAnswer: -3*n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96651061 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2108043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261 and 1827.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(304) - -4*2*sqrt(304) - (3*2*sqrt(304) - sqrt(304)) - ((sqrt(304) + 0)*3 + sqrt(304)*2 + sqrt(304) + 5)))**2.\nAnswer: 80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4857*p - 106873. What is q(-22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17326811 is divided by 1732669?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2492*w**4 + 0*w**3 + 5*w**5 - 13*w + 167*w + 2498*w**4 + 0*w**3 wrt w.\nAnswer: 100*w**3 + 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61817405.\nAnswer: 5, 13, 229, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/25 and 33\/12961.\nAnswer: 324025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 - 1)*(-s + 2 - 2) + 12*s**2 - 21*s**2 - 14*s**2 + 3 - 3 - s**2 + 0*s**2 + 5*s**2 - 4*s + 2*s.\nAnswer: -20*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 120 = 3*d. Calculate the remainder when 79 is divided by ((-30)\/d)\/(1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1451051*t + 268435.\nAnswer: 1451051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 8*c. Suppose -5*b + 10 + 105 = 0. Let k = b - 15. Let a be l(k). Solve -8*t + 3*t + 20 = a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26179 and 2444.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1407806.4 - -1408149.277482. Let l = 239.8774761 - y. Let u = l + 103. Round u to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/((-2)\/(-4) + 17\/34). Let l be ((-9)\/2)\/((-50)\/(-8) + h). Calculate the highest common divisor of l and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 + 7420*r**2 - 29740*r + 29760 = 0.\nAnswer: -1488, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 433*m**2 + 12092*m - 807. Give s(403).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - k + 5. Let p be 3\/(10\/20 + (-1)\/(-10)). Suppose -2*v + 7*v + m - 1 = 0, -4*v - 5 = -p*m. Let s be h(v). Solve 0*y = s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/1764260 and -151\/6060.\nAnswer: 534570780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*n - 16, 0*y - 24 = -5*y + 4*n. Suppose -5*p = -3*w - 0*w - 195, p + 2*w - 26 = 0. Calculate the greatest common divisor of y and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 2. Let y be (-2)\/(-2)*(1 - 2). Let z = -4 - -2. Let b be z + 0 - (0 - y). Give c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 2706*g + 24516.\nAnswer: -2*(g - 9)*(g + 1362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, t: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -792?\nAnswer: 19\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 + 19 + -9 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 + 169 = 246*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1480 = -5*o + 2*q, 10*q + 592 = -2*o + 6*q. Let m = o - -456. Let h = 44 + -28. What is the greatest common factor of h and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s + 8*s - 13*s + (s - 2*s + 0*s)*(4 - 22 + 4))*(-7*s + 3*s + 0*s) to r + a*s**2 + n*s and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4 - 16. Suppose s*l - 6 = 3*l. Suppose -2*t + 7*t - 10 = 0. Solve -l*w = t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 - 135992206*y\/5 - 4623470023186609\/5.\nAnswer: -(y + 67996103)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 30 = 19*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1129, -2438, -3749, -5062, -6377?\nAnswer: -7694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -320 + 470. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 11:11 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7739929 millimeters to nanometers.\nAnswer: 773992.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcgc when four letters picked without replacement from {c: 2, g: 2, m: 2, i: 1, j: 1, o: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18873 (base 12) to base 10\nAnswer: 35799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*25\/(75\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1952 and 325191.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 - -1112333211?\nAnswer: 1113000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from xttlwtocclc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2022 and -53\/1704546?\nAnswer: 1704546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1016*f + 50788. Give y(50).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 47917 - (-31)\/(713\/(-69))?\nAnswer: 3, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 - 2390288*w**2 + 9561264*w + 28683648 = 0.\nAnswer: -597576, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) + -3)*-2)**2 + 3*-1*sqrt(147))*-4.\nAnswer: -2496 + 756*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 5413578b?\nAnswer: -54135794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119081 is divided by 527.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 13*v - 25*v. Put -5, -14, 0, v in increasing order.\nAnswer: -14, v, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/267809 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 323 - -458. What are the prime factors of o?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 4*z**2 - z + 1. Let v(f) = -5*f - 2 - f**2 - 6*f + 3*f. Let w be v(-8). Determine a(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(252)*-2) - (-2 + sqrt(343) + sqrt(343) + 1 + sqrt(343) + sqrt(343))**2.\nAnswer: -5489 + 671*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -21290685?\nAnswer: -1\/4258137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 43\/4)\/(1\/44). Calculate the greatest common factor of 43 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-2625)*30\/108.\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - 525\/(-25)) + 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 47*b - 112*b + 127*b - 65*b - 4 + 4.\nAnswer: 2*b**3 - 97*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 41, -18, 0 in descending order.\nAnswer: 41, 2, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -485*v + 473*v. Which is the closest to 1? (a) v (b) -1 (c) 27 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -304, -325, -364, -427, -520, -649?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89\/2 + -42. What is the third smallest value in -2, 0.1, r, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*l**2 + 7005 + 32*l**2 - 127*l**3 - 7008 as w*l + c*l**3 + n*l**2 + a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 14 = 2*k, -7*g + 3*k + 170 = 171 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*r**6 + 41*r**5 + 20*r**2 + r + 15?\nAnswer: -6960*r**3 + 2460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 60*l**2 + 441*l + 702.\nAnswer: -3*(l - 26)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 657\/2*o**3 - 72600*o + 0 - 35640*o**2 - 3\/4*o**4.\nAnswer: -3*o*(o - 220)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93041.24602 - -93043. Round x to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 14*y**2 - 32*y - 7. Let b be j(11). Suppose -5*t + 4*t + b*g = 13, 5*t - 7 = -4*g. Is t at least -4\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70617 - 367490831\/5204. Calculate the common denominator of -31\/2 and c.\nAnswer: 5204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*s**3 + 2*l*s**2 + l*s - 41*l + 2*s**3 - 47114233*s**2 + 54431*s - 5 wrt s.\nAnswer: 6*l*s + 4*l + 12*s - 94228466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80 - 93) + (1 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 133. Suppose 15*m - 3*m = -g. Is 21 a factor of 2\/3*(-252)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1 - 0) - 34. Suppose n + 49 + 27 = -3*l, -5*n - 320 = 3*l. Let j = k - n. What is the greatest common factor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2510.1 + -2538.0938. Let s = z + 28. What is s rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 147, -3, 2 in increasing order.\nAnswer: -3, 2, 4, 8, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -222900481 and -222900484 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 + 5*o + 7. Let q = 64 - 2. Let r = 77 - q. What is the remainder when a(6) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272766.\nAnswer: 2, 3, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 79.44\nAnswer: 4.7664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -x - 84 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110794441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 6. Let n be d(-6). Suppose f - 3*s = -5*s + 846, n = -4*s + 8. Let h = -505 + f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, 0.27409, 49?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r + 286 - 300 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = 3*c. Let f(r) be the third derivative of -r**4\/12 - 5*r**3\/6 - r**2 - 9*r. Determine f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 37*b - 40. Suppose 5*l = 5*m + 15 + 15, 0 = -m + 2. What is the tens digit of h(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s + 15*s - 43*s)*(7*s - 87 + 87).\nAnswer: -77*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*l + 3 = 10, -4*l + 8 = 0. Let z = s + -12. Let r = z + 55. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*j - 18. Solve 4*w - j - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3320 and -364874.\nAnswer: -368194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 + 141*j**2 - 927*j + 1431 = 0.\nAnswer: -53, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g + 50 + 56 - 78 in the form f*g + i and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -90*s**3 - 101*s**2 + 101*s - 1. Give d(1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -103, -127, -171, -241, -343, -483, -667?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1356*y - 412*y + 322*y + 77*y as v*y + s and give v.\nAnswer: 1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 2*g + 10. Let v(m) = -2*m**2 + 3*m + 8. Let d(o) = 2*u(o) - 3*v(o). Let f(b) = -b - 1. Calculate -d(w) + 4*f(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6645 and 111.\nAnswer: 245865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 20. Suppose 2*b = -b. List the prime factors of c(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352238896 times 0.5\nAnswer: 176119448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6279403 is divided by 23171.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f - 836 = 28*f. What is the highest common factor of 2565 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3\/5 + 214*p**2 + 15292*p\/5 + 8784 = 0.\nAnswer: -10, -4, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 + 338. Suppose m + 1 = -0. Let k(p) = p**2. Let r be k(m). What is o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 162 = 30*n, 3*h - 24617*n = -24616*n + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*y - 1434 + 1434)*(y - y**2 - y) + (-3*y + 2*y**2 + 3*y)*(-y + 248 - 248).\nAnswer: 76*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by 4.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e - 21?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-22) - (6 + (-65650)\/286) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 217. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -164896, -165431, -165964, -166495?\n\"Answer: z**2 - 538*z - 164359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:06 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 84 = -66*l - 233 - 173 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 = -2*p. Let a be 12\/(p*4\/(-24)). What is the remainder when 0 + -4 + a + 7 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2 + 579*q - 459. Calculate o(52).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16557 + d - 5518 - 5528 - 5511 + d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 120, 189, 294, 441, 636, 885, 1194?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11223 - -10?\nAnswer: 11233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -689 + 8953\/13. Find the common denominator of s and 99\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28660 is divided by 138?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 12. Let p be y(-8). What is the greatest common factor of p and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 18*f + 31*f - 11*f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -968 + 5087. What are the prime factors of t?\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 2670.\nAnswer: 13\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-48)*(-18)\/15\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20394664237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o - 468 = 40*o. Is 39 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2\/35, 0.1, 2\/15, 1, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17526450, 35052899, 52579348, 70105797?\nAnswer: 87632246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2218*v - 1510*v - 290735 + 55871 = 0 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/5 - 65*u**4\/12 + 401*u**3\/6 - u**2 + 1210*u. What is the second derivative of a(d) wrt d?\nAnswer: -72*d**2 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n + 126*n + 54 = -3*u + 67*n, -9*u + 18 = 2*n - 3*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.03 + 0.03. Let l = 1181 + -1180. What is the closest to v in 8, -5\/4, l?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -7*z**3\/3 - 3*z**2\/2 - z - 103. Let m(k) = 3*k + 289*k**2 + 2*k - 288*k**2 - 4*k. Give d(o) + 3*m(o).\nAnswer: -4*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 44 = -3*a + 4*a, 0 = -5*p - 20. Suppose -4*w - 4*s = 40, s = 4*w - 4*s + 13. What is the remainder when a is divided by ((-26)\/(-1))\/(9 + w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -84 (b) 567 (c) -2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*s = -85, m + 190 = 813*s - 772*s for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*t + 24773 = 1647 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3487462 - 0.2\nAnswer: -3487462.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*k - 57161498*h**3*k**2 + 10*h**2*k**2 - 73424*h**2*k + 5*h**2 + h*k**2 + 2*h*k + k**2 wrt h?\nAnswer: 48*h*k - 342968988*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 29*r + 23*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10840 and 1005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190) + sqrt(190) + sqrt(190))\/sqrt(10) + (sqrt(1900) + 2)**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 97?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -208, -312, -384, -412, -384, -288, -112?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14*j. Let q = 329 - 284. Let i(m) = q*m + 2*m - 41*m. Calculate i(l(b)).\nAnswer: 84*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118, 123, 132, 145, 162, 183, 208?\n\"Answer: 2*i**2 - i + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 574*a**3 + 3*a**2 - a - 2. Let x be y(2). Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2. Let j(c) = 9*c + 192. Let t(f) = j(f) - 4*u(f). Calculate the remainder when t(0) is divided by 58.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -4)\/2 + 4 + 141. Which is smaller: 154 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*r = -30, 5*k + 2*r = 5*r + 32. Let o(a) = a**2 - 7*a - 3. Give o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 9 - -8) + (0 - -1). Let m(p) = -p**2 - 7*p + 6. Let f be m(-8). Let l = a - f. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -21*d**4\/4 + 5*d**3 + 1943*d**2\/2 - 3401. Find the second derivative of u(w) wrt w.\nAnswer: -126*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/60 - x**5\/5 - x**4\/24 + 9*x**2 + 4. Let s be d(-6). Solve 7*a - 15 - s = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*n + 10, -3*x + n + 1 = 6. Let y(t) be the third derivative of -t**4\/24 - 2*t**3\/3 + 3*t**2 + 117*t. Calculate y(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 100664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -308 - 64*m**2 + 308 + 2*m**2 - 18 + 18 + (-2*m**2 + 3*m**2 + 2*m**2)*(-5 + 2 + 1) in the form i*m + a*m**2 + d and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/72 and -85\/194148.\nAnswer: 388296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 163, 811, 1899, 3433, 5419?\n\"Answer: r**3 + 214*r**2 - r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 5, -24406, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:25 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 3911.\nAnswer: -3921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2, -4*k + c - 2 = 2*c. Sort -1, k, 4, -5 in decreasing order.\nAnswer: 4, k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3817.219 times 5?\nAnswer: -19086.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -122*c**2 - 125*c**2 + 246*c**2. Let w(f) = -201*f - 2. Determine w(j(p)).\nAnswer: 201*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(309\/(-7416))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6758, 0, 1.1, -2\/7, -2\/3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 10*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1340, -1430, -1620, -1946, -2444, -3150?\n\"Answer: -6*z**3 - 14*z**2 - 6*z - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -299322240*l**3 - 69497*l**2 + 1708*l.\nAnswer: -1795933440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g - g - 8*g + (4 - 4 - 1)*(-2 - g + 2) - 4 - 2*g + 4)*(-107*g**2 - 96*g**2 + 192*g**2) to the form h*g**3 + u*g**2 + s + w*g and give h.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.113 - -44.887. Let n = -49.45 + h. Let b = 0.15 - n. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -17. Let h = 29 + w. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 4, a: 2, y: 2}. What is prob of sequence ayy?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**3\/6 + 5*l. Let h(o) = 62*o**2. What is h(r(f))?\nAnswer: 62*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -1\/60*i**5 - 23*i**2 - 2\/3*i**3 + 0*i + 0 - 5\/24*i**4. Factor x(r).\nAnswer: -(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411589507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 854629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181071 is divided by 158.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 265*n**3\/3 - n**2 + 3*n - 3. Let j be h(1). What is the greatest common divisor of 38 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 5:30 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 326*u + 2621. Let q be p(-8). Let w(x) be the second derivative of 0*x**3 + 0 + q*x - 5\/6*x**4 + 0*x**2. Let m(l) = 2*l**2. Determine m(w(y)).\nAnswer: 200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 6810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(3*y**2 + y**2 + 0*y**2 + (-6 + 5 + 2)*(2*y**2 + 4*y**2 - 5*y**2) + 2 - 4*y**2 - 2).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**3 + g**2 - g - 5. Let i(w) = w**3. Let a(v) = -6*i(v) - q(v). Let k(o) = -o**3 - 9*o**2 - 6*o - 3. Let j be k(-8). Let p = 19 + j. Give a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 12*z - 3. Let a be h(12). Let p = 4 + 1. Suppose p*c + 12 = 2. Sort a, c, 3 in increasing order.\nAnswer: a, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 4*z + 104 = -5*t, -2*t = 5*z - 196. Suppose 2*d = 3*d - t. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*m**3 + 5*m**2 - 5*m**2 - 139*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 721*l**2*z**2 + 3537*l**2 - l*z - 7*l - 460*z**2 - 2*z wrt z.\nAnswer: 1442*l**2 - 920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-6) - -4)*(-4)\/3. Let c(y) = -22*y + 1 + 27*y + 4*y**r - 7 - y**3. What is c(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z**5\/z))\/z)\/(z**1\/z))\/(z**(-2)*((z**0\/z*z)\/z)\/z) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1415\/122 (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from oaakkka?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*j + 5*j - 70, j - 20 = -w. Suppose j + 3 = 3*n. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 40 = 46. Let r(b) = -b - 27. Let v be r(-29). Sort q, v, -5, -2 in decreasing order.\nAnswer: q, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -42 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124639\/18 + 6928. Calculate the common denominator of l and -38\/39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -34189697656586.\nAnswer: -34189697656586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*m = 15, -1041*o = -1043*o + m - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 304\/22 - 6\/(-33). Suppose -2*l + 2*f - t = 0, 4*l + 6 = -2*f - 4. What is the smallest common multiple of 9\/(-2)*l\/2 and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 28 + 4. Calculate the greatest common divisor of 24 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 834\/229?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = -4*b + 28, 11 = -b + 4*x. Suppose -18 = -4*k - 2*v, 8 = b*k - 4*v - 21. Solve 0 = -k*s + 3 + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 258?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7195051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -10. What is the remainder when 11 is divided by (-1)\/(-6) - 34\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 65 - 39 - 50 + 2*i + 0*i.\nAnswer: 2*i - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208 + 229. Calculate the greatest common divisor of 210 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 14*j - 7*j - 2364*j**3.\nAnswer: -2364*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b - 45. Let j = 5 + b. What is the units digit of j\/6*(-18)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/4032 - f**5\/20 + f**2. Let r(l) be the third derivative of o(l). Let k(z) = z. Determine k(r(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -cad5?\nAnswer: cad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 - ((-6)\/3 + 3). Let l = 10 + 6. Let h = -14 + l. Solve -5*w = -h*w + p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 13*y + 30 = 0. Let c = y - -60. Let k be (-4)\/(-10) + (-28)\/c. Solve k*u = u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:53 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -15*h - 74. Determine w(-8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5648 in 3, 4, -1, -1\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 - 8\/(-12). Suppose x = -2*z + 5 + 1. What is the remainder when 4 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 77. Let l be r(43). Let b be (0 + 2)\/((-2)\/l). Let u = 1.14 - 1.2. Is b at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (1*172)\/2. Let x = -1 + a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:02 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 9 + 8*f + 1\/3*f**3 - 1\/2*f**2. List the prime factors of w(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1224.497 + -1225. Let x = 615 - 615.003. Let n = f - x. What is the closest to 0.1 in n, -3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2089*j**3 + j - j - j**2 - 1 + 1914*j**3 as g + t*j + w*j**3 + l*j**2 and give w.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 2*z**2 - 3*z + z - 2*z**4 + 3*z**4 + 21 - 9*z**3 as h*z**3 + v*z**4 + i*z + q*z**2 + t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490242 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - (-1458)\/(-210))\/(37224\/3436970). Let y = w - -6\/3619. What is the common denominator of y and 91\/66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/30*783\/(-2). Let p = q + -373. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 726*j - 5641. Determine p(8).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*p + 258 = -90*p - 72. Calculate the remainder when 710 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*g - 4*n + 10, 4*n = 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/2*(-55)\/140 and -79\/80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 11:25 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000992 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (8 - -4 - 25) - -19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78844 is divided by 166?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11424878209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from didiccccvicicccmi?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {i: 2, r: 4, c: 4, w: 2, j: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437915.\nAnswer: 3, 5, 257, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 6. Let y(t) = -1. Let g(j) = -v(j) + 6*y(j). Let s(o) = 2*o + 5*o - 4*o - 4*o. Calculate s(g(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m + 0*m)*(4 - 1 + 0)*(-2 + 2 + 2*m**2).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 192\/39 - (54\/(-26) - (-26)\/13). Let t(d) be the third derivative of 0 - d**2 + 5\/24*d**4 + 1\/12*d**x + 0*d + 0*d**3. Let t(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 8, 2\/7, -1\/6 in descending order.\nAnswer: 8, 2\/7, -1\/6, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1545.4 and -0.4.\nAnswer: -618.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*g - 23, 17*g + 6 = 16*g. Let y = -1\/3 + 1. What is the third smallest value in v, 2, y, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u + 7. Calculate i(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1474348565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let q(z) = -3*z**3 + 10*z**3 - 3*z - 3*z + z**t - 6. Let f(g) = g**3 - g - 1. Let n(v) = -6*f(v) + q(v). Factor n(o).\nAnswer: o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1084.6 + 1154.67. Let c = -72 + d. Let n = c - 0.07. Which is greater: -4\/9 or n?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4 + 954*w**3 + 969*w**2 - 3816*w - 3828 = 0.\nAnswer: -2, -1, 2, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48007?\nAnswer: 61, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103641 and 4296.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j + 13. Let u(l) = 7*l - 7. Let q(z) = 11*u(z) + 6*x(z). Determine q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76608 and 6783.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 11) + 18 + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93500?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 32688\/2270*(-10)\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 - 13540.15\nAnswer: -13540.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 - 10*k + 7. Let h(q) = -q**2 - 2*q + 1. Let f(n) = -3*h(n) + w(n). What is f(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145110, 140716, 136322, 131928, 127534, 123140?\nAnswer: 118746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 11100?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d**2 - 23*d**2 - 1 + d - 1. What is q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/19 - 793068*a\/19 + 12689600\/19 = 0. What is a?\nAnswer: -396550, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -7. Suppose -3*k - 471 = -5*v, -3*v + 3*k + 0*k = -279. Let m = h + v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 172.7438 millennia?\nAnswer: 17274.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**5\/3 + 2184*q**4 + 9157*q**3\/3 - 2618*q**2 = 0.\nAnswer: -1309, -2, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -262 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0 - 1\/56*l**4 + 0*l - 1\/294*l**7 + 1\/60*l**5 - 1\/21*l**3 + 12*l**2 + 1\/280*l**6. Solve y(n) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 - -584d?\nAnswer: 5893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -14. Let y = -65 - -70. Let v(r) = 2*r + 2. Let z(n) = 3*n + 3. Let s(i) = y*z(i) - 7*v(i). Let x(b) = -7*b - 4. Calculate h*s(a) + x(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 235, 212, 179, 130, 59, -40?\n\"Answer: -g**3 + g**2 - 19*g + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {n: 8, d: 6, c: 1, j: 3}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 69 = 2*o - 2*b, 0 = 5*o + 4*b + 506. Let y = 158 + o. What are the prime factors of (2\/(-4))\/((-3)\/y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -304, -3, -1, 39 in decreasing order.\nAnswer: 39, -1, -3, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/39*(27 + 0)*1 - -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345 - 345.1. Sort -5, k, -34.\nAnswer: -34, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 + -1.3. Let d = -1.12 + 1.127. Let i = -3.007 + d. Which is the closest to k? (a) -4 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 - 252. Suppose 0 = i - 4*h - 985 + 29, l*h - 4895 = -5*i. Does 61 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 10:01 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.2 (c) -4135 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-7 - -14) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d*d**(2\/5))**(-45) assuming d is positive.\nAnswer: d**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 84*q + 8 - 206*q to the form p + b*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*h - 422 = 4*h + 258 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10344087 * -0.1\nAnswer: -1034408.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1616276\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94846679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + -7c?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142671 - 142664.1127. Round q to 2 dps.\nAnswer: 6.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 2\/79, -59\/2194?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1011001001001110011 (base 2) to base 12\nAnswer: -1573ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578 divided by -289.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0842 to three decimal places.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 2*x)*(0*x**2 + 0*x**2 + x**2) - x**3 - 6*x**3 + 5*x**3 - 4*x**3 + 4*x**3 - x**3 + 4 + 49*x**3 - 4.\nAnswer: 45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*u + 31*u - 56*u)*(-1 + 1 - 8*u)*(-3*u + 3*u + u) in the form k*u**2 + r*u**3 + o*u + t and give r.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/7*d**2 + 0*d + 0 - 12\/7*d**3 = 0 for d.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 2*f = 12*h - 1402, 4*f - 32 = 0. What is the smallest common multiple of h and 182?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165216278?\nAnswer: 2, 643, 128473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 3 + 3)*(5*k - 1 + 1 - 5 + 5 - k + (3*k - 2*k + 0*k)*(2 - 3 - 1) + 3*k + 0*k - k - 95*k - 132 + 132) to c + u*k + o*k**2 and give o.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 5*l**2 + 6*l + 6 + 5*l**2. Let w(d) = 4*d**2 + 0*d + 13 + 3*d + 10*d + d**2. Determine 9*m(o) - 4*w(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -185, -282, -383?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*b - 3*v, 22*b + 4*v - 36 = 18*b. What is the lowest common multiple of 9 and (1\/b)\/(1\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c4 - cff5?\nAnswer: -cb31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1034 and 79\/658.\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/((-136)\/(-340))*18\/(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -3*j. Let g be 52*4\/2*j. Let v = 148 + g. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 30 (b) 1 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 40 = -6*t. Let o(d) be the third derivative of -d**4\/24 - 2*d**3\/3 + d**2. Calculate the lowest common multiple of o(t) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -40.49. Let m = z + 0.01. Let u = 1 + -0.9. Which is the nearest to u? (a) 4 (b) 1\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98363 + 98363 - 9*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26179 is divided by 8696.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -12, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -42*b + b**2 + 24*b + 18*b. Let d(t) = -2*t**2 + 219. Calculate g(d(r)).\nAnswer: 4*r**4 - 876*r**2 + 47961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5631884 smaller than 5631885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -19. What is the tens digit of i\/6*(-488)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 4, 18\/17, 0.5, -432, -2\/11, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1711d01 - 3?\nAnswer: -1711d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4 + 8*t**3\/3 + 2*t**2 - 8*t - 2. Find f, given that o(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-1)\/(-2443)*7). Suppose m = -5*b + k, b + m - 397 = 228. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l + 26 = 5*o, -3*o = -3*l - 3. Let k be 0\/((-4)\/o + 0). Suppose k = -2*g - g. Solve -4*b + 9*b + 10 = g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let q(c) = -797*c. Determine w(q(d)).\nAnswer: -797*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-4 + 4 - 2*w)*(28 - 51 - 79) to the form c + r*w and give r.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14371463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3 + 495330*m**2 - 203337450*m + 20850703750 = 0. What is m?\nAnswer: -248075, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 371 - -319. Let c = 29 + m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*r - 8 = -2*l, -14 = -4*l - 5*r. Calculate the greatest common divisor of 7 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 4:02 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 10*r + 148*r**3 - 450*r**3 - 27*r**2 + 151*r**3 + 151*r**3 to the form w*r**2 + x*r**4 + l + k*r + o*r**3 and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 12*m - 12*m - 3*m**3 - 2*m**4 + 2 to g*m**3 + k*m**4 + z*m + b*m**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/42)\/3*1\/12*4.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1\/85*-2). Let m = -66677\/16 - -4171. Calculate the common denominator of m and (6\/8)\/((-3)\/d).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 8*r = 4*r + 760 - 764, 4*l - 15*r - 170 = 31*r for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a407 - -2?\nAnswer: 1a409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:01 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 + y\/7 + 5\/7.\nAnswer: -(y + 1)*(4*y - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 30. Suppose 2*z = j*z. Solve 2 = -z*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 21*m**2 + 17*m - 58. Let i be d(-20). Solve -2*w + 1 + i = -h, 0 = w + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2283667 - 1095093. Suppose -m = 27*z - 1780840. Round z to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -6)\/(-3) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (13 - (-7 + 33)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1722 + -75771\/44. Is q less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7229*p**3 + 5*p**2 - 5*p + 5. Let v be s(5). Let i = v - -23519123\/26. Let n = 1062 - i. Find the common denominator of n and -93\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a\/(a\/(a**(2\/5)\/a)))\/a*a)*a*a)\/(a*a**4*a*a))\/((a**(-5\/3)\/a)\/((a*a**(1\/10)*a)\/a*a)) assuming a is positive.\nAnswer: a**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 2. Suppose 0 = -5*k - 2*y + 54 - 16, -2*k + y = -17. Let j(p) = -11*p**2 - 5. What is k*c(u) + 3*j(u)?\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 + 3*w**2 - 6*w + 4. What is the tens digit of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*b + 2*f, -5*b = f - 38 - 85. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 1:00 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -24, -79, -174, -321, -532, -819, -1194?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65394*c**3*d**2 + 2*c**2*d**2 - 141480*c*d**2 wrt c.\nAnswer: -392364*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j - 8*j - 36*j)*(-3 + 1 + 4) to x*j + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 != 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1738 and 44?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a**4 - 70*a - 1073 wrt a?\nAnswer: -24*a**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19732 - 8695. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*g - 21, -3*g - 2*g + 27 = x. Let l = 6 - g. Let l + 1\/3*w - 1\/3*w**2 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2404368 by 4.\nAnswer: 601092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 13. Let h be k(-7). Let y be (-380)\/(-25) + h\/5. Solve 4*x - x = -y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 336.77 - 340. Let q = -3.2299661 - h. What is q rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*q + h**3 + 8290*h**2*q - 425485*q wrt h?\nAnswer: 3*h**2*q + 3*h**2 + 16580*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28*(-1235)\/(-39900)*(-24)\/4\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + h**2 + 60*h**2 - 9)*(0 + 4 - 2) as a + i*h + j*h**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-146)\/219*6\/(-8)*6. Solve -k + 17 = -3*f, c*f - 2*k = 3*k - 37 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 2:46 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 5*u + 10. Let m(c) = c**2 + 3*c - 6. Let o(i) = 5*m(i) + 3*r(i). Let v(x) = -7 + 1 - 2*x - 2. Give v(o(b)).\nAnswer: 2*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 15000 = 24*d. Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*l - 7*x, 76*x - 74*x + 3 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 11, 29, 65, 125, 215?\n\"Answer: r**3 - r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c. Let k(j) = -j**2. Let l be (12\/8 - 1)*-2. Let h be ((-24)\/(-40))\/(1\/5). Let x(b) = -5*b**2. Let g(u) = h*k(u) + l*x(u). Determine g(d(p)).\nAnswer: 338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtj when three letters picked without replacement from ebrerteteertjjer.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 3*v)*(7 - 18 + 9).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 100045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (54\/((-180)\/10))\/(4\/(-28)*-1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 - 3788\/(-28)). Let r = q + 141. Find the common denominator of r and 407\/35 + (3 - 120\/35).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/k**(-1\/4))))**(4\/19))**(-2\/71))**37 assuming k is positive.\nAnswer: k**(-370\/1349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2281, -2314, -2361, -2416, -2473, -2526, -2569, -2596?\n\"Answer: j**3 - 13*j**2 - j - 2268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 10\/3, -3, 1.8, 21 in increasing order.\nAnswer: -3, -4\/3, 1.8, 10\/3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211100 (base 3) in base 5?\nAnswer: 4403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(21)\/sqrt(7)).\nAnswer: -6 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-121)\/66 - -1*(-2)\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -657840020 divided by -32892001?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 1.232, -1\/5, -3\/2, 0.4, -3 in ascending order.\nAnswer: -3, -3\/2, -1\/5, 0.4, 1.232, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5724481 micrometers?\nAnswer: 572.4481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 828*d + 5040. Let g be f(-6). Solve 70*j = g*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = 70*p + 516 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-422)\/(-38))\/(-1) + (-28)\/(-266). Does -12 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/6)\/l)\/l**(-3\/19) assuming l is positive.\nAnswer: l**(37\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 - 1. Let c be (3\/6 - 1)*-2. Let r be a(c). Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Suppose -v + 3 = -0*v. Let h(r) = -r**2 - 29*r + 74. Let y be h(-31). Suppose -3*q - y = -q + v*f, 17 = -5*q - f. Determine t(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7852212 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3834 and 2177286.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.105*-3132639\nAnswer: -328927.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from vvggxxwwkxvvxvgvv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 12523 - 3*h - 12523. What is n(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0*q + 0*q + (2*q**2 - q**2 + q**2)*(-3 + 4 - 2) - q**2 - q**2 + 3*q**2 + (5*q - 7 + 7)*(24*q + 3*q + 5*q).\nAnswer: 157*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3882 - 7764 - 195*x + 2145*x + 3882 to the form b*x + m and give b.\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6556, 26465, 59722, 106321, 166256, 239521, 326110, 426017?\nAnswer: 539236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*o + 2*o. Suppose 14 + 46 = -o*k. Is 45\/3*k\/(-3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - 30. Let j be a(-8). Suppose -5 = -3*u - j. Which is smaller: 3\/7 or u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -w + 3*o + 154, -5*o = 3*w - 1572. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 2*s - 30, -1 = -3*s - s + 106281*d - 106284*d + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/12 + 5*g**3\/3 - 7*g**2\/2 - 32*g - 33. Let n = -21 - -12. Determine a(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*i - 3*p + 4118 = -77*i, -5*i + 2*p = -10333. Is i a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12222, 12163, 12100, 12033, 11962, 11887?\nAnswer: 11808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2.6, -4, -0.241 in descending order.\nAnswer: 1, -0.241, -2.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 16?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9068, 10209, 11350, 12491, 13632?\nAnswer: 14773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.035 and -0.2.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 4, q: 3, a: 1}. Give prob of sequence qjr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1097*k + 4. Let z be i(1). Suppose b - z + 21901 = 0. Round b to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - f)*((-1 - 1 - 1)*(-2 + 1 + 3) + 3 - 4 - 1 - 5 - 168 - 69)*(4 - 5 + 0)*(-f + 4*f + 0*f).\nAnswer: -750*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62*((52 - 42) + (-38)\/4). Let j be 1\/4 + (-22)\/(-8). Let d(t) = 6*t**3 - t**2 + 2*t - 4. Let h be d(j). Calculate the highest common factor of h and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/5))**42)**(-49) assuming r is positive.\nAnswer: r**(-14406\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 + n**2 - 2*n. Let u be -5 - 1 - (-190 + 177). Let s(q) = -9*q**3 + q**2 - 3*q. Calculate u*f(o) - 4*s(o).\nAnswer: o**3 + 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, 36.9, 2\/9?\nAnswer: 36.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 8:15 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlnnnppnqnpdudpnqn. Give prob of picking 1 d and 1 l.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**3 - 18*b**3 + 15*b**3)*(70 - 28 - 45 - 9*b).\nAnswer: 81*b**4 + 27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b + 54*b - 6495 + 6495.\nAnswer: 87*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9858 by -601.\nAnswer: -9858\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 754882003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/640 and 49\/9573330.\nAnswer: 612693120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 2*u + u**3 + 2*u**2 - 4 + 1 - u. Let d(f) = -2*f + 5. Let x be d(4). Give w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417799, 835690, 1253581, 1671472, 2089363, 2507254?\nAnswer: 2925145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**4\/2 + 17*q - 14. What is the derivative of t(k) wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3\/4, -258, 4, 2, 0.8 in descending order.\nAnswer: 4, 2, 0.8, 3\/4, -11, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6255795kg?\nAnswer: 625579500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 729199*a**2 + 729133*a**2 + 41 - 2*a**3.\nAnswer: -2*a**3 - 66*a**2 + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.001 + 0.401. Let g be (-6)\/(-5)*3\/6. Let x = 34 + -35. Which is the closest to x? (a) 1 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -134*v. Let s(c) = -21*c**2 + 4. Let k(q) = 45*q**2 - 9. Let u(m) = 4*k(m) + 9*s(m). Determine u(y(b)).\nAnswer: -161604*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 3*y - 81, -33 = -v + 4*y. Let w = 79 - v. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*883297\nAnswer: 17665.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 + 26332635*b**2 + 34670422801080*b + 104011031409660 = 0 for b.\nAnswer: -2633262, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w + 19. Let c be j(-8). Let y = 227\/5 + c. What is the third biggest value in -3, y, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -69*t**2 - 4*t - 3. Let r(q) = -69*q**2 - 4*q - 2. Give -2*a(l) + 3*r(l).\nAnswer: -69*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = h - 42 - 49, t - 111 = -h. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 w when four letters picked without replacement from nuwsvrnnwwsvnrwwnnsr?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 - 3*r**4 - 7*r**2 + 4*r**2 + 4*r**4 + r - 4*r**3 + 2 to the form s*r**3 + w*r + x*r**2 + q*r**4 + z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2 + 4 - 1). Let o = 75 + -73. Sort -3\/7, o, c.\nAnswer: -3\/7, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -288, -584, -890, -1206?\n\"Answer: -5*r**2 - 281*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 + -1 + 0)*0)\/2. Suppose 3*i = 4*j + 8*i - 73, -4*i = -4*j + 100. Suppose -2*x + j + 18 = 0. Solve 4*q + q + x = n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v - 305 - 17 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose k*x + n - 99 = -n, -50 = -x + 5*n. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7 + 6*z**3 - 21*z**3 - 2*z + 14*z**3 + 5*z**2. Let v be x(3). Which is the closest to -2\/3? (a) 2\/3 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/84 and -36\/5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 22.86111429.\nAnswer: 3.86111429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*p**6*x - p**3*x**3 - p**2*x**3 - p**2*x + 363*x**2 wrt p?\nAnswer: -14400*p**3*x - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 558*j - j**3 + 553*j + 0 in the form s*j + f + l*j**2 + w*j**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + -5 + 4 - 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15975063 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 15*z + 68, 57*n - 16 = 2*z + 55*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/3928542?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**4 + f**2 + 9 + f**4 + 2*f**3 - 26*f + 8*f + 12*f in the form d*f**2 + p*f**3 + n + y*f + v*f**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.00797, 16, -2\/11 in ascending order.\nAnswer: -2\/11, -0.00797, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/14 + (-2180646)\/(-63) + 6. What is t rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -34121641*z**2. Let m(n) = 2*n**2. Calculate u(m(f)).\nAnswer: -136486564*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 18256?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0999 from 3170.31955.\nAnswer: 3170.21965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55622745 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 21*h - 20*h - h**2 - 2.\nAnswer: (h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/2280*65 + 8\/(-4)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 78.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.4990997 to 1 decimal place.\nAnswer: -49.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 19388420*p + 18795541504820.\nAnswer: 5*(p + 1938842)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35343 divided by 189\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 346938041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + g = -3 + 16, -4*p = -2*g - 2. Suppose -p*z + 14 = j + 2*j, -5*j + 26 = 4*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283017\/22 - 12860. Let q = 309797\/30 + -10325. Calculate the common denominator of q and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3316140.761 - 3314265. Let s = 1844.761048 - p. Let q = -31 - s. Round q to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(4\/21)*o*o*((o**(-1\/16)*o)\/o*o)\/o*o*o)\/(o**23*o\/o**(-7)) assuming o is positive.\nAnswer: o**(-8693\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -43070 > -1722797\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 800907 and 76.\nAnswer: 3203628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:51 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-1)*(-4)\/(-6). Suppose -2*w - 3 = -1. What is the units digit of ((4*5)\/b)\/w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 99*s**2 + 3*s + 3. What is the tens digit of h(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123102311 (base 4) in base 13?\nAnswer: 3bb6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-9))\/((-4)\/(12*3)). Suppose -q*k = -p - 9 + 2, -5*k = 3*p - 35. Solve -3*m - k*x = x + 27, -4*x = -m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + 7*k. Let s(m) be the first derivative of 3*m**3 - 10*m**2 + 2. Let g(x) = 17*c(x) + 6*s(x). Find the second derivative of g(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 0.14, 9, 16, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, -268, -1023, -2186, -3751, -5712?\nAnswer: -8063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418000 a multiple of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*v - 5*s + 7, -4*s + 11 = -3*v. Is (v - -164)*(-2 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 64. Calculate the remainder when 51 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -151.\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 1 + 1 - 3*o**3 + 0*o**3 + o**3 + 0*o**3 + 3 + o**3 - 3 + (o**3 - o**3 + o**3)*(-1 + 4 - 1) - 4*o + 4*o + o**3.\nAnswer: 2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 - (2\/(-3))\/((-9)\/27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 11. Let o(u) = -34734*u. Give o(m(p)).\nAnswer: 34734*p**2 - 382074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 38*r. Let k be w(-3). Let l be k\/2*(-1)\/3. Suppose -15 = 5*b + 5*n, 5*b - 2*b + l = -5*n. Solve -5*s + 4*t + 20 = -0, -5*s = b*t + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1012 divide 97219804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125738 is divided by 41908.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -101101011001000001000011?\nAnswer: -101101011001000000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 11:32 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvfvffvffvvv. What is prob of sequence vf?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -134, 2, 6, 5 in decreasing order.\nAnswer: 6, 5, 2, 0, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**2\/11 - 28038*s\/11 - 28044\/11 = 0. Calculate s.\nAnswer: -1, 4674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 5*j - 107, -3*w + 2*w + 8*w - 5*j - 127 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 11) to base 8.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34620898.\nAnswer: 2, 13, 1331573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20000101 - 1000120100?\nAnswer: -1020120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 136*f + 546. Let h be g(-4). Let u(y) be the second derivative of 4*y - 3\/10*y**3 + 0 + 0*y**h - 3\/100*y**5 - 1\/5*y**4. Factor u(n).\nAnswer: -3*n*(n + 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*r = -1, -r - 32 = c + 4*r. Let u be (-13)\/c - 6\/(-42). Suppose 5*m - 11 = 4. Sort u, m, 0 in descending order.\nAnswer: m, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -455*a**2 - a + 3*a - 2*a**3 + 6*a**3 + 1149*a**2 - 2*a**3 to l*a + f + z*a**2 + h*a**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/10)*k)\/(k**(-1\/62)*k))\/(k*k\/((k**(3\/4)\/k)\/k)*k\/k**26) assuming k is positive.\nAnswer: k**(13309\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 350 in -3, -143, 26\/3?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -397715, -397714, -397713?\n\"Answer: i - 397716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let a be (12 + (12 - 24))\/(-1 - -2). Solve a = y*v - 7 - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*p + 222, 0 = -2*n + 2*p + 25 + 61. Let d be n\/14 + (-9)\/63. Factor 1\/3*b**2 + 0*b + 0 - 1\/3*b**d.\nAnswer: -b**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 3*w**2 + 3*w**2)*(-1 + 4 - 1 + (-1 + 1 + 1)*(-1 + 1 + 1) - 5 + 4 - 1 + (5 + 0 - 2)*(0 + 0 + 1)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3 - 5*o**2 - 5*o**2 - 8*o - o**2 - o**3 - 5*o. Let y be m(-9). List the prime factors of (y\/(-28))\/(6\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + (4 - (1 - -8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2. Let f(c) = -1. Let g(s) = s - 7. Let l(m) = 4*f(m) - g(m). Give 3*k(p) + 2*l(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1772561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5999 + 13?\nAnswer: 59b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 109*f**2 + 2301*f - 91. Give d(-21).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/7 and 423\/(-12) - 3\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(-18) + 1\/(-6). Suppose g + i - 55 + 5 = 0, q*g - 5*i = 72. Suppose g = -9*j + 7*j. Sort 1, j, 2 in ascending order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -64*p**3 - 8*p**2 + 8*p + 1. Let h(s) = 55*s**3 + 7*s**2 - 7*s - 1. Let c(g) = 6*b(g) + 7*h(g). Let d(y) = -5*y**2 + 5*y + 5. What is 5*c(w) + d(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6 and 77\/123015.\nAnswer: 246030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8567d8 (base 14) to base 2.\nAnswer: 10001001101101110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(5\/2))\/x)*x)**(1\/73) assuming x is positive.\nAnswer: x**(-1\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - ((4*(2 + sqrt(2057)))**2 + sqrt(2057))) + 1 + (0 + sqrt(2057))**2 + (-2*(2 + sqrt(2057)) + (sqrt(2057) - -1*sqrt(2057)*2))**2.\nAnswer: -28845 - 792*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*t - 1 - 186*t + 35*t - 4 to the form p + k*t and give k.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11623 (base 9) in base 3?\nAnswer: -101200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 - -10 - 0)*-1*1. Suppose 13 = i - 5*d, -2*d + 3*d - 13 = -5*i. Let t = -2 + i. Calculate the greatest common factor of c and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 710 = 3*u - 674, -2*u - 11 = s for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 - 3*b + 3. Suppose 0 = -3*g + 8*g - 20. List the prime factors of k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let d(z) be the third derivative of z**5\/20 - z**2. Give d(h(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -132, 1, 7 in increasing order.\nAnswer: -132, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 40. Let u be (-6)\/(-8) + 1066\/t. Suppose -u = -2*h + 5*q, h + 2*q + 65 = 2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + u**2 - 1)*(-4 - 2 + 4) + 9*u + 11*u - 55*u**2 + 57*u**2 + (-4*u + 5*u - 2*u)*(2*u - 3*u + 0*u) + 15*u**2 - 10*u**2 + 18*u**2.\nAnswer: 24*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**6\/360 - i**5\/8 + 31*i**3\/3 + 30. Let r(q) be the third derivative of v(q). Find the second derivative of r(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z + 2, -6 = -4*f - 2*z. Suppose -26 + f = -4*d. What are the prime factors of (-9)\/d*(-4)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/((-18)\/6) + (208 - -13). Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13411706.\nAnswer: 2, 7, 11, 73, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t**3 - 5*t**2 + 0 - 79\/24*t**4 + 2*t. Let f(u) = -u. What is k(f(i))?\nAnswer: 79*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*g*k**6 + 6*g*k**3 - 3*g*k**2 + 2*g*k + k wrt k.\nAnswer: -1080*g*k**3 + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101121 + -2?\nAnswer: 101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*f*t**4 + 10112*f*t**3*y**3 + 213*f*t**2*y**3 + 3*f*t**2 - 290*f*y**2 wrt t.\nAnswer: 4320*f*t + 60672*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 6*f - 11. Suppose 0 = 275*u - 267*u - 88. Let w(l) = l**2 + 2*l - 4. What is u*w(y) - 4*m(y)?\nAnswer: -5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 4)*(0*q - q - q) + 6*q - q - 2*q)*(6*q**2 + q**2 - 3*q**2).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**6\/12 - 2*q**5\/5 - q**4\/2 + q**3\/3 + 5*q**2\/4 + q + 7. Factor h(c).\nAnswer: -(c - 1)*(c + 1)**3*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -0*z - 756. Let x be (z\/(-7))\/(25\/350). Let n = x + 408. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-9))\/(4\/3). Let a(r) be the second derivative of 0*r**2 + 0 - 2*r - v*r**3. Let x(n) = 2*n**2. Give a(x(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 2335*l**3\/3 - 3*l**2\/2 + 3*l - 72. Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-4)*g)*g)\/g*g\/(g*g**(-1\/5)))**13)**48 assuming g is positive.\nAnswer: g**(13104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408390012 by -1106748.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = 11. Let q be ((-1)\/d - -3) + -39. Let t = 69 + q. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -3, 0, -2\/17, -5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1175379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 116 = 45*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:06 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuluouoaqlqla. What is prob of sequence oa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 42, 43, 44, 45, 46?\n\"Answer: k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 + 7*o**4 + 2*o**3 + 6 - 2*o**4 - 8 - 2*o**2 as n + v*o**4 + s*o**3 + w*o + p*o**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*w - 74*w = -5, -5*x + 2*w = -73. Solve 16*q = x*q - 6 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*m + 218289 - 88651. Calculate the greatest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {a: 5, e: 1, k: 3, l: 6, x: 2, m: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h - 1. Let d(q) = 2*q**2 + q + 2. Let l = -47 + 67. Suppose -i = -5*i - l. Let y(t) = i*w(t) - 3*d(t). Factor y(b).\nAnswer: -(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3661261953 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - 54. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o**2 - 17*o**3 - 2*o + 42*o**3 + 40*o**2 - 23*o**3 to g*o + z*o**3 + w*o**2 + h and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**2 + 885*m + 659. Let f be n(-73). Factor -2\/7*k**3 - 24\/7*k**f - 72\/7*k + 0.\nAnswer: -2*k*(k + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, -1007, 48, 6 in ascending order.\nAnswer: -1007, 2, 6, 20, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*w = -74*w, 0 = -3*q - 2*w + 15594. Calculate the highest common factor of q and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 670, 683, 712, 763, 842?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26588*m**4 - 4232 wrt m.\nAnswer: -106352*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h + 5*h - 4*h + 0*h as f + c*h and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*a = -3385, -4*b + 0*a - 2*a = -2708. What is the remainder when b is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -393.3 - -393. What is the closest to -2\/5 in 3\/7, 4, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2475899356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4978 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 39*r**2 - 2 + 110*r**2.\nAnswer: 149*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -6*sqrt(1029)\/sqrt(7)*2)*1)**2.\nAnswer: -840*sqrt(3) + 21193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12914642 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: In base 5, what is 10 + 12340?\nAnswer: 12400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47371.80707 rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -112, -20, 170, 494, 988, 1688, 2630?\nAnswer: 3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-3)\/c)\/c)**10*(c\/(c**7*c))\/(c\/c**5))**(-29))**(-13) assuming c is positive.\nAnswer: c**(-19981)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 786 + -837.7. Let b = -55 - l. Let s = -1.7 + b. Sort 2, s, -1\/9.\nAnswer: s, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = v, -2*v + 4*z - 1 + 7 = 0. Solve v = -m - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Let y = r - 2. What is the third biggest value in 0.2, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25b79d (base 16) to base 8\nAnswer: -11333635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 <= 0.036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4622 to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3 - 3 + (-z + 2*z - 4*z)*(-1 + 1 - 1))*(4*z**3 - 9*z**3 - z**3).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45085*p**4 - 8944*p wrt p.\nAnswer: -541020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 1 + 2. Let r = 19 - s. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/2 - 1105421*a\/2 + 1105419 = 0.\nAnswer: 2, 1105419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-4)\/4 - -2). Let o(r) = 6*r**2 + 2*r + 3. Let y be o(m). What is the greatest common divisor of y and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-3\/8))*n**(-5))\/((n**15\/n)\/n**(8\/3)) assuming n is positive.\nAnswer: n**(-383\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52\/185 + 3\/37. Suppose 113*k + 56 = 99*k. Put -0.5, q, k in increasing order.\nAnswer: k, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10703728 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 1, l: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - -8. Suppose r*q + 286 = 52*q. What are the prime factors of q?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:24 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 387, 391, 407, 441, 499, 587, 711, 877?\n\"Answer: s**3 - 3*s + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {h: 4, u: 9, j: 2, z: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q - 1. Let i(t) = -49*t - 21867. Give i(z(n)).\nAnswer: 490*n - 21818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1786171 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 30872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2987, -5949, -8911, -11873, -14835, -17797?\nAnswer: -20759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -796, -1290, -1838, -2440?\nAnswer: -3096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -19, -9\/56.\nAnswer: -19, -9\/56, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35b (base 15) to base 2\nAnswer: 1011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2040)\/(-782))\/((-36)\/(-6))\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2. Let p = -246 + 526. Let b(n) = n**2 + p - 280. Determine c(b(j)).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + -4 + 4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*f - 5*x + 2, 0 = 3*f + 3*x - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 894 + -891. Let v = -15 - 0. Let l = v - -48. What is the highest common factor of p and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 51958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00120767 to 5 dps.\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3)*2)\/((-32886)\/406).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4779 - 859.8421. What is w rounded to the nearest ten?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 6*x + 3. Let b be p(8). Let u(j) = -23*j - 213. Let n be u(b). Is n != 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 873750\/(-1998750) + ((-6)\/(-6) - (-14)\/(-26))\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1760 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**3\/3 + 5*p**2\/2 + 5*p - 2. Let u be x(5). Solve 0 = -r + 4*k - 16 - u, -5*k + 28 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 2*p + 178. Give g(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnin when four letters picked without replacement from vnninniinnivnnnv.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8122240233 minus -66.38?\nAnswer: -8122240166.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -4)*13\/(-364)*2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p + 4*j - 54, 3*p = -j + 140. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3880, -8332, -12784?\nAnswer: -17236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.02 (b) 21 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a factor of 25755676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1669*o - 1032*o - 970*o + 3791*o.\nAnswer: 120*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 9. Let c(k) = k + 1. Let j(m) = -c(m) + z(m). Let y be j(2). Find u, given that 10*u**3 - 2*u**4 - u**4 + 12*u - 3 + 2*u**3 - 18*u**y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6035 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -0.36242.\nAnswer: -0.26242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468515459 is divided by 1022?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 3*x + 4. Let g = -12 + 6. Let z be (-2)\/6 - 32\/g. Suppose -r + 4 = 3*k, -3*r + z*k + 9 = -3. Determine d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/357*(-17)\/(-12)*(-3490)\/(-5933).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240 + 245. Solve 27 = x*k - 5*j + 2, -5*k - 4*j = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125743130 to the nearest one million.\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, y: 5, r: 1}. What is prob of picking 3 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 5*t**3 - 2*t**3 + (4*t - 3*t - 2*t)*(-3*t + 3*t + 2*t**2).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19016474.\nAnswer: 2, 1447, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*y**2 - 1327 - 781 - 5*y**3 + 65*y**3 + 641 + 0*y**2 wrt y?\nAnswer: 180*y**2 + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w - 274. Let x be a(21). Suppose -82 - 138 = -x*s. Solve 5*b + k = 2, 4*k + s = 4*b - 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-70))\/(-7 - (-132)\/20)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.74653 - 3.74653. Let q(y) = -y + 4. Let p be q(5). Let f = -2\/3 - -8\/21. What is the second smallest value in i, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -0.3, 181747, -1.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-2) + 25 + -33)\/(1\/48).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 2*n**2 - n. Suppose 0*u = -5*u - 5. Let m be z(u). Let x = m + 11. Solve -5*p - 10 = x*k, 2*p = k - 4 - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5574, -11175, -16776?\nAnswer: -22377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 7:49 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 + 3. Let d(u) = -7*u**2 + 4. Let k = 7 - 2. Suppose 10 = -k*h + 7*h. Give h*o(n) - 4*d(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3552 + 0.3552. Let v(i) = -i**3 + i - 17. Let k be v(0). Let u = -52\/3 - k. What is the closest to 1 in u, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2861104285?\nAnswer: 5, 13, 409, 107621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 1.3. Let u = -4.607 + 5.6. Let w = u + t. What is w rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -682594 divided by -781?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*4.9083425.\nAnswer: -8.8350165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + t = -17*u + 64, 0 = 5*t + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128846958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 2*i + 4. Let u be y(-4). Let t = 20 + u. Calculate the highest common divisor of 176 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 4*k. Suppose -k*h - 3 = 3*x - 0, x - 1 = -h. Put x, -0.11, 0.4, 1\/4 in decreasing order.\nAnswer: x, 0.4, 1\/4, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 49. Suppose -z = 2*j - g, 0 = -4*z + 6*z. Calculate the common denominator of (-4)\/(-9) - (1 + j)*-1 and -45\/61.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76.5 + 80.5. Which is the nearest to -1? (a) 2 (b) -0.2 (c) t (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 - 368*a**4 - 1580*a**3 + 4248*a**2 - 2304*a = 0. Calculate a.\nAnswer: -6, 0, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 122*a. Let f(d) be the second derivative of d**4\/4 - 5*d + 197. Give f(y(o)).\nAnswer: 44652*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = 5*i, -u - 1 = 4*i + 13. Suppose -y - u*y = -15. Suppose 0*q - q = -y. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/5*2*(-42)\/(-12)*5. Let b(k) = 29*k**2 - k. Let p be b(1). What is the greatest common divisor of p and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y**3 + 6*y**2 + 6. Let p(s) = s**3 - s**2 - 1. Give 6*p(v) + r(v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(156))\/(sqrt(84)\/sqrt(28)))**2 - (sqrt(468) + -1 - sqrt(117)\/sqrt(144)).\nAnswer: -23*sqrt(13)\/4 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a factor of 35519587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -465, -770, -1153, -1638?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**2 + 13*g - 15. Let a(p) = 29*p - 5 - 2 - 49*p + 26*p + 5*p**2. Let n(x) = -13*a(x) + 6*w(x). What is n(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06587 - -0.0438. Round s to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.011984l?\nAnswer: 2011.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*b - 3*d, -2*b - 2*d - 38 = 2*b. Let a = 5 + b. Let g be -3 + ((-14)\/(-7))\/(a\/(-11)). Solve 0 = -c - c + g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 19 = 5*i + u, -2*i + 3*u - 6 = 0. Let p be (i + (-28)\/16)*-4. Let g(x) = 2*x + 3. What is g(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (6 + -12 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/60 - 5*z**4\/24 + z**3\/2 + 337*z**2. What is y(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9055205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6666043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let p(i) = -2*i - 9. Let m(z) = p(z) + 4*t(z). Calculate the remainder when 43 is divided by m(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17884420)\/(-12)*((-144)\/15)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*y**2 - 4\/15*y + 0 - 2\/15*y**3.\nAnswer: -2*y*(y + 1)*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+531968755012\nAnswer: 531968755012.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-20)*(1 - 1). Suppose 4*c - 314 = -2*u, -3*u + 0*u + 15 = q. Calculate the lowest common multiple of c and 6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.62 + -1.02. What is the closest to 0 in -6, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3659238121 to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1315 - 1070. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 19*m**2 + 17*m - 65. Let y be z(19). Let d(j) = -j**2 + 4*j - 1. Let h be d(2). Suppose -1029 = -h*s - y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/12*57 + (-1)\/(-4). Suppose 568 = q*o - 127. What is the remainder when o is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -919204?\nAnswer: -919201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (3 + -1*sqrt(500)*3 - (-6*(sqrt(500) + sqrt(500)*1 + sqrt(500)) - (sqrt(500)*-2 + -4))))*1)**2.\nAnswer: -1300*sqrt(5) + 84525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -13. Let g(b) = b**2 - 6*b + 6. Calculate the remainder when 25 is divided by g(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c**2 + 260*c - 954. Give y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 27. Suppose 0 = q + 5*o + 27, q + 23 = -0*q - o. Let k = q + 18. Sort f, k, -1 in ascending order.\nAnswer: k, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.3 - -21.44. Let y = 0.06 + n. Let c = 0.2 - y. Sort -3\/5, c, 0.2 in decreasing order.\nAnswer: 0.2, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6049 + -2301. List the prime factors of s.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11) + -1*sqrt(11) + -2)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 2*c)*(5*c + 2 - 3*c + 13*c).\nAnswer: -30*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, 3.5 in decreasing order.\nAnswer: 3.5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5199987965 and 1.\nAnswer: 5199987966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 45, -1, -10 in ascending order.\nAnswer: -53, -10, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 9 = 0, -l + 22*q - 18*q = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-175)\/(-100)*(-8)\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*a - 684, 5*x - a - 1730 = 4*a. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:29 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24174469 - 764469. What is x rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 11*l**2 + 11*l + 9. Give d(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227477 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*w**2 - 40*d*w - 44*d - 52021097*w**2 + 2*w - 156 wrt w.\nAnswer: -2*d - 104042194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -55445, -105905, -156365, -206825?\n\"Answer: -50460*g - 4985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**4\/4 - u**3 + u**2 - 2*u + 8. Let y = -5 - -9. List the prime factors of k(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211026 - 135458. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 2*j - 24 = -6*u - 6*u + u - j, 0 = -225*u + 4*j - 4255 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, m: 4}. Give prob of sequence fmfm.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -22*h - 14. Let j(s) = 4*s + 27. Let o(f) = 1. Let m(n) = h*j(n) - 5*o(n). Let d be m(-9). Solve d*x - 6 = 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 2026017?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01249, 1\/7, -3\/4?\nAnswer: -0.01249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-156)*(-3)\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 83. Let 37*k - 19*k - 20*k - k**y + 3 = 0. What is k?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1514044431 + -10?\nAnswer: 1514044421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24388 minus -1638.610539?\nAnswer: -22749.389461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/(6\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (0 + -1 + -2). Suppose m*y = 4*y. Suppose 0 = -y*f - 2*f. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 3*h - 40*h**3 + 67*h**3.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161533 = -25*j - 33308. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2189, 5796, 10815, 17246, 25089?\n\"Answer: 706*z**2 + 1489*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (5 - 19 - -27)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 483*c**5 + 17507*c**3 - 35916904*c**2?\nAnswer: 28980*c**2 + 105042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 12587\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-7)\/((-7)\/6). Let b(z) = -4*z + 120. Let q(x) = -5*x + 121. Let r(t) = 6*b(t) - 5*q(t). Is r(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 484\/21 + 8\/28 and (5\/((-5)\/(-4)))\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 12 = -3*u - 0*s, -s = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 12 = -5*k. Let w = 25 - k. Let x(o) = o**3 - 6*o**2 + 5*o + 4. Let s(m) = -3*m**3 + 17*m**2 - 14*m - 11. Calculate w*x(p) + 4*s(p).\nAnswer: -p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2686, 2688, 2690?\n\"Answer: 2*v + 2684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*q - 121, 2*q = -t + 3*t - 58. Let m = 30 + q. Suppose m*g + 5*s - 205 = 0, 0 = 2*g - 0*s + 2*s - 100. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**6 + 2044*j**3 - 6020*j**2?\nAnswer: -240*j**3 + 12264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2 + 26*s + 69 = 0?\nAnswer: -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15210)\/(-24336))\/(5\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 3*z**2 - 371*z + 194 - 6*z**2 + 183*z - 196 to the form p*z**2 + w*z + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:37 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1100))*-6)**2 + sqrt(1100) + (-4*(1 + sqrt(1100)))**2.\nAnswer: 1050*sqrt(11) + 57252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 8. Suppose -13 = -3*u - 0*r - 4*r, 4*r = -4*u + 20. Let b be w(u). Let t(c) = -2*c. Calculate t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70388.18081 + -0.6204.\nAnswer: -70388.80121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36475 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 52*t = -14. Sort t, 0, 4, 2 in increasing order.\nAnswer: t, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2 + h - 13. Let k be x(3). Let f(n) = 25*n**3 + 8*n**2 - 10*n + 21. Is f(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 times 44.8\nAnswer: 4928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahahhh. What is prob of sequence haaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 3. Let k(b) = 1. Suppose 0 = 4*u + 5*o - 18, -u + 0*o = -3*o - 13. Let d(z) = z - 8. Let x be d(u). What is x*w(f) - 2*k(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + (sqrt(18) - (-1 + sqrt(18)))*3)**2 + 0 + sqrt(2)*2 + ((3*sqrt(12))\/sqrt(6) - sqrt(2))).\nAnswer: -27 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + 1\/1. Is -7 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + -1 + -2*sqrt(320)*-1 + 2.\nAnswer: 5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 17*x + 4. Let v be z(-6). Suppose 0 = -4*i - 2*f + 2, 5*i - 5*f - v = 2*i. What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -0.0538?\nAnswer: -0.4304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 312*c**2 + 924*c + 939. Give z(309).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 203*r - 193*r. What is the remainder when 5218 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.92 + -0.081172599328.\nAnswer: 1.838827400672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(32*n + 6*n**2 - 32*n) to f + v*n**2 + b*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*x - 174*x - 40*x - 39*x + 313*x.\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211201 (base 3) to base 10\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (-12 + 75 + -48)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*n + 11 = 0, 7*n = 5*o + 6*n - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34990 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-14 - -8) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - (-60)\/(-16). Which is the smallest value? (a) 1\/3 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(2*l**2 - 2*l**2 + l**5 + (2 + 1 - 1)*(-l**5 + 0*l**4 + 0*l**4) - 257 - 106*l**5 + 257).\nAnswer: -107*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 3. Let w = 2 - -6. Let g be r(w). Suppose -p - g*z + z = -21, p - 3 = 5*z. Solve -5*i = -p - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 119 = -1835. Let d = -572 - y. Solve -3*i - 4*p - 27 = d, 2*p + 0*p = 4*i + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*m + 26 = 0, 16*m = -5*a + 13*m - 33. Let w be -10*(-8)\/40 - (a + -1). Solve -41 + 5 = w*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 37910, 3, -4, 18?\nAnswer: 37910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120817\/24744 + -78\/1031. Find the common denominator of n and 47\/153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-5)*(-20)\/15. Is (4\/(-1))\/(7\/((-62202)\/y)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = 3*a - 12, -20 = -5*a - 3*h. Which is greater: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 11 - 5. Let u(g) be the first derivative of 0*g**2 + 1 + 1\/3*g**3 + c*g. What is the derivative of u(z) wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = -14*z - 16*z - 90 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/1147394 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 28406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/15455 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 27, 62, 133, 252, 431, 682?\n\"Answer: 2*m**3 - 3*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*l - 191*l - 3*i = -198, 15*i = -30 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2469948 is divided by 411642.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 9) in base 12?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3715 - -48301\/13. Determine k, given that 8\/13*k - d - 2\/13*k**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5016 by -627.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*-56.\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -9823.\nAnswer: 12769.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 11*y**8\/28 + 25*y**4\/12 + 15*y + 10. Let d(s) be the first derivative of v(s). What is the third derivative of d(f) wrt f?\nAnswer: 2640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, k: 3}. Give prob of picking 2 k and 1 l.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q. Let o(h) = h**2 + 11*h - 2*h**2 - 6*h**2 - 3*h**2. Let f(d) = d**2 + 9*d + 10. Let u be f(-8). Give u*o(a) - 22*t(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + f - 1. Let v(o) = 7*o**4 - 2*o**3 + 22*o - 2. Let p(q) = 2*i(q) - v(q). What is the second derivative of p(l) wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4542587 and 19057.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14574746 rounded to the nearest 10000?\nAnswer: -14570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 11*z**2 - 9*z. Determine x(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/654 and -38\/3161.\nAnswer: 18966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 3*j. Suppose -5*r - 3*a = -25, 2*a + 1 = 2*r + 7. Suppose -2*b = -0 - r. Sort 0, j, b in increasing order.\nAnswer: j, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/((-45584)\/679) + (-15)\/40.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2116*m**2 - 74*m - 1620504 wrt m?\nAnswer: 4232*m - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 82305060 divided by 13717510\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7652641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18666 and 207162?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575 and 460.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -78\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9dfe5 (base 16) to base 15\nAnswer: cbb2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r - 317 - 310 = 13 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 8*q - 2*q)*(-4*q + 0*q + 7*q)*(12*q + 38*q + 3*q).\nAnswer: 1113*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 39 times -0.2\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/564 and 113\/192042?\nAnswer: 384084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42774, -42761, -42746, -42729, -42710?\n\"Answer: y**2 + 10*y - 42785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21931 and 11768.\nAnswer: -10163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/78)\/((-8)\/24). What is the closest to 0 in d, -2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 minutes before 4:17 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c - 8*c - 14*c + 5 + 3 - 2*c to the form z*c + h and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/120*-10)\/(8\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102573780798.7308 - -0.4?\nAnswer: -102573780798.3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.028 - 0.068. Which is greater: v or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.54 - -2.54. Let l = -19 + 131\/7. Which is the smallest value? (a) i (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/15 (b) 9 (c) 1006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*y + 5*y + 15, 0 = -m - 5. Sort 3, -7, y in descending order.\nAnswer: 3, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 2. Let q be g(-2). Suppose -a + 3*a + 3*r = q, -4*a - 3*r = 4. Let o = 10 + -6. Sort o, a, 3 in decreasing order.\nAnswer: o, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(-125*l + 24*l + 1 + 0) - 1 + 1 + 2*l.\nAnswer: 305*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1612.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 9*v + 16. Let a be c(3). Suppose 2*n = -2*n + a. Suppose -5*b = -n*b - 25. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(((-22)\/55)\/((-1)\/(-10))). Let d(u) be the second derivative of p*u**2 + 0 - 4*u - 1\/6*u**3. Let h(v) = -6*v + 8. What is 8*d(w) - h(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/111? (a) 0.2 (b) -1\/5 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -46310 (base 8) to base 12\nAnswer: -b460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -303, -902, -1991, -3714, -6215, -9638?\nAnswer: -14127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-45)\/(-6))*-39*70\/(-13468)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 378626743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126481101?\nAnswer: 3, 2381, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 17 - 7 = 4*a, -2*x - 9 = a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 270811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*l + 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 178 divided by 3\nAnswer: 178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14276 - -14275.7. Which is the second biggest value? (a) z (b) -1\/4 (c) 6 (d) 8\/7 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4372313*v**3 - 1961211*v**2 wrt v?\nAnswer: -26233878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 91*s**2 + 45*s - 6. What is t(-45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2435.911 weeks?\nAnswer: 1473238972800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and -3765.\nAnswer: -3765.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + d**3 + 0*d**3 + (36 - 36 + 38*d)*(-8*d**2 + 2*d**2 + 62*d**2) as m*d + z + i*d**2 + f*d**3 and give f.\nAnswer: 2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 46 + 18 = 0. Is (2 - -335)\/(d\/24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985812480 a multiple of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 2*o - h, 0 = -o - 4*h - 16. Suppose -5*l + 2*l - 2*k - 1640 = o, -5*l = -2*k + 2760. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0065180385 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 284*x**5 - 3*x**2 + 32*x. Let t(f) = 2*f**2 + 2*f. Let o(j) = s(j) + 2*t(j). What is the third derivative of o(w) wrt w?\nAnswer: 17040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -954793956 and -243.\nAnswer: -954794199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -12?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 + 20*d**3 + 32*d**3 - 20*d**3 - 13*d**2 to the form q*d**2 + g*d + a*d**3 + p and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/4)\/(d*d**(-3\/4)) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.122 - -1.1218467. What is j rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2640 divided by 110.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (5 - 9) - -14) + (0 - 1) + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2499 + 2540. Calculate the remainder when 1064 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -30 + (4 - 21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5*u - 2. Let r be v(5). Sort r, -2\/9, 0.2, -0.2 in increasing order.\nAnswer: r, -2\/9, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2 - 2*q + 5. Let h(s) = -14*s**2 - 2*s - 18. Let z(k) = -14*k**2 - 3*k - 20. Let u(i) = 6*h(i) - 5*z(i). What is 8*a(o) + 5*u(o)?\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*z - 11*z**4 - 54*z)*(z - 3*z - 2*z - 2).\nAnswer: 44*z**5 + 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19732, 19867, 20100, 20431, 20860, 21387, 22012?\nAnswer: 22735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 300*w**2 - 494*w**2 + 4 - 4 to t*w**2 + k + i*w and give t.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3 = c. Let v(i) = -9*i**2 + 3*i - 9. Let u(h) = -5*h**2 + 2*h - 5. Let s be 3\/(-18) + 76*3\/72. Let a(x) = s*v(x) - 5*u(x). Determine a(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*t + 2*t**2 + 40 + 42*t - 85*t to w + d*t**2 + x*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625615 is divided by 1378.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22497 is divided by 71.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 655350 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130477135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*t - 4 - 34 = 0, -85 = -5*k - t. Suppose c + k = 3*c. Is (24\/(-32))\/((-2)\/c) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8341*a*l**3*y**2 - a*l**2*y + 26648722*a*l*y + a*y**2 + 17418*l**3*y**2 - 4*l**2*y - 2*l wrt l.\nAnswer: -50046*a*y**2 + 104508*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let d(z) = 3072*z - 701. What is d(j(b))?\nAnswer: -3072*b - 701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 1 w when three letters picked without replacement from {l: 5, t: 10, w: 1, h: 1, g: 1, x: 2}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*j**5 + 149*j**4 + j**3 + 369*j**2?\nAnswer: 1680*j**2 + 3576*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 3*h + 4*b, 2*b - 70 - 17 = -2*h + 3*b for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0542384 to 3 dps.\nAnswer: 2.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 58 = -2*d, -5*d + 3*h = 8*h - 140. Suppose -63 = -5*s - 2*s. What is the remainder when d is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2. Let t(o) = 2*o**2 + 1. Let p(w) = w. Let l(q) = -10*q**2 + 4*q - 9. Let x(c) = l(c) - 4*p(c). Let d(z) = 18*t(z) + 2*x(z). Calculate d(n(k)).\nAnswer: 576*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877271047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u. Let z(k) be the third derivative of 3*k**2 + 5\/24*k**4 + 0*k**3 - 2 + 0*k. What is z(f(d))?\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-35) - 2)*1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22330468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 3*l**3 - 103*l + 12 + 105*l + 948*l.\nAnswer: -l**3 + 950*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021192045611 to 6 dps.\nAnswer: 0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buivwwtuv. What is prob of sequence uvt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*v + 143, -8*v + 3*v = -3*i + 146. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1*sqrt(720) + 4 + (0 + sqrt(720) + sqrt(720) - sqrt(720)) + 5 - 1*((sqrt(45) - (0 + sqrt(45))) + -1 + sqrt(45)))**2.\nAnswer: 660*sqrt(5) + 5545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -653\/5 - -131. What is the fourth biggest value in x, 0, 0.1, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21122 is divided by 4180.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 900829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -30*c**2 + 8*c - 15. Let h be a(2). What is the hundreds digit of (-103278)\/h - (-6)\/51?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14426 - -115405\/8. Let m = 0.1 - 0.5. What is the closest to 10 in 3\/8, m, l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -57. What is the second derivative of 23*a**5 - 80*a**z + 41*a**3 + 39*a**3 - 34*a wrt a?\nAnswer: 460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (5 - 2))*5. Suppose -a*b + 15 = r - 4, 0 = 5*b + 3*r - 27. Suppose -b*o = o. Solve 3*u - 5*m = 37, o = -3*u - 2*m + 1 + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 9. Let k be m(8). Are k and -7\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39100798.05 rounded to the nearest one thousand?\nAnswer: -39101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 + 641. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 32. Let i be 6\/((-3 - 1)\/(-3 - 1)). What are the prime factors of l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21818511 and 661167.\nAnswer: 21818511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -148b0?\nAnswer: -148ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*z - 75, 0 = -3*z + z - b - 37. Let o be 17\/2*-2 - 4. Let k = z - o. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5703*b. Let a(f) = 9*f**2 - 49*f. Let q(r) = -4*r**2 + 21*r. Let x(c) = 3*a(c) + 7*q(c). Determine x(u(m)).\nAnswer: -32524209*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 189, 284?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*t**4 - 2*t**3 - 281*t**2.\nAnswer: -600*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2069*i**5 + 2*i**2 + 68473*i wrt i?\nAnswer: 41380*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 2*i - 31 = 0, 5*c + 255 - 275 = -i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 13*x**6\/60 - x**3\/6 + 2*x**2. List the prime factors of g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v**2 + v + 1. Let r(u) be the third derivative of -u**6\/40 - u**5\/30 - u**4\/24 + u**3\/3 + 289*u**2 + 1. Give -r(y) + 2*z(y).\nAnswer: y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713001 and 12737.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -0*o - 4*o + 7*o - 2*m - 38, -5*m + 20 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -31. Let u = k - 25. Solve 2*x = -3*x + u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 72\/27*(-24)\/(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let f = 745 - 670.1. Let c = f - 75. What is the nearest to 1 in -0.3, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a - 10. What is w(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p - 54. Let v(c) = 43*c + 272. Give -11*s(k) - 2*v(k).\nAnswer: 2*k + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/144 and 127\/124992.\nAnswer: 124992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90593, -724757, -2446059, -5798069, -11324357, -19568493, -31074047?\nAnswer: -46384589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6 plus -1368631.5319?\nAnswer: -1368616.9319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 - 31456521*y**3 + 9645234*y**2 - 3 wrt y.\nAnswer: 120*y**2 - 188739126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 - 5*h - 1. Suppose -t + 15 = 3*i + 4, -4*i = 4*t - 20. Suppose 40 = i*y + 5*y. What is q(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2117620*w**3 - 802106*w wrt w?\nAnswer: 12705720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3 + (-5)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -130307\/3422?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 9:38 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 5. Let j(l) = -l + 1. Let r(y) = 2*j(y) - v(y). Let w(i) = -i + 8. Let m(q) = 4*r(q) - 3*w(q). What is the units digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47548 + -24171. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 110. Let q be w(23). Suppose 3*y - o = 0, q*o - 2*o = -4*y. Solve y = 17*s - 12*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-2240)\/(-20125))\/64*10).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y**2 - 2*y + 2. Suppose 0*p + 2*p = 4. Let c be x(p). Suppose -3*t + t = -c. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (-6 + -2 + 12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h - 10. Let a(y) = -29 - y + 16 + y**2 + 18 + 7*y. Suppose 6 = 2*v + 16. Let q be a(v). Determine c(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.987 rounded to 0 decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-30))\/((-6)\/(-15)). Let x = 26.56 + -0.56. Let g = 18 - x. Is g smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -7 + (-5 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/470136 and 23\/3173418?\nAnswer: 12693672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 5*k**2 - 6*k - 6. Let x(b) = -b**3 - b**2 - b + 1. Let f(m) = -3*x(m) - z(m). Let j be f(-7). Let i = j - -18. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5600 + 5600. Which is the biggest value? (a) 0.1 (b) l (c) -1\/4 (d) 2 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.6.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00401 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 12. Suppose 4*n = y*n + 3. What is the remainder when 10 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3\/3 - 5*k**2\/2 + 11*k - 1. Let n be o(-6). Let s = 10 + n. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1855\/106656 or 1?\nAnswer: -1855\/106656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**8\/504 - 22*l**7\/315 - 46*l**6\/45 - 8*l**5 - 36*l**4 - 96*l**3 - 13*l**2 - 1. Solve h(i) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (544\/36)\/((-2)\/(-3)) and 21\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-60)\/72*-4. Solve 18*q - n = 28*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3021772172.\nAnswer: 2, 17021, 44383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 161, 245, 329?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 11:15 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1213 + -845. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5\/3 + 8*o**4 + 20*o**3 - 608*o**2\/3 + 320*o = 0.\nAnswer: -5, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-76) + (-130)\/(-152))\/((-23)\/(-460))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 30*i**2 - 62*i - 169. Let t be z(-28). Put 11, -3, t, 2 in decreasing order.\nAnswer: 11, 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 37*u**3 - 5*u**2 + 19*u - 17. What is the remainder when k(2) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - u - 5. Let x(o) = -o**2 + 79. Let r be x(9). Let n be l(r). Which is the third biggest value? (a) 2.4 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 15, -5*f - 143 + 548 = 5*x. Find the third derivative of -46*c**6 - 11*c**2 + x*c**6 - 71*c**6 wrt c.\nAnswer: -4680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 3, m: 6, r: 2}. What is prob of picking 2 s?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 greater than -5260\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69525037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -220, -380 in decreasing order.\nAnswer: -4, -6, -220, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1001*x - 2111*x + 954*x)*(-5 + 18 - 9) to i + g*x and give g.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 + 4*w - 5. Let k be p(5). Suppose 2*c - 5*c + 48 = 3*n, -n - 5*c = -16. What is the highest common divisor of k and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/113, 1.4, -49, -318.\nAnswer: -318, -49, 2\/113, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1014*r**3*w**3 - r**3*w + 3*r**3 - 265*r**2*w + 5*r*w**3 wrt r?\nAnswer: -6084*w**3 - 6*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3 + 1\/4*j**4 + 3 - 2*j - j**2. Give f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39066\/568 - (-2)\/8. Let g = -346 - -415. Let h = g - k. Which is the biggest value? (a) 1\/4 (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r - 18 = -146*r - 2*o, 2*o - 6 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1083, 2170, 3257, 4344, 5431?\nAnswer: 6518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 > 9477286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48047 divided by 110\nAnswer: 48047\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a - 2*a)*(-2 + 3 + 1) - a - 4*a - 4*a + (-3*a + 0 + 0)*(-4 + 3 + 3).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3 - 179*z**2 + 8272*z - 23232 = 0?\nAnswer: 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22312031 + -10120?\nAnswer: -22322211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6646 to 2 dps.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_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: Expand (-3 + z**3 + 3)*(6*z + 3*z + 4*z) + 1 - 1 - z**4 - 785*z**4 - 765*z**4 + 17197*z**2 - 17197*z**2.\nAnswer: -1538*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25471 + 28.\nAnswer: 25499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -567 - -189. Let w be h*5\/15*-2. What is the highest common factor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1423*f + 1684*f + 187*f - 18*f**2 + 28*f**3 - 123*f**3 - 414*f wrt f?\nAnswer: -570*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 0.04. Let l = -12908 - -12908.24013. Let w = l + o. What is w rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22831 and 1264?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2513415 + 1135?\nAnswer: -2512250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -77*j - 65. Let o(d) = -5946*d. What is n(o(b))?\nAnswer: 457842*b - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 10:06 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1 - (9 - 2)) + 4134 + -4199.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1418459 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1754 = 5*k - 326. Suppose 31*x - 74*x = -129. Suppose 2*w - q = x*w - 98, -4*w + k = -2*q. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71.01826 and -0.42.\nAnswer: 29.8276692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/h*h**(1\/5)*(h\/h**(-1\/12))\/h*(h\/h**1*h*h)\/h assuming h is positive.\nAnswer: h**(-223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*c + 34*c + c**3 - 52*c + c**3 to d*c + v*c**2 + y + x*c**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let y(x) be the first derivative of 8*x**3\/3 - 3. What is g(y(b))?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(5\/((-10)\/4)). Suppose -4*j - 3*o + 6*o + 3 = x, -4*j = -4*o. What is the smallest common multiple of 18 and 56\/j + 8\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 6*c**2 + 7*c + 7. Suppose -7*t - 8 = 27. Give i(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41879999?\nAnswer: 7, 1987, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2093\/66 - -336\/11. Let o = 2143\/6 + -356. Find the common denominator of o and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*696\/(-261).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.742664982 to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:18 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/3))**(-41) assuming d is positive.\nAnswer: d**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from {z: 3, c: 5, v: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -472600 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 5291, 1, 0, 32 in decreasing order.\nAnswer: 5291, 32, 1, 2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 - v + 7. Give c(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose k = -5*o - 2*s + 31, -5*s - 23 = -3*o - 4*s. Solve 3*x = 8 + o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8382)\/(-780) + (-4)\/(-26) and 83\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 + 8 + 1 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -17348*m - 34632. Give i(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*p**4 - p**2 - 45*p wrt p.\nAnswer: 144*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(915\/(-11346))\/((-5)\/1*1).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-476)\/(-672) - 3\/8. Sort a, 1\/4, 0.1.\nAnswer: 0.1, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/35*(477 + (2 - -1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 78 - 42. Let x be (-8)\/f - (-37)\/3. Suppose -x = 5*w - 2. Is 1\/2 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 206255*g. Let s(t) = -9*t + 6. Determine s(y(o)).\nAnswer: -1856295*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7617*n**2 - 15222*n**2 + 7608*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 2) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 74.5. Sort 3\/4, -1, h, 3 in decreasing order.\nAnswer: 3, 3\/4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 10*d - 5. Let q be n(-7). Let k be (-2)\/q + (-1)\/(-8). Suppose 2*t + 2*t - 8 = 0. Solve t*p + k*p = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogt when three letters picked without replacement from orggrrtoorty.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/8)*173\/99648*192.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y - 11. Let a be z(-4). Suppose -16 = 5*s - 41. Suppose -3*q - s*h + 28 = 0, 4*q = -4*h + 13 + 11. Sort a, q, 2 in descending order.\nAnswer: a, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*6*(-3)\/(-6). Find the third derivative of 5*v**w + 2*v**2 + 0*v**6 - 6*v**6 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -146, -242, -344, -458, -590?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1 - 3 + q - 3*q - 3*q. Let u be b(-4). Let d = u - 11. Calculate the highest common divisor of 63 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264495 is divided by 88164.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 5*g - 20, -3*m - 5241*g + 16 = -5237*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Let q = i + -6. Suppose -36*b + 49 = -95. Sort 1, q, b in decreasing order.\nAnswer: b, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(64*q - 2717 + 2717) + (-3*q + 4*q - 3*q)*(1 - 1 - 2).\nAnswer: 132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/135 and 103\/24?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 6, q: 5}. What is prob of sequence xx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 16217.\nAnswer: 1\/16217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (21 + -28 - (-7 + 17))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 25 = -0. Is -34\/9 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.443 + 214.443. Let j = 213.998345 - b. Round j to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*-3 + sqrt(187) - -4*(sqrt(187) + sqrt(187)*2))\/(2*sqrt(275)*6).\nAnswer: 19*sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 52. Let j be -3 + -3 + 160\/x. Let r be 6\/8*(-6)\/(-36). Which is the third biggest value? (a) 4 (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-131*m - 3*m**2 + 28*m**3 + 30*m**3 - 55*m**3)*((-2*m + 0*m + 0*m)*(-1 + 0 + 3) + 6*m - 4*m - 3*m) to o*m**3 + k + g*m**2 + y*m + u*m**4 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39\/15 - -2) + 6\/15. Solve -5*k - u = -20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -596 divided by -2\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-437 - 464 + 986)*(-14*t**2 - 16*t**2 + 38*t**2) to the form g*t + b + v*t**2 and give v.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f - 132. Let z(a) = -10*a - 133. Let p(i) = 3*o(i) - 2*z(i). Let n be p(-33). Solve 5*y + n*t + 20 = -0*t, -20 = 4*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxpx when four letters picked without replacement from xxpxxpxxxpxxpxxxxx?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 6. Let o be m(4). Let i = 31 - 28. Suppose 5*h - 3*y - 62 = 0, 0 = h + i*h + o*y - 32. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1037 - -1042. Solve 4*w = x*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*((h\/(h\/(h**(-2\/5)*h)))\/h)\/h*h)\/(h*h**1\/h)**27)\/(h**4\/h**(-2\/7)*(h\/h**(3\/4))\/(((h**(-1\/3)\/h*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(-11873\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 + 253. Solve -6*x + 3*x + 2*f + s = 0, -4*x + 5*f = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*d = 5452828 - 5452789, n - 4*d = -27 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 - 2 = 26*f + 510 - 257 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 9145085981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14460092 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*g**3 - 4392*g**2 + 34209*g + 32562.\nAnswer: 3*(g - 201)*(g - 9)*(7*g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3072 + 3146.17. Let x = 1.83 + j. Let z = x + -75.99953. Round z to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16728 at most as big as -2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69451902 by -3858439.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 5*b + 3. Give g(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3)*(-24)\/(-16). Suppose 3*s - k*z = 108, -4*z - z - 83 = -2*s. Let a = s + -10. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*a + 2*a**3 + 5 - a**3 + 16*a as p*a**3 + d*a + r*a**2 + q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 + ((-18)\/(-45))\/(2\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:24 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.817869 centuries to decades.\nAnswer: 28.17869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.633, -1\/3, 2, 0.3, -47?\nAnswer: -3.633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*w + 49*w - 238*w + 717. Suppose 0 + 0*z**2 + 1\/2*z**w + 1\/4*z**4 + 0*z = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 67165889 + 67165889.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 1:04 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 57. Suppose 3*u + 11 = -5*n, 4*u + 4 + 4 = -5*n. Sort p, u, 2 in ascending order.\nAnswer: 2, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**4 + z**2 - 3*z - 3. Let c(a) = 3*a**4 + 2*a**2 - 5*a - 5. Let h(o) = -3*c(o) + 5*v(o). Find the third derivative of h(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:11 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 13 = 2*s, -21 = -5*s - 6*b + 2*b. Let x be (51\/(-9) + s)*(-30)\/4. Solve 0 = -2*y - 5*k - 0 - x, -3*y + k = 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*x + 3*p - 106, -3*p = -6. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 344*s**2 + 1025*s - 2. Let h be j(-3). Solve -3*c - 4*o + 2 = 13, -h = 4*c + o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -899*z - 16195. Calculate t(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-181\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -1.4 (b) 0.5 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 + -134. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 2.8122883470557.\nAnswer: 2.6122883470557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/2 - 36*g - 510 = 0 for g.\nAnswer: -10, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37301 + 37301 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-15) - 0) + 21\/5. Suppose j*s - 924 = -7*s. Which is smaller: 85 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130196933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 + 5. Let m be l(-5). Let u(w) = -4 + 2 - m*w**2 + 2. Let b(i) = -i**2. Determine u(b(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 5, -177\/289?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58373 - 3?\nAnswer: -58376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - (-7 - 22 - -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36499140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f - 10711 = 0. Let i = f + -5492. Let m = i - 93917\/18. Find the common denominator of m and 71\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 736155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -401 + 221. Let p = k + 38. Let u = p - -160. Calculate the greatest common divisor of u and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 100. Suppose 17 = h*j + k, 9*j - 13*j - 3*k = -7. Solve j*a + 4 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**2 - 16*j + 1. Let a = -203016 - -203024. Determine h(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 13275248 = 13269648 for k.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -1. Let n(b) be the second derivative of 1\/20*b**5 + 0 - 3*b - 1\/2*b**3 + 0*b**l + 0*b**4. What is the second derivative of n(q) wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f = 265173 + 212513 + 82834. Is f a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -293, -653, -1147, -1769, -2513?\nAnswer: -3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3\/184, -0.3, -21?\nAnswer: -3\/184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3817 is divided by 1906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 4. Let a be f(-3). Suppose k + 5*w = 5, -k - 386*w + 5 = -382*w. Solve k*o + 15 = a*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.39 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 3*y**2 - 5*y + 3. Let k(n) = -n**3 + 0 - 209*n - 229*n + 433*n + 2*n**2 + 2. Calculate 2*j(h) - 3*k(h).\nAnswer: -h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000501 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5*o + 2)*(435*o - 10 + 10) + (0*o + o + 2*o)*(0*o + 4*o + o) to b*o + x + p*o**2 and give p.\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 186 and 0.5241.\nAnswer: 97.4826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6896 + 40143. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2483c - -2?\nAnswer: 2483e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.139\nAnswer: 0.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1155\/198)\/(14\/(-28)).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2400 divide 98773044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s**2 + 2*s**3 - 1 - 5*s**3 - 4*s**2 + 5*s**3 in the form d*s**2 + p*s + x + w*s**3 and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-1\/4)*k))\/k*k**(-3\/2))\/(k**6\/(k*k\/(k**(2\/23)\/k)*k*k)))**(-5\/19))**33 assuming k is positive.\nAnswer: k**(50655\/1748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 12.2. Let g = x - -4. Let a = -6 + 6. Is g > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.109 + -0.109. Let h be (-2)\/4*(-8)\/12. Which is the closest to h? (a) t (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {u: 4, v: 1, o: 2, q: 9, k: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 129*n**8\/56 + 7*n**4\/4 + n**3\/6 + 140*n**2. Find the second derivative of b(y) wrt y.\nAnswer: 15480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -778 and -24.535.\nAnswer: -802.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/10)\/4)\/(-204*8\/(-120)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 2*k - 3. Let l be 4\/(-4)*(3 + 0). What are the prime factors of f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348798862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16800 + -16798. Let r = -1 - -1.1. Let w = -1.2 - -0.2. Which is the closest to -1? (a) w (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = 2*k, 0*h - 8 = -3*h - k. Solve 0 = h*z - 3*j + 14, 0 = -5*z - 2*j - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 23 = -4*b. Let c = 14 - 8. Let d = b - c. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17191\/3473 - 114\/23. Which is the second smallest value? (a) -1 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-9) + 2\/(-6). Suppose -2*x + 24 = -m, -a*x - 21 = -m - 78. Suppose x = j - 21. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Let l be (-26)\/(-3)*(f - 1). What is the highest common factor of 65 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 27 = 5*w, 91*s + 2*w + 12 - 657 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/129)\/((-14)\/259). Let c = 4013\/344 - j. Calculate the common denominator of c and (3\/3)\/((-36)\/(-34)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d**2\/d))**(-4\/23) assuming d is positive.\nAnswer: d**(8\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213768871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65247 - -65244. Let p be 30\/16 + -2 + 0. What is the biggest value in -1\/4, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.35 + -1.35. Let o = 1802 - 1800. Sort o, i, -2 in descending order.\nAnswer: i, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from {e: 1, s: 1, v: 5, a: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 33850005.2 to the nearest 10000.\nAnswer: 33850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 3*p + 462 = 0. Calculate the remainder when 3524\/p + 6\/63 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2 + 2*i. Let u be d(1). Suppose u = 2*w + 3. Sort -5, -0.3, w.\nAnswer: -5, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -35. Suppose 3*f = -2*f + 85. What is the remainder when t is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 15, o: 3}. What is prob of picking 1 o and 2 k?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 14 (c) -1 (d) -49 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/5 + 4*t**3 + 18*t**2 - 28*t - 208\/5 = 0. What is t?\nAnswer: -4, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 223, 1004, 1771, 2518, 3239, 3928, 4579?\n\"Answer: -t**3 - t**2 + 791*t - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5 - w + 21 - 14. Let f = 5 - 14. Let j = -4 - f. What is a(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45589c (base 13) to base 8\nAnswer: 6203773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/6 - 8*t**3\/3 + 29*t**2. Is j(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let r(s) = 698434*s. Calculate r(p(z)).\nAnswer: -1396868*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -450986573276 and -4.\nAnswer: -450986573280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7325243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2528 divided by 632\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-90))\/(9\/(-18))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83911 by -21.\nAnswer: 83911\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z - 8 + 10*z - 32*z**2 - 66*z**2 = 0. Calculate z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2184*k - 9. Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16453496.\nAnswer: 2, 2056687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*j - 2*j. Find the first derivative of 4*l**j + 3 + 11 - 10 wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j - 1. Let n(q) = -2*q - 50. Let t be n(0). Let a = t - -47. Determine x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:01 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -241 - -241. Suppose -2*n + 4*s + 18 = k, -7*n + 8*n - s = 4. Which is greater: 2\/101 or n?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.001 (b) -6 (c) 408 (d) 4\/5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1247+-1269414\nAnswer: -1269413.8753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 - 271*o**2\/6 + 8540*o\/3 + 29400.\nAnswer: (o - 140)**2*(o + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.2, -4, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(648) - (sqrt(648)*-2*-1 + sqrt(648) - sqrt(648))) + sqrt(648))*-4)\/((-1*sqrt(1089) - sqrt(9)) + sqrt(576)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6916*x**3 - 14*x**2 - 35*x + 14. Let u(i) = -3*i**3 - 2*i**2 - 5*i + 2. Calculate 2*t(v) - 14*u(v).\nAnswer: -13790*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*x, -3*m - 26 = -2*x + 6*x. Let g be 4\/((-12)\/(-17)) + (53 - 58). What is the fourth biggest value in m, 4, 2\/21, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1207 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.47739544 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364977, -729972, -1094977, -1459998, -1825041, -2190112, -2555217?\nAnswer: -2920362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 109 = f, -28 = 5*m - 4*f - 134. Let w = -5 - -13. What is the remainder when m is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(f + 22*f**2 - 2*f - 21*f**2).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*j**2 + j**2 - 6 + 54 + 3*j**2 wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + 162*u - 811. What is h(52)?\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1404982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(110)\/(sqrt(10)*2)*3)**2 - 1*(sqrt(132)*1)\/sqrt(3).\nAnswer: -2*sqrt(11) + 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {d: 2, v: 1, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (2 - (33\/3 + -7)). Suppose -5*l - 4*j = -0*j - 6, -2*l = -j + 8. Put l, b, -10 in descending order.\nAnswer: l, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 9*c**3 - 18 - 28 - 31 + 98.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2923*h**2 - 4096*h - 5. Let l(c) = -c**2 - 3*c - 1. Let i(r) = 5*l(r) - z(r). What is the second derivative of i(d) wrt d?\nAnswer: 5836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.071, -0.4 in ascending order.\nAnswer: -4, -0.4, 0.071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1570377199 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*p + 30. Let u(c) = 0 + 0 - 7*c + p*c. Let n(t) = -4*t**2. What is n(u(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 - 0.17. Let z be (4\/(-6))\/(4\/6). Let j be (-2 - 0)\/z + 0. What is the nearest to f in j, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)\/s*(s**(16\/7)\/s)\/s)\/(s\/((s\/s**(3\/4))\/s))**(-16) assuming s is positive.\nAnswer: s**(403\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - 466. Let d = l + 524. Calculate the greatest common factor of d and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -845.9039 - -850.28. What is r rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -q + 5*f - 7, 0 = -5*q + 2*f + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*c**2 - 250*c**2 - 236*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 11525.\nAnswer: 3\/11525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000100 - -100000?\nAnswer: 10001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Suppose -3*b - t + 20 = 8, -3*t + 18 = 3*b. Suppose 5*u + 5 = x + 1, 0 = -x + b*u + 4. Let n be 6\/x*(-2)\/(-3). What is y(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0258 - -0.0422. Let g = 599.2 - 599.13091. Let a = c - g. What is a rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/20))\/(y**8*y))\/((y*y\/y**(-2\/45))\/y**1) assuming y is positive.\nAnswer: y**(-1619\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6663 + 6664 + 6275 - 26267 + 45*t + 6663.\nAnswer: 45*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 421*i**2 + 34543*i + 1721. Calculate l(-82).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -23, 5754 in decreasing order.\nAnswer: 5754, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 4. Let q be v(16). Suppose 21*z + q = 25*z. Calculate the greatest common divisor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 10*l - 12*l + 25882, 4*u + 12959 = l. Is l a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2958 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dakdgfhh. What is prob of picking 1 d, 1 g, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 - (0 - (-4 - -1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78300*g + 26 + 80*g**2 - 7*g**4 - 78303*g - 24 to t*g**3 + x*g**2 + q*g**4 + i*g + d and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f - 16. Let w(v) = -7*v - 18. Let n(k) = 6*d(k) - 5*w(k). Suppose 0 = 4*b + 2*u - u + 32, 3*u - 40 = 5*b. Determine n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123879257 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4 - 2*s + 3*s - 5*s + s**2. Let q(b) = -b + 1. Let h(m) = -m - 6. Let t be h(-7). Calculate t*d(x) - 4*q(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 101*x**2 + 1426*x + 42. What is f(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by -6?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/7038*-2)\/(3\/54)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/15 + 44258*k\/15 + 14752\/5 = 0. Calculate k.\nAnswer: -22128, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2699 - 2893.7. Let i = -207.81 - m. Let p = -13 - i. Which is greater: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n + 57*n = -16. Suppose 3 = 2*h + h, -5*q = -n*h - 21. Is 3 + q\/((-20)\/(-15032)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 + 39*r + 158 + 8*r - 485 + 155.\nAnswer: 47*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6202053234?\nAnswer: 2, 3, 13, 26504501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15266702, -1, -2 in descending order.\nAnswer: -1, -2, -15266702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 2*f**7\/21 - 2*f**6\/15 - 3*f**5\/5 + 5*f**4\/3 - 4*f**3\/3 - 2*f. Find j, given that p(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3 - (-165)\/630)*-2. Suppose 0 = 3*y - 3, 0 = -0*d + 3*d + y - 487. Sort -4\/5, d, n.\nAnswer: -4\/5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i**2 + 12*i + 687. Let v(p) = 5*p**2 - 5*p - 342. Let m(n) = 5*v(n) + 2*x(n). What is m(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/100560 and -53\/33520.\nAnswer: 100560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:09 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2535 + 608. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Suppose 0*d = d + 5*k + 31, j = -3*k + 3. Let g = d + 50. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o**2 + 18*o - 6. Let n(i) = -5*i**2 + 6*i - 2. Let w(v) = 17*n(v) - 6*t(v). Determine w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 3*g**2 + g - 11. Let u(x) = -3*x**3 + 7*x**2 - x + 21. Let h(n) = -5*t(n) - 3*u(n). Suppose -3*z - 9 = 9. What is the units digit of h(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14389.\nAnswer: 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 841*l - 4 - 843*l)*(-3*l**3 + 3*l**3 - 2*l**3 + (4 - 8 + 29)*(2*l**3 - 4*l + 4*l)).\nAnswer: -96*l**4 - 144*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d + 52*d + 40 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r - 31090. Suppose -21*m + 16*m = -r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.02 and 23.39.\nAnswer: -117.4178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -79508.\nAnswer: -3\/79508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(18\/11)*n*n\/n**(1\/31))\/(n\/(n\/n**(-39))*n**(-17\/3)))**(2\/17) assuming n is positive.\nAnswer: n**(98762\/17391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*v - 594*v - v**3 + 367143*v**2 - 367143*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 432*x - 74*x - 122*x - 112*x - 70*x. Let a(r) = 398*r**2. What is z(a(d))?\nAnswer: 21492*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 951*n**2 + 340069650*n - 340069650*n.\nAnswer: 951*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 128582?\nAnswer: 128582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 1.98. Let z = 4 - t. Put z, -5, -0.5 in descending order.\nAnswer: z, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 3 (c) 2 (d) -2.19 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = -12 - 20. What are the prime factors of 1*(f\/4)\/((-12)\/6576)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 + i**2 - i + 1. Let f be r(1). Is 13 a factor of (-210)\/(-5) + 2 - f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 10*i**2 + i - 7. Let l be h(10). Find the first derivative of 2 - 3 - x**3 - l wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3375 and 159101775.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 25 - (25 + -74)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Suppose b*v - 33 = 2*t - 4, t - 5 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:28 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t = -83*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 1. Let t be k(4). Solve -t + 24 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 3*m)*(6 - 4 + 0)*(m - m + 3*m + 2*m - 2*m + 3*m + (-2 - 1 + 2)*(-2*m - 3*m + 3*m) - 1 + 1 + m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -2*u**7\/105 + 2*u**6\/5 + 23*u**5\/5 - 40*u**4\/3 + 35*u**2 - 20*u + 1. Determine j so that n(j) = 0.\nAnswer: -5, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.278 * 25.\nAnswer: -481.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1319 + 2212. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*h, 5*z - 4 = -5*h + 6. List the prime factors of -10*((-9)\/(-6) + h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5*(-8)\/1380)\/(17\/(-51)). Let j(c) = c**3 - 2*c**2 + 2*c - 1. Let m be ((-4)\/8)\/((-2)\/4). Let o be j(m). Is l >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 12\/9 - (-15)\/9. Solve f - 1 = n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**2 - 7*v. Let k = -21 - -14. Suppose 51*b + 5 = 50*b. Let l(u) = -7*u**2 + 5*u. Calculate b*n(w) + k*l(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111.1 + -111. Which is the closest to -1\/3? (a) u (b) 0 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.47979 to 2 decimal places.\nAnswer: 43.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/30 and 7\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(637))*6 + sqrt(637) + (5 + (0 + sqrt(637))**2 - sqrt(637)))*-2.\nAnswer: -1284 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1321976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 8. Let j be -2 + y - (-2 + 2). What is the second derivative of -q**2 - q - q + j*q**2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 706 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3055586118?\nAnswer: 2, 3, 13, 19, 331, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 5. Let d be (-2 - a - 0) + 2. Solve d + 0 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131099 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11101 (base 2) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h. Let z(g) = 13*g. Suppose -2*k = -22*k + 120. Calculate k*z(x) - 11*u(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/25, 3\/4, -0.7 in ascending order.\nAnswer: -0.7, -6\/25, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0574072 to three decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1790151.2 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 6*o + 4. Let u be q(-6). Let s = u - -11. Solve 0 = 3*y + 2*y - s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:35 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/15)\/(1\/3). Let a be -1 - (2*-2)\/w. Let u = a - -3. Solve 0*t = t + 5*j - 11, 4*t + 5*j + 1 = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-4\/5))\/n))**(-7\/5)\/(n\/(n**(2\/3)*n*n))**(1\/23))**11 assuming n is positive.\nAnswer: n**(-46442\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 u when three letters picked without replacement from {m: 1, f: 3, u: 6, a: 4, y: 1, e: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689254519 to the power of 1\/2, to the nearest integer?\nAnswer: 41101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 3*p + p + 3 - p. What is the tens digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 + 60*f**2 + 87*f + 82. Let t be d(16). What is the greatest common factor of 90 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3399, 26, 16 in descending order.\nAnswer: 26, 16, -5, -3399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-8)*(-16)\/12. Suppose 9*j = i*j + 348. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8302 - -8301.921. Let y = 1.1 - -0.9. What is the biggest value in -5, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 9:41 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/7 (b) 0.3 (c) -24 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29902537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - x**2 - 8*x**2 - 6*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1512667.17 nanoseconds to weeks.\nAnswer: 0.000000002501103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -26*((-10)\/75 - (-123)\/(-90)) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l**3 - 9941399 + 9941399.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 greater than or equal to 243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 103. Let z be c\/(-100) + (-1)\/(5\/(-11)). Find the third derivative of -18*h**z + 0*h**4 - 6*h**5 + 0*h**4 - 2*h**2 - 3*h**4 wrt h.\nAnswer: -360*h**2 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9*s = -11*s - 88, 0 = -4*o - 2*s + 64. What is the remainder when 558 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180542 or 1576?\nAnswer: 180542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -774*r*w**2 - 74*w**2 + 2 wrt r?\nAnswer: -774*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 - -1 - (-6 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t + 1. Let v = 553 + -552. Let m be s(v). Let o(c) = 4*c**2 - 1. Let g be o(1). Solve m = g*x + 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -674*n + 668*n - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k**2)*(2*k**3 - 6*k**3 + 2*k**3) + 0*k**5 - 4*k**5 + 5*k**5 + 0*k**3 + 2*k**2 + 0*k**3 - k**5.\nAnswer: -4*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -119\/3. Let k = -54\/13 - -229\/52. Which is the nearest to -1\/2? (a) k (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/11 - 9860*n\/11 - 29598\/11 = 0. Calculate n.\nAnswer: -3, 4933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-150)\/300 + 0 + 1)*(799874 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 711, 3\/8, -0.468?\nAnswer: 711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*g - 42 = -222, 2*p + 2*g = 104. What is the remainder when ((p - -5) + 6)\/((-1)\/(-5)) is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124747339.\nAnswer: 109, 613, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-2 + -4 - (sqrt(192) - (sqrt(192)*-2*1 + sqrt(192)))) + (1*sqrt(192) + 1 - sqrt(192) - 6*sqrt(192)*-2) + -1)**2*-3*4.\nAnswer: -147648 + 6144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3696091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1653*m - 55387. Give d(-31).\nAnswer: -4144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.05 - -0.05. Let n = 0 - 2. Let r = 0.3 + -0.2. What is the third smallest value in r, n, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llfef. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73428.\nAnswer: 2, 3, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335 (base 16) in base 9?\nAnswer: 13324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 + 76*m + 586. Give o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59379\/559 + -2884\/43. Let u = -39 + g. What is the smallest value in 1\/2, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 432*v**6 + 1695*v**6 + 100*v**2 - 2 - 469*v**6 wrt v.\nAnswer: 198960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -10. Suppose 3 = m*q - 12*q. Let v = -13 + 16. Which is the nearest to q? (a) 1\/7 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 20.4. Let m = -1.4 - i. Which is the nearest to m? (a) 0.1 (b) 0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8709508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 96400.1\nAnswer: 578400.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20054 (base 6) to base 10\nAnswer: -2626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8640179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -59*t + 36. Let a(x) = 5. Calculate -6*a(z) + i(z).\nAnswer: -59*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61\/3397 + -1\/158. Let p = 3835\/688 - k. Find the common denominator of 107\/10 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-2 + (-77)\/(-11). Suppose n*l + 0*q = 2*q + 25513, -3*q + 16987 = 2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 13 = -4*p + 105, -2*p = -5*t - 18. Suppose -20*k = -p*k - 1191. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 449144 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, -17, -30 in decreasing order.\nAnswer: 4, 0, -3, -17, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -125?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(7)*4 + ((sqrt(77) - -1*sqrt(77) - sqrt(77)) + sqrt(77))\/sqrt(11))**2 - ((sqrt(14) - sqrt(126)\/sqrt(36))\/(sqrt(16)\/(sqrt(8)*1)))**2.\nAnswer: 13545\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdfdpdpdppd. What is prob of picking 2 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**13\/(u\/((u*u**1*u)\/u)))\/(u\/u**(-1\/4))**(-1\/3))**(-5\/2) assuming u is positive.\nAnswer: u**(-865\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**4 - 3*g**4 + 8*g**4)*(-2 - 2 + 1 + (1 + 0 + 0)*(0 - 2 - 1)).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 710*k**2 + 92*k**4 - 710*k**2 + (23 - 23 - 11*k**2)*(-2*k + 2*k - 2*k**2).\nAnswer: 114*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 6*t - 34. Let b be r(9). Let x(g) = -3*g - 8. Calculate x(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.3, 44, 167649?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 5, -0.04, -9, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-2)*(-20)\/240.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 1 + 1 + (-2*l**2 + l**3 + 2*l**2)*(-2 + 2 - 2*l) + l**3 + l**3 - 3*l**3 - l**4.\nAnswer: -4*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3467, -0.1, 0.3, 0.\nAnswer: -0.1, 0, 0.3, 3467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 10 = 34. Suppose 3*v - 2*v - 3 = -g, -v = -2*g - c. Let b(z) = -z**2 + z + 1. Let s(l) = -l**3 + 6*l**2 - 4*l - 4. Calculate v*b(k) + s(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 3728, 5\/4, -1\/3, -5, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 300934.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 4, b: 5, s: 3, o: 3, n: 1}. Give prob of sequence no.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**2 - 68*p**2 - 3*p**3 + 25*p**2 + 24*p**2.\nAnswer: -3*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**3\/13 - 478*p**2\/13 + 1012*p\/13 + 114 = 0. Calculate p.\nAnswer: -247\/4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 + 14*r - 2. Calculate q(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*-16*2\/(-12)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*f + 155 = 0, 5*f = 848709*h - 848713*h - 230 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47176\/11 + -4285. Calculate the common denominator of p and -16\/53.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 130\/(-14) + (-8)\/(-28). Let w be (-36)\/r - (-84)\/(-22). Is w less than 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4467 + 145*l + 4467)*(-2*l + 2*l + 2*l**2).\nAnswer: 290*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 - 2*r**3 - 2*r**3)*((2 + 1 + 0)*(3 - 1 - 3) + 1 + 1 - 1)*(3 + 4 - 2) to the form n*r + m + g*r**3 + j*r**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3058555654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 4. Let a = -126 - -127. Let z(o) = 36*o**2 + 41*o**2 + 33*o**2 - 111*o**2 + a. Give r(n) + 4*z(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c + 2 + 42 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 180.9. What is the third biggest value in -21\/4, 3\/4, u?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4*y - 32, -y = -3*i - 2*i - 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - (4 + 0)) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12564427 to three dps.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 6, p: 2, j: 1, z: 5, r: 3}. What is prob of picking 1 r, 1 z, and 1 v?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909309489?\nAnswer: 3, 11, 167, 164999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -21, -1, -181 in increasing order.\nAnswer: -181, -21, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(((-25)\/(-30))\/(20\/(-16)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.3 + 38545181963.\nAnswer: 38545182021.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 3*r + 3. Let f be s(-2). Let q be (f - 3)*(1 - 3)\/(-52). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 0 + 0 + 1 - 1 + d - 6*d + d + 3*d + (-1 - 2*d + 1)*(4 + 2 - 4) + 3*d + 2*d - 6*d + (-1 + 1 + 2)*(3*d - 3*d + d + (-3 + 0 + 0)*(3*d + 5*d - 3*d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n - 1154 - 69 = 22 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 5*h + 7. Let x(f) = f**3 - 14*f**2 + 22*f + 71. Let q be x(4). Let k(z) = 1. Determine q*p(y) + 6*k(y).\nAnswer: -3*y**2 + 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + -94. Suppose -18*s + 17*s = -l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 24*j - 10*j - 11*j to the form f + u*j and give u.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13163008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -0.0559 (b) 5 (c) 7 (d) -0.5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) + sqrt(90)*1*4)\/(-4*sqrt(24)\/sqrt(4)))\/((sqrt(12) + 5*sqrt(192))\/(sqrt(4) + 2*sqrt(64) + sqrt(64))))**2.\nAnswer: 21125\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.461 + 0.4585. Let x = u - -0.00249487. What is x rounded to 7 decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 10 - 30. Calculate the remainder when y is divided by 12 + 1 + (-3 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3884, -15578, -35068, -62354, -97436, -140314?\n\"Answer: -3898*o**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 2*r**2 - 146*r - 43. Calculate h(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 205029381*m\/2 - 42037047073243161\/4.\nAnswer: -(m + 205029381)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 2*v)*(-658*v + 361*v + 4 + 365*v).\nAnswer: 68*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*r + 484*r = 3*i + 22, 3*r - 18 = 3*i. Let d(x) = -5*x + 3. Let q(u) = -11*u + 7. Let m(k) = -6*k + 1. Let n be m(1). What is n*d(j) + r*q(j)?\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -298*t**3 - 423.\nAnswer: -894*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 42. Give m(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110111 - -1000?\nAnswer: -10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121124 is divided by 119?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*((-9)\/(-12))\/1. Let g = p - 4. Solve -4 = g*r + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337860 + 89876 = 8*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 97\/4 + 1\/(-4). Suppose 2*t = 6*t - z. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + 0.58. Sort -5, -2\/11, f, -0.2 in descending order.\nAnswer: f, -2\/11, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(10 + -5)*1\/(-2). Let p = 2.03 + -0.03. Let t = -2 - p. What is the biggest value in u, 0.1, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*v + 0*v = -8, 2*z - 2*v - 4 = 0. Let d = z - 8. What is the units digit of ((-3)\/d)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.909547 rounded to three dps?\nAnswer: 2.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-2)*(-17)\/((-1309)\/(-42)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65.1 - -65. Is v less than or equal to -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 368\/460*1*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.914027ml in litres?\nAnswer: 0.002914027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 21 = -47. Suppose -4*l + 27 = -s. Suppose l*g = 5*g - 60. Is -11 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01136754052 rounded to 6 dps?\nAnswer: 0.011368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 - 4095*r**4 + 52719*r**3 + 12291*r**2 - 166374*r + 105456 = 0.\nAnswer: -2, 1, 13, 1352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -12*a**2 + 138 - a**3 - 54 - 56 - 43 + 10*a. Give z(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 191280?\nAnswer: 191279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/14 + (-66)\/(-4) - (-56)\/(-8). Let u(k) = 376*k**2 + 3*k - 7. Let z be u(-5). What is the tens digit of z\/81 - (-2)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10.8. Let d = 0.1 - 0.4. What is the closest to -1 in -1\/7, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 7*r - 13*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 1988030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9}. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*j + 175*j + 153*j as p + d*j and give d.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 110, 368, 874, 1712, 2966, 4720?\n\"Answer: 14*d**3 - 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -2, 5, 25\/122, -0.4, -4 in decreasing order.\nAnswer: 5, 5\/4, 25\/122, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37\/8 in -2\/15, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**3\/3 + 11*p**2\/2 + 7*p. Let x be d(-9). Calculate the greatest common divisor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.4, -1\/142 in increasing order.\nAnswer: -7, -1\/142, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 10791. Suppose -p = 4*c - 15*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 - 421\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1456466 minutes in seconds?\nAnswer: 8.738796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 + 11*n + 11. Let j(q) = -q**2 - 2*q - 2. Let a be (-18)\/(-12) + (-22)\/4. Calculate a*y(v) - 22*j(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79\/2*h**2 - 157\/2 + 1\/4*h**3 + 155\/4*h.\nAnswer: (h - 1)*(h + 2)*(h + 157)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 2 g when four letters picked without replacement from {o: 1, p: 1, j: 1, a: 12, g: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 141.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:35 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 8*h - 3*h. Let x be (((-40)\/18)\/h)\/(-1). Which is the biggest value? (a) x (b) 1\/6 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/(-9) + 2\/(-6). What is the units digit of ((-52)\/f)\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*k - 29*k + 33 = -53. Let w(b) = 40*b**3 - b**2 + 1. Determine w(k).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 24*o + 5. Let i = 603 + -595. Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -2*t. Let g = 14 + t. Solve -g - 8 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 11. Let c be d(-10). Suppose -2*o = o - c. What are the prime factors of -1*o*(-16)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 289899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296*10027.\nAnswer: -2967992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1833027.92 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8833223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2880)\/(-135))\/(-32) - (-21454)\/906) + -23.\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/(-20)*-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014338 rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1962*a**6 + 11612*a**3*g - 1253*a**2*g + 9131*a*g wrt a.\nAnswer: -235440*a**3 + 69672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -7*g - g + 19050. Is 166 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*q + 10 = 0, -4*y = y - 5*q. Suppose -y*x = -0*x. Suppose 36 = -x*j + 2*j. Calculate the least common multiple of 14 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 4 + j**3 - 2 - 7*j**2. Let u be b(4). Let d(y) be the first derivative of 2*y**2 + y + 1. Let k(a) = a + 1. Give u*k(m) - d(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 75\/100*(2 - 22\/12). What is q in -d + 3\/8*q - 3\/8*q**2 + 1\/8*q**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578965711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33719, -32846, -31971, -31094, -30215, -29334?\n\"Answer: h**2 + 870*h - 34590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**2 + 113*r - 115. Determine u(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35722652 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8828 = -10*w + 11*w, 0 = -5*z + 20. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 14.82.\nAnswer: -1.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1\/861785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235128.\nAnswer: 2, 3, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 + -199. Let m(r) be the second derivative of -5*r**3\/6 - 12*r. Let u be m(1). Sort 4, o, u in increasing order.\nAnswer: u, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*u + 32*u + 59826. Suppose -15*o + 21*o - u = 0. List the prime factors of o.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/27 and 166\/(-24) - (-3)\/9.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 16*o - 1. Let s be (-28)\/4*(-24)\/(-28). What is the units digit of w(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31287976 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -4*a, -9 = -5*o - 4*a + 18. Let s(x) = -x**2 + 3*x. Let w be s(o). Solve w*f + 5 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2536936s in minutes?\nAnswer: 0.03756156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*s - 10, 5*s + 0 = 10. Suppose -6*n + 33 + 33 = 0. What is the remainder when n is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 629\nAnswer: 4\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)*(u**3\/u)\/u*u)**33\/(u**1*u\/(((u*u\/(u\/((((((u*u\/(u*u**6*u*u))\/u)\/u)\/u)\/u)\/u))*u)\/u)\/u*u)*(u*u**(-6))\/u**(2\/7)) assuming u is positive.\nAnswer: u**(562\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i + 100. Let d be p(23). Let j be (30 - 26)\/(d\/146). Suppose j*s - 71*s = 0. Solve k - 2 = s, 2*n - 4*n = -3*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74\/5 - -528\/35. Let x = 106\/5 - 21. Let t = 5 - 5.5. Which is the nearest to x? (a) -2\/11 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(2\/7)*s)**(-2\/33)*s\/(s*s\/s**(3\/4))*s**10 assuming s is positive.\nAnswer: s**(8857\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -6 - -9 - (2 - -7) - 21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s\/(s*s**(-1\/3)))\/s*s))**(1\/2)*(s*s**1)**(6\/31) assuming s is positive.\nAnswer: s**(67\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*o = -2*d + 12, 0 = -d - 4*o + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -j + 5*t, 19 = 3*j - 6*j - 2*t. Let l(n) = -3*n**2 - 9*n - 10. Give l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 42, 2, -5 in decreasing order.\nAnswer: 42, 10, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82117 = -236*q - 58045 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.12 - 0.28. Let n = -9 - -10.4. Let i = n + u. Which is the third smallest value? (a) i (b) 3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 4*l + 3. Let c be b(-2). Suppose 5*x - c = -5. Suppose -1 - 10 = -x*v - 3*n, 0 = 3*v - 2*n - 36. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:47 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2185 divided by 4.\nAnswer: 2185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 95679 = 113*j + 29459. Does 77 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 + 180. Let x be (-670)\/15 + -1*(-5)\/w. Are -1\/3 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40080079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2 - 2. Suppose v - 7 = -f. Suppose 5*h = n - 34, n + h - 21 = -23. Solve -n*s = -f*i + 4 - 1, -i + 1 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 2*n**2 - 2*n**2 + (1 - 7*n - 1)*(-2*n + 4 + 2*n**2 + 1 - 4) to the form h*n + k*n**2 + x*n**3 + a and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.01, -29 in descending order.\nAnswer: 2, 0.01, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/3)*h))**(-34)*(h**0)**(1\/68))\/((h**(1\/2))**48\/((h**(2\/13)*h)\/(h*(h*(h*((h**(1\/6)*h)\/h)\/h)\/h)\/h))) assuming h is positive.\nAnswer: h**(-9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.8 from 12354.7576.\nAnswer: 12351.9576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6998 in -156, 4\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 429 = c. Let b = 111 + -111. Suppose 5*r - 3*w - 65 = -0*w, b = 5*r - 5*w - 65. What is the greatest common factor of c and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 276*v + 893. Let g(r) = 24*r**2. Determine b(g(h)).\nAnswer: 576*h**4 - 6624*h**2 + 893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**8\/336 + 4*n**7\/105 - n**4\/4 + 2*n**3\/3 + 2*n**2 - 17. What is the second derivative of q(j) wrt j?\nAnswer: 20*j**3 + 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 78, 142, 206?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = c + 240. Let v = 30 - c. Is 1971\/v*(-2)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18 = -3*t, 5*m - 3*t = 2*m + 12. Let r = -2 + m. Let o = -20 - -20. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 + 1 = 0. Suppose 0 = -g - 3*g + 16. Sort -1, g, m.\nAnswer: -1, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4758099208 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*x - 5*x. Is (739 + (-1 - -1))\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09412 + 1.27788. What is t rounded to 2 decimal places?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v**2 + 13*v**2 + 16*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:24 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 26425102785339.\nAnswer: 26425102785337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43826+-15277.036732\nAnswer: -59103.036732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2262, 4441, 6620?\nAnswer: 8799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 2*i**3 - 3*i**3)*(1590 - 1590 + 255*i**2).\nAnswer: -510*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Suppose 7 = -2*b + 1, 0 = -2*f - 2*b + 12. Suppose 0 + 9 = -f*y. Sort l, -3, 4, y in decreasing order.\nAnswer: 4, y, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*v + 1669, 3*l - 7*v = -6*v + 1661. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1286912 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 24092*w\/11 - 8193574\/11.\nAnswer: 2*(w - 331)*(w + 12377)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(403\/104)*13\/936.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p - 124*p = 1090. Let z = -16 - -15. What are the prime factors of (-5*z\/10)\/((-1)\/p)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54743.8 litres in millilitres?\nAnswer: 54743800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -7. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.2 - -37. Which is the closest to -2? (a) -1 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819307484.\nAnswer: 2, 3, 50536319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 598247 or 526?\nAnswer: 598247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66908 - 26120. Is l a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, z: 4, m: 4, l: 5}. Give prob of sequence zlm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 4:16 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.1057\nAnswer: 0.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*k + 100 - 2*k + 9*k)*(3*k + k - 5*k) to w*k + v + l*k**2 and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -5. Suppose -5*o = -129 + 34. Suppose 5*u - 16 = o. What is the remainder when l is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 16*w**2 - 15*w + 84. Determine f(15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 7*t**2 - 5*t. Let x be f(0). Solve x = 22*u - 4*u + 126 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 6, o: 1, m: 4, c: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d**2 - 8*d + 25. Let t(o) = 41*o**2 - 24*o + 76. Give 7*f(y) - 2*t(y).\nAnswer: 2*y**2 - 8*y + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1340507 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*j**3 - 11949*j**2 + 8*j - 5127.\nAnswer: 60*j - 23898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 3, -6\/197, 17 in descending order.\nAnswer: 73, 17, 3, -6\/197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000161211 rounded to 7 dps?\nAnswer: -0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26167442 + -9?\nAnswer: -26167450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 17. Let o = 8275.8 - 8276. Which is the biggest value? (a) n (b) o (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2 + 12)*1. Suppose -29*p = -7944 - 7774. Let t = -540 + p. Solve v - t*l + q = 0, -4*v - 2*l - 24 = -3*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from rfuuuuuuu?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/6 + h**2\/3 + 7*h\/6 + 2\/3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/30 and 139\/312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 2*q**2 + 7*q - 6. Let u be x(5). Suppose g = -3*g + u. Let s(f) = 7*f - g*f + 15*f. Let j(d) = d**2. What is s(j(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 314, 671, 1042, 1427, 1826, 2239, 2666?\n\"Answer: 7*r**2 + 336*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5101124 and 3956.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 253*u + 9378. What is v(-37)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21974014.\nAnswer: 2, 257, 42751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 609, 922, 1255, 1614?\nAnswer: 2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1790488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 8*j - 11. Let b be z(-10). What is the second derivative of b*v + 5*v**3 - 7*v**3 + 2*v**4 + 2*v**3 wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/6*(-10 + -8). Let h = 2 + w. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 17)*(6 + 84*b - 23 + 20) in the form t + u*b and give u.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (1 + -5) - (-5781)\/1927\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45777578051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.688 + 0.088. Let q = 1.3 - -3.7. Let k(d) = -d**3 - 5*d**2 + 6*d + 4. Let v be k(-6). Which is the smallest value? (a) v (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:21 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5 + 44*n**4 + 288*n**3 + 620*n**2 + 542*n + 168 = 0.\nAnswer: -12, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104164 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5829, 23490, 52985, 94320, 147501?\nAnswer: 212534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1185*a + 37924. Let c = 135 + -24. What is the remainder when c is divided by l(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(4 + -2*sqrt(720)*-1*5 + 5))**2.\nAnswer: -2306592 - 69120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3144759, 6289457, 9434155, 12578853?\nAnswer: 15723551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3314142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6725*m. Let g(o) = 101*o**2. What is x(g(l))?\nAnswer: 679225*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 6321179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 889185441 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (13 - 14 - (0 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 21645?\nAnswer: 21645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 4*x - 4. Let q = 8 - 3. Suppose 0 = -q*k + 3*k - 6. Let b(l) = -l**3 + 3*l - 3. Give k*p(r) + 4*b(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-39)*2\/(-42)*(-39)\/13.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 + 7*l - 1 + 11*l + 10*l + 13*l + l**3 - 35*l. Let q be -3 + (1 + 3)\/(-1). Let y(b) = b**3 - 7*b**2 + 7*b - 1. Calculate q*k(z) + 6*y(z).\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 113.781295192769 and 4.\nAnswer: 117.781295192769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y, 431*k - 433*k - 4 = -2*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-20) - (-9)\/4. Let n(d) = -2*d - d**2 + 5*d**2 + 4 - 3*d - k*d**2. Determine n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.7 (c) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12*y - 77 = 0. Suppose -y = -4*a + 1. Suppose -5*r = -t + 78, -a*t + r + 3*r = -138. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 35.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.95243507 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10.4 times 841\nAnswer: -8746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 45 = -7*g. What is the highest common divisor of g and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 640146*a**4 + 2*a**3 - 3766259*a?\nAnswer: 7681752*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 19*s - 2*q - 562 = 0, -q - 140 = -s. Calculate the least common multiple of 3 and s.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -246 (b) 2\/15 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5061\/8 - 6\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from hffhqffqwqhhhhss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 5*j**2 - 28*j - 158. What is the least common multiple of p(-5) and 144?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 508291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y**(-1\/13))**34 assuming y is positive.\nAnswer: y**(4386\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 88.5. Which is the closest to -2\/5? (a) -4 (b) t (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from caaaccavvwwcccwca.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 3*b - b + (3 - 4 + 0)*(0*b + 3*b - 5*b) - 7*b - 2*b + b + (-3 - 1 + 3)*(3*b + b - 3*b) as j*b + o and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 1)*(2*v**4 + v**4 + v**4 + (v**3 + 2*v**2 - 2*v**2)*(6*v - 4*v - 3*v) + 3*v**2 - 3*v**2 - v**4).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1557991030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8851517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 = -3*o + 28, -16 = 3*o - 5*d. Solve 20*u - 92 = -o*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1990 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-1)*(-14)\/(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 4\/(-2) + 21. Let g(x) = x**3 - 8*x**2 + 7*x + 3. Let j be 8 - (-1 + 3 + -1). Let k be g(j). What is the greatest common factor of s and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5957?\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00240077 rounded to five dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 27*k - 100. Let d be g(24). Let j = d + -557. What is the smallest value in -0.5, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 7*l - 3*l**2)*(-21 + 21 + 8*l) + 0*l**3 - 2*l**3 - 3*l**3.\nAnswer: -29*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.57 + 3.57. Which is the third smallest value? (a) s (b) 0.5 (c) -4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/7 + 8032404*x\/7 - 8064939252402\/7 = 0?\nAnswer: 2008101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 397 - 2175. Let o = l + -925. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/32508 and 17\/72.\nAnswer: 65016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 39*d + 57. Let f be a(37). Do f and -292\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 + -3.79. Let i = -2943 + 2943. What is the nearest to i in 0, -3\/5, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57.68 * 1244\nAnswer: 71753.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**4 - 49140*p**3 - 1525605*p**2 - 10141470*p - 8665008 = 0.\nAnswer: -22, -8, -1, 16411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let z be (-2)\/(-2) - (-8)\/2. Suppose z*m = 2*t - 6, -3*m = 2*t - 10 + 4. Is m at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5036798483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u - 33*u = 65*u - 144 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2 + 12*i**2 + 2*i + 0*i + 9*i**2 + 8*i**2. Let r be g(2). Let b = 245 - r. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(5525\/(-34))*3\/(6\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a + 4. Let u(w) = w + 8. Let x(y) = -y - 8. Let p(t) = 4*u(t) + 5*x(t). Let f(s) = -2. Let j(o) = -9*f(o) + 2*p(o). Give -3*b(z) + 7*j(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 g when four letters picked without replacement from giefqgaqqff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-42)*7\/(-126)*3771\/(-2095).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(52)*-1 + sqrt(52) + (-1*sqrt(468))\/sqrt(9))\/((sqrt(64)*-1 - sqrt(4))*6)*-4 + 1.\nAnswer: 4*sqrt(13)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 27*i + 2 - 2*i**2 - 14 + i**2. Let c be d(25). Suppose 0 = 46*f - 47*f - c. Is 0.1 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2304*i - 28285 = 448*i + 20211 + 29456 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384475?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**2 - 121*c + 4*c**2 + 119*c - 10*c**5 - 27*c**2 wrt c.\nAnswer: -600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -3)\/((-8)\/12). Suppose -q*p = -6*p - 12. Let z be p*-1 + 34\/8. Sort 2, z, 4\/5.\nAnswer: z, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18566 is divided by 741?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 184820066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t - 1. Let m be v(-4). Let y = 65\/2 + -443\/14. Let q = y + 9\/14. Which is the closest to -2\/7? (a) q (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4002*r**3 - 650*r**3 - 427*r**3 + 5263*r**3.\nAnswer: 8188*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - f)*(-47524 - 71681 + 1885 - 7598 + 8991) in the form m + y*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -486 + 486. Solve v = -k - 0*m - m, -2*m - 2 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -497*b**4\/6 + 166*b**3 - 2*b**2\/3.\nAnswer: -b**2*(b - 2)*(497*b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -16. Let x be (2\/(-3))\/((-14)\/j). Are -1 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 2*u)*(3 - 1 + 0) - 3 - u + 3.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181260 is divided by 45311.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 671?\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70637617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11370.\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anq when three letters picked without replacement from {q: 2, b: 6, x: 2, n: 3, a: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237220 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11.07, 2\/7, -2, 35.6, 0.17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 3*y. Let d be q(-2). Is 4 a factor of 5 + d - (0 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20047 - 19984. Let q(p) = p + 25. What is the remainder when n is divided by q(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26901.00012074 + -26901. Round c to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*g - 14 = 0, -g = 3*l - 20703 + 20699 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*b**3*f**3*p - 6*b**3*f**3 - 2*b**3*f**2 - 3*b**3*f + 6*b**2*f*p + 2*b wrt f?\nAnswer: -192*b**3*p - 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 324057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 61. Let o be q(29). Suppose -o*h + h - 19 = -3*w, 3*h - 19 = -5*w. Sort 3, h, 1, 12 in increasing order.\nAnswer: h, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 5. Let i(r) = 3*r + 6. Let c(b) = 5*i(b) - 6*z(b). Let s be c(2). Calculate the highest common factor of s and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 80*t**2 + 514*t + 18. Let b be g(-8). Suppose 1\/2*l**b - 11\/6*l - 2\/3 = 0. Calculate l.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/37, -26, 39, 1, 9.3 in decreasing order.\nAnswer: 39, 9.3, 1, 2\/37, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 210?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6940 = -549*i + 34280 + 19325 for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -257, -755, -1585, -2747, -4241, -6067, -8225?\n\"Answer: -166*f**2 - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 154*d - 4541 + 75. Sort 0, 40, d.\nAnswer: 0, d, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0 - 5) + (6 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48980 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 + 3)*(-5*y + 2*y + y) + 1 - 1 - 2*y + (4*y - 2*y - y)*(-2 + 1 + 4))*(-15 - 38 - 33 - 24).\nAnswer: 1210*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431 + -339. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 + 1818*r**2 + 393382*r + 1163838 = 0.\nAnswer: -559, -347, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-67)\/(-536))\/((-12)\/(-8) + -2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 + -5.4986085512\nAnswer: -10.2986085512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 - 2*v**2 + 2*v**3 + 0*v**3 + v - 2*v**3 as g*v**4 + s + m*v**3 + x*v**2 + o*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, 0, -0.4, 0.829 in decreasing order.\nAnswer: 0.829, 0, -0.4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166.39 + -0.39. Let n = v + -170. Is 18 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 64*u - 61*u = 99 - 48, 0 = -4*g + 2*u - 40 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -1.0749.\nAnswer: 0.064494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017279 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 9*m - 15. Let d be r(10). Let p = d - -36. Suppose 2*q + p = 3. Put 3, q, 1\/3 in ascending order.\nAnswer: q, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 divided by 4150?\nAnswer: -167\/4150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = 2*h, -2*v + v = -4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*o**2 - 34\/3*o + 76\/3 = 0. What is o?\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8539924 and 89\/44.\nAnswer: 93939164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*x + 2*x - 4*f, 5*f = -3*x + 20. Calculate the least common multiple of 1 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1704 = -5*l - 1801, 4415 = 5*d + 5*l. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(85) - -1*sqrt(85)*5)\/((sqrt(10) + sqrt(20)\/sqrt(2))\/sqrt(2) + sqrt(5)).\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613044874?\nAnswer: 2, 13, 41, 367, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 4 + (54 - 8). Let v = p - 33. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.5, 0.4, -2, 4, -5.64?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9888, 19775, 29664, 39555, 49448?\nAnswer: 59343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1174950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -779 times 252\nAnswer: -196308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = -2*o, -2*o - 4 = -3*h - 2. Let r be o\/10*(1 + -16). Let d = 65 - 11. Calculate the greatest common factor of d and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2682 and 58706.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -41. Let p be r\/(-6) + (-1)\/3. Find the first derivative of -2 - 5*h**3 - 6*h**p + h**2 + 5*h**2 wrt h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1722 and 166542?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.98*-0.507\nAnswer: 1.51086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1460547495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z - 18. Let t(j) = 203310*j + 2 - 2 - 203317*j. What is l(t(v))?\nAnswer: -21*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3589 + -73085.\nAnswer: -69496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567534279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*t**2 + 82*t**3 - 205*t**2.\nAnswer: 82*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 2 + p + 1 - 8. Let u be l(-7). Suppose 2*i + u = w, -2*i = i - 6. What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1190*y - 3. Let t(w) = -960323*w - 2422. What is 2422*n(i) - 3*t(i)?\nAnswer: -1211*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, 2\/9, 17, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 2\/7 (c) 1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*r**4\/8 + 411*r**3\/8 - 27*r**2\/4 = 0. Calculate r.\nAnswer: 0, 2\/15, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4737, -4597, -4383, -4101, -3757, -3357, -2907, -2413?\n\"Answer: -d**3 + 43*d**2 + 18*d - 4797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/52 - (-4 - (-267)\/(-39)). Solve 9 + a = -4*o + 3*p, -5*o - 25 = -5*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**2 - 293*x - 6201. Give d(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 211 (b) 64 (c) -0.08 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 62, 3, 12 in descending order.\nAnswer: 62, 16, 12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22*f - 113. Give y(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1442801 - 45?\nAnswer: 1442756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 513 - 907*t - 513 to p + v*t and give v.\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/(g\/(g\/g**2))*(g*g**(2\/9))**(-11))**(2\/13) assuming g is positive.\nAnswer: g**(-1982\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 6*n - 4. Suppose 4*c - 36 = -2*h - 0*c, -n*h = -c - 54. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283520 = -3*j + 2*d + 186109, -2*j + 4*d + 313070 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/((-6924291)\/66)*-37.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/638 and -53\/1682?\nAnswer: 18502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 355122428 and 355122429 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + v**3 + 81 + 5*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 + 3*d**2 - 4*d**2)*(2*d + d - d) - d**3 - d**2 + d**2 + 2*d + 0*d + 226*d**3 + 122*d**3 to the form t*d + n*d**2 + b + o*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*f = -239*f + 2728. Calculate the lowest common multiple of f and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 7*i**4\/2 - i**3\/3 - 2*i**2 - 5*i + 4. Suppose 0*h - 10 = -2*h. Let d be u(h). Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, n: 2, x: 1}. What is prob of picking 4 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 4*p**2 - 3. What is l(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -37*c + 241. Is 15 a factor of i(-59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*s**2 - 215*s**2 + 70*s**2 + 52*s**2 + 60*s**2.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*i = 70*i - 635800. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20619983660 to the nearest one million.\nAnswer: 20620000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 3950 - 3880 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5\/9 + 2*f**4\/9 + 284*f**3\/9 - 1736*f**2\/9 + 784*f\/3 = 0.\nAnswer: -14, 0, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 36.1. Let r = -74 - -73.75. Which is bigger: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuqikkuiqqqqkkmi. What is prob of picking 2 q, 1 k, and 1 m?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/8)\/((-157)\/157)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 34*g**3 + 104*g**2 - 1056*g - 3456.\nAnswer: -(g - 36)*(g - 6)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -49*m**6\/30 - 44*m**2 + 2*m + 21. Differentiate a(t) wrt t.\nAnswer: -196*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -396, -789, -1188, -1593, -2004, -2421, -2844?\n\"Answer: -3*s**2 - 384*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4246795 rounded to the nearest ten thousand?\nAnswer: -4250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1091740*a**2*l + 4*a*l - 395261*l + 6 wrt a.\nAnswer: 2183480*a*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 6141?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*s - 68, -5*m + 3*s + 2*s + 140 = 0. Let i = -30 + m. Calculate the remainder when (-7)\/(-2) + (-3)\/(-6) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4679 + 8859 = 0. What are the prime factors of t?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 10}. Give prob of picking 1 x and 1 b.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 1. Suppose 0 = -t*d - 2*d - 280. Let c = d + 390\/7. What is the nearest to c in 0.3, -1, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154756, 1238027, 4178348, 9904249, 19344260, 33426911, 53080732?\n\"Answer: 154755*l**3 - 5*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/(-69) - (-4)\/6. Let y = d - -17. Solve 6*r + 3 = 3*r + 4*h, -3*r - h = y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from elvvgzvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from rrererrr?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**9*n)*n\/(n\/n**(3\/4)))\/(n**(-1))**(18\/7) assuming n is positive.\nAnswer: n**(-159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(5\/7)\/j*j)*j)**(-2\/57)*(j**(11\/2))**(-2\/41))**(2\/7) assuming j is positive.\nAnswer: j**(-9106\/114513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(141*z**3 - 275*z**3 - 16*z**2 - 2 + 142*z**3) to i*z**2 + j*z + g*z**3 + h and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-18)\/(-6)))\/(18\/1053*13)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -2, -0.9, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*k - 215*k - 213*k = 345 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529 - 391 = -36*t - 49 + 353 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.012 (c) -33\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 2166406.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -67 + ((-3)\/(-1))\/(-3). Let u = 78 + o. Suppose -32 = -u*z - 12. What is the nearest to -5 in z, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 438, 63, -454, -1113?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:56 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - 246\/(-18))*(-18)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/17? (a) 0.01 (b) 2 (c) -0.22 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**45)**(1\/45)*(i\/(i**3\/i*i*i))\/((i*(i\/(i**(-4)*i))\/i*i)\/i)*i*i**0*i*i*i**(1\/2)*i assuming i is positive.\nAnswer: i**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 274*x - 163*x - 1221 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000996 rounded to 6 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 36. Let c be (-4)\/p - 325\/(-45). Solve 0 = 5*v + 2 - c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/267397 and -97\/12763218?\nAnswer: 855135606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-25)*(-680)\/2. Calculate the highest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a - 49*a - 12*a)*(3 - 11 + 7 - 3*a) to q + d*a + u*a**2 and give u.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2304*c**3 + 11*c**2 + 409*c - 2 wrt c.\nAnswer: 13824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 - 5*v**4\/12 - 3*v**2\/2 + 4*v. Let s(g) = -g**3 + 4*g**2 + 2. Determine 4*r(i) + 5*s(i).\nAnswer: -i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-15229)\/(-157))\/873)\/(8\/1134)\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10101000101111101 (base 2) to base 5\nAnswer: -10231042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 6*y + 2. Let p be f(7). Let x be (18\/(-8))\/((-139)\/(-28) - 5). What is the highest common divisor of x and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 319137.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -0.02, 0.2, 4, 317?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-4)\/4 - -4. Suppose z*k - 12 = k. Let q(l) = -l**3 + 3*l**2 + 7*l - 10. Let p be q(k). Let c(h) = h**3 - h**2 - 3*h + 3. Give c(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -31 + (1 - 3 - -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 + -1.24. Which is the second biggest value? (a) 1\/11 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 0.0057.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*s + 59*s. Let b(y) be the first derivative of s*y + 5 + 1\/10*y**5 - 1\/3*y**3 + 0*y**2 - 1\/8*y**4. Find o such that b(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-8)\/(-426))*28. Let t = 4430\/3 - g. Calculate the common denominator of t and 48\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 21 + 21 = 0. Which is smaller: r or -21\/16?\nAnswer: -21\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24655725.0659706511 + -24655725. Let y = 0.06597 - w. Round y to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:34 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1370 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d - 63. Let v be m(5). Let u = 1120 + -1102. Solve -8*t - u = -v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.48 - -3.62. Let l = 17.100000301 - s. What is l rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4, -3*l + 3*h + 2*h + 26 = 0. Suppose 0 = 4*f + 5*j + 23, j = -l*j + 15. Does 9 divide f\/9*6*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -114c0b - c33?\nAnswer: -115a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -810, 5, 0, -5 in descending order.\nAnswer: 10, 5, 0, -5, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1073, 2060, 2961, 3776?\nAnswer: 4505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f - 80*f + 127*f.\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = -5*b. What is the second derivative of -1 - q**2 - 3*q + 6*q + 3 - 215*q**3 + 214*q**b wrt q?\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 54 = -22. Let h be -2*(-6)\/(-8)*b\/(-6). Solve -w = c - h, 3 = -c + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 744 and 816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 7, 7, -3, -29?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 3)\/(4\/(-8)). Let w be (-4 + (2 - -3))\/((-1)\/b). Let n be w*(2\/(-14) + 0). Which is smaller: 0.06 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2 + 5\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and (-9)\/(-6)*3\/(-9)*-24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 35*b - 85. Let n(u) = 6*u - 15. Let i(f) = -6*d(f) + 34*n(f). Let z(p) = 12*p**2. Calculate z(i(k)).\nAnswer: 432*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 > 548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7 + 13*u + 15*u - 6*u + 4. Does 22 divide m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107616806335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5806.894 days in seconds?\nAnswer: 501715641.6","meta":{"dup_signals":{},"source":"measurement__conversion_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: List the prime factors of 195511044.\nAnswer: 2, 3, 263, 61949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 29*o**4\/12 - 5296*o. Let y(s) = -4*s - 4. Let x(m) = -m**2 - m - 1. Let t(g) = -4*x(g) + y(g). Determine v(t(z)).\nAnswer: 464*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -12?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 4, i: 5, s: 5, j: 1}. What is prob of picking 1 j and 2 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2952 - 0.29521531. What is s rounded to 7 dps?\nAnswer: -0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738385 divided by -18.\nAnswer: -738385\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.7, -5, 0.2, -0.6, 156, 0?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12522 + -12528.4845. What is q rounded to one dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -5, 2570, 1 in increasing order.\nAnswer: -5, 1, 2, 4, 2570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a microsecond in nanoseconds?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -41, -167, -419, -839, -1469?\n\"Answer: -7*d**3 + 7*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -444, -447, -450, -453, -456?\n\"Answer: -3*d - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/62 and -61\/4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 6*n - 3*m + 160, 8 = -2*m. Let t(z) = n + 4*z - z**3 + 37 - 85 - 2*z + 6*z**2. Determine t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 1 + (-3 - -2) + (-36)\/(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83.7 - -83. Let o = 0.9 - 1. Let w = o + 0. Which is the third smallest value? (a) w (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r + r)*(47 - 86 + 48 + (-1 + 0 + 0)*(4 + 0 - 2) - 4 + 4 - 1).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r - 8*r)*(1 - 1 + r**3) + (2 + 1 - 1)*(r + 2*r**2 - r)*(2 - 5*r**2 - 2).\nAnswer: -23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001101 (base 2) in base 5?\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 3 (c) 2\/1571 (d) -3 (e) -5 (f) -2 (g) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 1. Determine z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjeoeojeoejjoooj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*u - 3*o - 1830, 2*u + 5*o - 1241 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153905\/9 - -17101. What is the nearest to n in -0.2, 3, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.085, 8.19, 3?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -16*t**2 - 5\/8*t**4 + 0 + 3*t**3 + 1\/20*t**5 + 0*t. Factor m(i).\nAnswer: 3*(i - 3)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1779)\/930 - 3\/5. Let z = -998\/29295 - -4\/189. Let q = z - h. Do 0.4 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2356*a + 2357*a - 1583. What is the remainder when a is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 76, 114, 152, 190?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((336\/40)\/(-14))\/(4\/10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12763 - 140391\/11. What is the third biggest value in -1\/5, x, -0.3, -0.05, 2\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**24*p**(-14)*p**16*p**(3\/4)\/p assuming p is positive.\nAnswer: p**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1125 (base 14) to base 7\nAnswer: -11445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215401809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z**2 + 4*z + 1. Let c(s) = -37*s**2 - 13*s - 3. Let t(v) = 2*c(v) + 7*g(v). Suppose -6 = 16*p - 10*p. Determine t(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**4\/8 + 26307*s**3\/4 + 57645201*s**2\/2 - 461714211*s\/4 - 1153956615\/8 = 0.\nAnswer: -8771, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 752? (a) 5 (b) 2\/361 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.15208, 7 in decreasing order.\nAnswer: 7, -0.15208, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097304 take away 0.011218?\nAnswer: 0.086086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2140, -4564, -6988, -9412, -11836, -14260?\n\"Answer: -2424*t + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(64) - -1*sqrt(64)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 + 7*q + 11. What is o(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (-1 + sqrt(1008) - sqrt(1008))**2 + 5 + (sqrt(7623) - ((3*(sqrt(7623)*3 + sqrt(7623)))**2 - sqrt(7623))).\nAnswer: -1097706 + 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147957, 295924, 443891, 591858?\nAnswer: 739825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2276423034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - n + 9*n**2 + 3*n - 6*n - 4*n - 2*n**2.\nAnswer: 7*n**2 - 8*n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -9*b**2 - 2567. Let g(l) = -13*l. Let f(c) = -12*c. Let z(y) = 6*f(y) - 5*g(y). Give z(a(w)).\nAnswer: 126*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = -2005*p - 474*p - 5135 - 19302 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 315 + 748 + 509)*(0 + 4 - 2)*(-6 + t + 6).\nAnswer: 1872*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*4\/(-4)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 - 176. Suppose g*f + 5*p = 0, 4*f - 3*p - 6 - 29 = 0. What is the greatest common divisor of 145 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 divided by 1?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30356 - -30362. Let a(y) = 53*y**2 - 1. Calculate the remainder when a(1) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*b = 9, 3*j - 11*b + 10*b = 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 94*l**2 + 2321*l - 14966. What is f(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d + 140*d + 8*d in the form n + x*d and give x.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t + 1020 = 47*t. Let r be (-3)\/(-4)*(-68)\/t. Which is the closest to 6\/19? (a) r (b) -1\/6 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/176048 and 3\/121033?\nAnswer: 1936528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 12:37 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ooyomymommmjjh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 703 + 27*l + 720 - 1461 as g + d*l and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 333*x**3 - 21837*x**2 + 328831*x.\nAnswer: x*(x - 29)**2*(x + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s. Let f(i) = -10*i + 39767. Determine f(o(j)).\nAnswer: -200*j + 39767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*h - 27 - 8, 0 = 3*h + 5*d - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y + 42 = 0. Let g be 4\/(-2)*y\/(-14). Suppose 0 = g*s + d - 61, -2*s + 0*d + 4*d + 22 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 21*c**4\/8 + 2013*c**3\/8 + 1665*c**2\/8 - 4269*c\/8 + 285\/4 = 0.\nAnswer: -95, -2, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, 1, 5.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65 - 32 - 23 - t**4 - 45 + 6*t**4 wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 3540475*y**2 - 626764093115*y - 5640590063205.\nAnswer: -5*(y + 9)*(y + 354043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77635?\nAnswer: 5, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 755760403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 115, 1\/24, 0.4?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3\/2 - z**2\/2 - 2*z - 3. Let r(y) be the first derivative of t(y). Differentiate r(d) with respect to d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -21, -59, -133, -255?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1889401, -1889399, -1889397, -1889395, -1889393?\nAnswer: -1889391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110101001101011001010 - -1?\nAnswer: -1101110101001101011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5720 divided by -20.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*9*(-4)\/(-18). Let m be w*4\/(-7)*(-7)\/(-28). Let f be -2*((-2)\/10)\/1. Which is the third biggest value? (a) m (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 112699, 225404, 338135, 450904, 563723, 676604?\n\"Answer: 2*i**3 + i**2 + 112688*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.4 - -9.451. Let a = p - -0.049. What is the second biggest value in 2, a, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684184559 to the power of 1\/2, to the nearest integer?\nAnswer: 26157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 + 2*i + 1. Let g(a) = 9*a**3 - 3*a**2 + 5*a. Determine g(j) - 3*m(j).\nAnswer: 6*j**3 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - 4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 4*h)*(0*h**2 - 2*h**2 + 3*h**2) + (0*h - 2*h**2 + 0*h)*(-1 + 7 - 5)*(-6*h + 0*h + 4*h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 19*n**4\/24 + 9*n**2\/2 + 12*n. Let h(r) be the first derivative of j(r). What is h(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 12*b**2 - 2*b + 14. Let m be t(6). Let k = 0 - -8. Solve -3*n - 5*r = 2 - k, -m*n + r + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 - 78 = -o, 5*o = 5*c + 160. Is 1 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(7)*4 + 3 + (sqrt(63)\/(sqrt(27)\/sqrt(3)) - -2*sqrt(448))))**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607752.5 grams in tonnes?\nAnswer: 0.6077525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -25*c + 108. List the prime factors of y(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.9 - -13. What is the closest to 1 in -2\/13, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*1\/1)\/(((-252516)\/(-24869))\/(2\/(-13)))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/15)\/(14\/(-16) - -1). Let g be -5 + 84\/z - 15\/(-84). Put -32, g, 4 in descending order.\nAnswer: 4, g, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:54 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {w: 5, i: 2, c: 1, t: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y - 325. Suppose -g + 17*g - 224 = 0. Let o be g\/2 - (9 + -15). What is the greatest common divisor of o and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1138221 * -94\nAnswer: -106992774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvllvl. What is prob of picking 1 l and 2 v?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -43. Which is greater: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 3.\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 184800*u - 3695200.\nAnswer: -2*(u + 20)*(u + 92380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 r when four letters picked without replacement from {r: 1, e: 1, q: 5, m: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19751327473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -711?\nAnswer: 59\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -37576\/29915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 7?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 65.05. Let n = 16 - s. Round n to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1012120002 (base 4) to base 10\nAnswer: 288258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 8 + 13\/3*b**3 + 0*b + 23\/4*b**4 + 0*b**2. Find the third derivative of d(p) wrt p.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 572 - 564. Let r(z) = z - 4. Let u be r(j). Solve -u*p + 8*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/480 + x**5\/40 + 3*x**4\/32 - 4*x**2. Suppose q(k) = 0. What is k?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**5\/120 - h**4\/48 - h**3\/6 - 3*h**2\/2 - 5. Let x(g) be the second derivative of p(g). Factor x(t).\nAnswer: (t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16199 != -16196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2435 and 123\/10?\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/6 + 109*y. Suppose 2*k + 185 = 7*k. Let o(q) = 38*q**2 - k*q + 37*q. Give o(r(m)).\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owwvucvouoowovowv. Give prob of picking 1 o, 1 u, and 1 v.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.147 (b) 39 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66056 is divided by 21796.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122.17682 * -0.4.\nAnswer: -48.870728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 + 3*w - 3. Let x be h(-4). Let s be -22 - -4 - 2*2. Let k = s - -24. Sort k, -4, x.\nAnswer: -4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.15 or -8986072?\nAnswer: -8986072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*q - 25, -1 = 2*q - 5*a - 26 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-16 - 13 + 18)*(2*q + q - 2*q) - 3*q - 3*q + 7*q)*(3 + 4 - 3)*(2 - 4 + 0)*(3 + 2 + 4).\nAnswer: 720*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00149673427 to seven decimal places.\nAnswer: -0.0014967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 216011179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-198))\/(5343\/3014)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -37*s**2 + 16*s + 510. Let k(p) = 14*p**2 - 6*p - 170. Let y(x) = -8*k(x) - 3*w(x). Let o(a) be the first derivative of a**3\/3 + 10. Give y(o(q)).\nAnswer: -q**4 - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48407*h + 9180*h - 8985*h + 16644*h.\nAnswer: 65246*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apapapa. What is prob of picking 3 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 6) to base 3.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 221?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (-12 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**2*z**2 + s**2*z + 130*s**2 - 943*s*z**2 + z + 2 wrt z.\nAnswer: 8*s**2 - 1886*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x. Let t(c) = -58*c - 16. Let p(a) = -116*a - 39. Let v(i) = 2*p(i) - 5*t(i). What is v(b(r))?\nAnswer: 290*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6319, 4, -9, 0.5 in increasing order.\nAnswer: -6319, -9, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24101869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from azd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-9 - (-46 + 98))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 22*g + 46. List the prime factors of k(18).\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 1, o: 3, b: 2}. Give prob of picking 1 o, 1 b, and 1 m.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4040, 4067, 4094, 4121?\nAnswer: 4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4020 + -4020.007868. What is c rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjyjsjjjkjyjnjyjju. Give prob of picking 1 k and 1 u.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 2:41 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -332671\/4 + 84159. Let j be (10 - 13) + (-984 - -1). Let o = j + p. What is the common denominator of o and 47\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8281332 is divided by 3281?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 - 95*z - 210 = 0 for z.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 479759311 to the power of 1\/2, to the nearest integer?\nAnswer: 21903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 11*i**2 + 6*i + 52. Calculate the remainder when y(-12) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-96)*8*(-2)\/(-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127171 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 4*o**2 + 3*o - 6. Let t be m(4). Suppose -d - 265 = -t*d. Calculate the remainder when d is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27395433641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18674090 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630853.1 months in centuries?\nAnswer: 1359.04425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.2, 96, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + 99\/(-15))*(-50)\/(-16). Let h(c) be the first derivative of c + 0*c**2 + 0*c**3 + 2 + p*c**4. Differentiate h(w) wrt w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (8 + -28) - (-26)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62114528, 62114524, 62114520?\nAnswer: 62114516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -4)\/(3\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42 + 12 + 24*v + 3*v**2 + v**2 - 18.\nAnswer: 4*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, 0.5, 1, -341, 2, -0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1 - -2*(-4)\/16)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 4*m**2 + 3*m. Let b be j(4). Find the third derivative of -k**2 + b*k - 15*k**2 + 12*k**5 - 12*k wrt k.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 28*r + 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39210 is divided by 1395.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 90 = -3*u. Suppose 4*d = 5*j + 13 - 48, u*d + 2*j = -85. Let p(r) = -r - 11. Let a be p(d). Solve 0 = 3*z - 11 - a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -48*r**2 + 3*r + 2. Let w be c(-2). Let q = 394 + w. Suppose 2*t - 34 = 2. What is the highest common factor of q and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-2))\/(-3)*(-2 + 7)*(-5094)\/4245?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.06 + 1.11. Which is the second biggest value? (a) r (b) -1\/8 (c) 0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0)**(1\/10))**(-39)\/((h**(-1))**28)**(-2\/89) assuming h is positive.\nAnswer: h**(-4031\/890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355226669?\nAnswer: 7, 59, 860113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42856 is divided by 21425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17031449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11051603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 554495783 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwbb when four letters picked without replacement from {d: 1, w: 1, b: 6, l: 1, i: 3}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -5*m + 416, -8 = -2*l. Let c = -59 + m. Let y = -11 + c. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3916284 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-24))\/(2\/(-65)*(-20)\/(-16))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567*i = 559*i + 88. Solve i*t = -4 - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**6\/180 + s**5\/45 - 5*s**4\/36 - 2*s**3\/3 - 2*s**2 - 33*s. Factor p(g).\nAnswer: 2*(g - 2)*(g + 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 607\/35 - 86\/5. Which is the third smallest value? (a) -9 (b) 0 (c) -1\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43\/9 - 271\/63. Let m = -28\/39 - 116\/273. Let o = t + m. Do o and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1069 and -225.\nAnswer: 24.0525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -11. Suppose -80 = 2*d - 10*d. Calculate the highest common divisor of d and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9346993*k*y + 18631358*k - y**2 wrt y.\nAnswer: 9346993*k - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 13) to base 16.\nAnswer: fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r - 25. Let b(x) = -4*x - 25. What is -2*b(s) + 3*t(s)?\nAnswer: 3*s**2 - s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1258 + 3*d**2 + 632 - 6*d**3 + 624 as u*d**2 + f + r*d + t*d**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.20764 decades in years?\nAnswer: 122.0764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83243052 a multiple of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2791 or 8377\/3?\nAnswer: 8377\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 19*w + 40. Let m be b(18). Suppose 9*v - m*v = -1053. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413771848 divided by 949018.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12577560 greater than -12577580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 804998921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 6 = 2*m, 2*j + 4 + 11 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/617117 or 0?\nAnswer: 9\/617117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 3. Let t(h) = 1118*h**2 + 344*h + 258. Let d(l) = -86*j(l) + t(l). What is the second derivative of d(i) wrt i?\nAnswer: 2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.92 - -0.08. Let r = 5.6 - h. Let o = -2.4 - r. Which is the biggest value? (a) 3 (b) -2\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010 divided by -5?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/((-2)\/4). Let t be 3\/((-18)\/4)*j. Suppose w - t*w = -2900. Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:10 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*15\/(-5)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 65. Solve k = -g - 0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 215*n**2 + 5*n - 4. Let l(f) = -428*f**2 - 11*f + 9. What is 4*l(o) + 9*m(o)?\nAnswer: 223*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388 + 4 + 2*j**3 - 3*j**3.\nAnswer: -j**3 + 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 23*m**2 + 12*m + 4. Let k be u(12). Which is the nearest to 0? (a) 0.2 (b) k (c) -3\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 78.1. Let s = 4 + z. Let x = 0.38 - -0.02. Sort s, -3, x.\nAnswer: -3, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*u + 73 - 9, 2*u - n = 23. Let d = 681 - 3342\/5. Let y = u - d. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277646233.\nAnswer: 107, 283, 42193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:50 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13420 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -925 (b) -1\/9 (c) -0.4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/13182*39 + (-12 - (-19318)\/1859).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0. Let c = -60 - -60. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1*-6*6\/(-252). Which is the closest to 0.1? (a) 0.4 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12625285 to the nearest integer?\nAnswer: 3553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60425 and 95?\nAnswer: 1148075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91944, 367632, 827066, 1470246?\nAnswer: 2297172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0215331 rounded to 5 dps?\nAnswer: 0.02153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 0)*1\/(-2 - -5). Suppose 0 = 2*s + p*s - 16. Calculate the smallest common multiple of 10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -587343.60000039 - -587343.23. Let t = q - -0.37. What is t rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j + 38. Let k be h(20). Let x = k - -246. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -2\/55, 5, -2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = l + k - 16, 0 = k + 5. Suppose -2*f + 24 = -34*p + 36*p, -2*f - l*p + 27 = 0. Which is the third smallest value? (a) f (b) -1 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/10*-188)\/(10\/25) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1580 - 1614. Let z(w) = 6*w - 4. Let v be z(-3). Let l = v - i. Solve 0*o + 2*o = g - 6, l = 5*g - o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 269 - 180 = -q, 37*q - 16*q = 18*q + 5*u + 447 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - 274*f + 7*f**4 - 2*f**2 + 276*f - 6*f**4 to the form z*f**2 + w*f**4 + a*f**3 + n + i*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 37. Suppose -3 = 3*q + 4*j - 0*j, -3 = 3*q - a*j. Let l be 2*(q + 4)\/(-6). Let g(u) = 6*u**2 + u. What is g(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18239 + -9565. List the prime factors of r.\nAnswer: 2, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013174 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66388 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -1\/24, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -99. Let u be 1\/3*(-9)\/k. Let r(l) = 1848*l**3 - 3*l**2 + 3*l - 1. Is r(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9. Let j be (-32)\/6*3*h\/2. Suppose j - 12 = -2*w. Solve -6 = -w*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5)*1) + -4 + -4)**2 + (sqrt(567) + (sqrt(567) + 1)**2)*3 + sqrt(567) + -4*(sqrt(567)*2)**2.\nAnswer: -7297 + 74*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4696808, -9393612, -14090416?\nAnswer: -18787220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -568.5 + 257. Let y = 311 + o. Which is the closest to -2\/3? (a) -8 (b) -0.2 (c) y (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2657 - 2615. Solve -p*r = -40*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -120, -241, -362, -483, -604?\n\"Answer: -121*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-3))\/1*20\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.128 + -1.888. Let r = -1.76 - w. Which is smaller: r or 7\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129 + 315. Suppose -c*s = -182*s + 4. Sort 2, -35, s in descending order.\nAnswer: 2, s, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 5*j + 9. Let a be 4 + 0 - (4 + 5). Let g be 39 - a\/(-10)*6. Let d = 29 - g. Let f(i) = -2*i**2 + 2*i + 4. Determine d*f(z) + 3*b(z).\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqsqqbpqqpbqbqqqqe. Give prob of sequence pps.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 864*u - 367*u - 10437 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-832))\/(6\/48).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/35 and (-39)\/(-15)*((-74)\/(-19) - 4).\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 1. Let r = -114.2 - -114. What is the closest to u in r, 4, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68900.17 micrometers to millimeters.\nAnswer: 68.90017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2349 and 198?\nAnswer: 51678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h**2 - 335*h - 272. Let t be i(-55). Solve -3*p = -2*x - t, -5*p - 10*x = -13*x - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -99. Solve -5*l + i*l = 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1762544 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2219 - 1103 - 1114 - 4*w**3 - 30*w to g*w**3 + c*w**2 + k*w + q and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 2*l**3 + 24*l**2 - 8*l - 32.\nAnswer: -2*(l - 2)**2*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 69 times 0.109\nAnswer: 7.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 76 = 193. What is the greatest common divisor of t and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s + 71*s = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 12*l + 12*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8625, 17242, 25859, 34476, 43093, 51710?\nAnswer: 60327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93608 is divided by 608.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731036?\nAnswer: 2, 179, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 9. Let d(o) = o - 4. Let w be ((-30)\/(-25))\/((-9)\/30). Let a be (1 - 2)\/(w\/16). Calculate a*l(i) + 9*d(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/913368 and 89\/342?\nAnswer: 2740104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 - -0.25. Let m = -10.1 - -2.1. Let q = m + 5. Which is the third biggest value? (a) 0.3 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 11.48. Let l = 0.5 + o. Let d = 0.32 + l. Sort 0.2, d, -2 in decreasing order.\nAnswer: d, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 14*x**2 - 4*x + 13. Let f(o) = -o + 5. Let y be f(5). Suppose g + 1 = y, -j - 2*j + 2*g = 28. Is u(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364814983 to the power of 1\/2, to the nearest integer?\nAnswer: 36943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51116, 101316, 151516?\nAnswer: 201716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -61. Suppose j = 4*k + z, -k + 67 = j + 2*j. Solve 3*y + j = 5*a, 4*a + 3*y - y = 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 2 + (-18 - -19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Suppose -3*o - 74 = -5*t - 0*o, 67 = j*t - 5*o. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 - 1. Let c(n) be the second derivative of n**4\/12 - 11*n**3\/6 + 9*n**2\/2 + 37*n. Let h be c(10). Give d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6652 = -4*c - 6666, 3*i = -5*c + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 884929\/167 + -5299. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280346 - 281494 = -28*f for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15711 + 63341 - 21652 = -768*r - 36296 for r.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:14 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4*v + 16 = -2*d, 5*v = 5*d - 15. Suppose -6 = -d*m - 26. Is m != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9378)\/7815*(-1)\/(3\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**9\/56 + j**5\/10 - 2*j**2 + 1. Let v(y) be the second derivative of k(y). Find the third derivative of v(n) wrt n.\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9118 and 797652.5?\nAnswer: 797653.4118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2237270.54 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21486215295.6+-2\nAnswer: 21486215293.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4322549 divided by -56137\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 = y, 2*o + 24 = -5*y - 11. Let x be -5 + (y\/2 - -7). Is x <= 13.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2473, 2476, 2479, 2482, 2485, 2488?\n\"Answer: 3*m + 2470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 58*z - 49*z = -4046. Calculate the remainder when (-1610)\/(-8) + 2\/(-8) is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 6. Let s(x) = x - 5. Let j be s(2). Let y be l(j). Differentiate y*w + 1 - 4 - 7 + 5*w wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from zzdzzdzddz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/56 - w**6\/360 + 5*w**3\/6 + 13*w**2. Let y(n) be the first derivative of q(n). Find the third derivative of y(d) wrt d.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 4*l - 13, -5*l + 2*l = 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114003321.\nAnswer: 3, 29, 1310383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16001, 32094, 48195, 64310, 80445, 96606, 112799?\nAnswer: 129030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/5 (b) -1\/6 (c) 2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 39726080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 7. Let m be l(-6). Let o = m - -7. What is b in -3 - b - b**3 - o*b**2 - 11*b - 5 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 + (-8)\/(-28)*7 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/2 and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -8*q + 2, 0 = 5*q - 2*o - 38 - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430507.\nAnswer: 3, 17, 47657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4190?\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 34560 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8331 + 8335. Let v = 7 + -7.3. What is the closest to v in t, -2\/7, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -583, -584, -585, -586?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(180)*-2)**2 + -5 + (sqrt(180) - (sqrt(180) - (3 + (1*sqrt(180) + sqrt(180))**2 - sqrt(180))) - sqrt(180)) + -5)*-2.\nAnswer: -5732 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**8\/560 + a**6\/60 - a**4\/8 - a**3\/3 - 2*a**2. Let t(r) be the first derivative of v(r). Find c such that t(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*c - 675 = -452 + 1595 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -344 + 346 + 37*q - 6*q + (q + 2*q - 2*q)*(1 - 3 - 1).\nAnswer: 28*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14358 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1427 by -1.\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10100100100100010011 (base 2) to base 3\nAnswer: 1021020122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.58 - -10.1. Let g = s - -0.48. Which is the second biggest value? (a) 2 (b) g (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 36082712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 + -1 - (0 + -4)) + -112 + 106.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**13)))\/(r*r**7))**(4\/5)*((r*r**0)\/r*r)**(-2\/49)\/((r*r**0)\/r*r*r*r\/(r**(-5\/3)*r*r)) assuming r is positive.\nAnswer: r**(-2750\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4848 and -26\/30603.\nAnswer: 489648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uymv when four letters picked without replacement from oomyoyvymmomvumyomy?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 15 + 4 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 692873466 and 16.\nAnswer: 5542987728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1 - 1 + 2 - 3*b - 2. Suppose -4*m + 9 = -v, -m + 5*m + 2*v - 6 = 0. Let h be 1 - ((-42)\/(-3))\/m. Let t(i) = -16*i - 11. Give h*t(a) + 33*u(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2758 = -199*u - 2217 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223 - 132. Suppose l - 52 = x. Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59659 + 159?\nAnswer: -59500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.5 + -31. Let z = -63 - -20. Which is the second biggest value? (a) z (b) o (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.20442 times -2.5?\nAnswer: 45.51105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -1, 6, 5, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6800738.\nAnswer: 2, 7, 151, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 5*g = 61 + 29 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -45\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 0.3, 5 in descending order.\nAnswer: 5, 0.3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a millennium in centuries?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -201136 (base 7) to base 15\nAnswer: -a13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2047*j - 6. Let v be (1*(2 + 0))\/((-4)\/2). Is x(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 76. Suppose 4*g - i*t = -0*t - 8, 0 = -4*g - 3*t + 6. Solve g = x - 2 + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let x = -10\/9 + 31\/36. What is the closest to m in x, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -78 + -2 + 1 + 0 - -7. What is the second smallest value in 0.1, z, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:51 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**3 + 2*j**3 - j**2 - j**3 + 2. What is the second derivative of y(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 11*z**2 - 12*z**2 - z - z. Let t(s) = -2*s**2 - 3*s. What is 3*f(n) - 2*t(n)?\nAnswer: n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 3*n + 44. What is the third derivative of 11*x**5 + 225*x - 225*x - n*x**2 wrt x?\nAnswer: 660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 2*c**2 - 4*c - 1. Let v be w(-3). Let q be -1*3\/6*-6. Let f be 2*(1 - q\/v). Sort 3, 5, f.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) -4 (c) 10 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 113.\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let w(a) = -1161*a. Give w(l(m)).\nAnswer: 2322*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j**2 - 30*j - 18. Let i be a(3). Solve i = -4*k - 26 + 38 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - r + 3 - 4 + 2*r**3 to o + s*r + p*r**3 + v*r**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 15269197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 4, -5, 6, -4, -12.\nAnswer: -12, -5, -4, 0.11, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h - 18 + 44 - 7*h. Let z be d(-17). Let i = z - 147. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -2000\/29 (b) -0.5 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z + 1323 = -4*z - 51*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41183497*d - 36652038.\nAnswer: 41183497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 16*j = 0. Let w(t) = 2*t**2 + t + 2. Let u be w(j). Suppose 4*h - 3*f = u*h + 777, 787 = 2*h - 5*f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 6*p - 4. Let f(x) = 5*x**2 + 18*x - 11. Let t(q) = 3*f(q) - 8*s(q). Suppose -10*o = 23 - 73. What is t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**2\/9 + 588106*q\/9 + 86467166809\/9 = 0.\nAnswer: -294053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q + 669 = 200 + 300 - 2587 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 14. Let a = -52 - -148. Suppose -a = -4*i + 2*t, 0 = 5*i - t + v*t - 98. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1458) + 0 + sqrt(1458) + -4)*5 + (-1*sqrt(1800) - sqrt(72)*3))**2.\nAnswer: -8880*sqrt(2) + 98971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 7:49 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(1 - 7 + 4) - 2 + 7 - 3)*(10 - 10 - 13)*(-2 + 2 + 4)*(-6*a + 2*a + a).\nAnswer: 936*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17620*r + 26. Let c(x) = 3533*x - 5. Determine 16*c(q) + 3*v(q).\nAnswer: 3668*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12293 and 135223.\nAnswer: 135223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1300 - 1300 + 152*b + 3*b + 0*b - 2*b + (-2*b - 34 + 34)*(0 - 1 - 1).\nAnswer: 157*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*(-3 - 3 + 5)*(-5*v + 2*v + 5*v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*r - 378, 0*r + 176 = 2*r + 5*q. What is r rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - 4 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 + 24*v**4 + 63*v**3 + 66*v**2 + 24*v.\nAnswer: 3*v*(v + 1)**2*(v + 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 66\/17 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-50))\/(1\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 89?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 + 17?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 30 - 14 - 12 + 4536*p - 18.\nAnswer: 4536*p - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 1, q: 1, s: 2, k: 1, t: 2}. What is prob of picking 2 s and 1 g?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a + 4 + 1 - 5 + 100*a - 36*a - 14*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 564 + -104624182\nAnswer: -104623618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 584057 and -8.8179.\nAnswer: 584048.1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 14*s**2 + 11*s + 8. What is x(13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487337.\nAnswer: 311, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -50. Let v(u) = -u**2 - 9*u + 5. Let x be v(i). Let t = -2.3 + 0.3. Which is the biggest value? (a) x (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-168))\/((-573)\/(-2674)))\/(5\/(-1))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852 by -2.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -356\/4931 or -1?\nAnswer: -356\/4931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4494950 and 113\/26969700?\nAnswer: 26969700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2*w**2 + 27. Let z(c) = 3*c**2. Calculate z(g(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -726, -989, -1186, -1317?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213478 is divided by 299.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3643 + -3643.1. Sort 0.169, -0.2, 5, m in increasing order.\nAnswer: -0.2, m, 0.169, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/841148 and 145\/688212.\nAnswer: 7570332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -302.2 - -302.19468. Round i to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-4) - (251615\/20)\/(-13). Let t = o - 667. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + 64\/28. Let d be (28\/(-21))\/((-4)\/6). Calculate the greatest common factor of s and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:11 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 3, b: 6, u: 1, w: 7}. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.58 and 60480218345.\nAnswer: 60480218346.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.11 and 28111.\nAnswer: 28110.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/5 + (-4)\/(-10). Solve -f*k = -6*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8 = -4*q, 4*q + 4 = -4*d + q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.49 + 14.49. Let g = -8 + 7.9. What is the closest to 1 in 1, n, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 53. Let y be (4 - -4 - c)\/2. Let i = -12 + 7. Sort -3, i, y in descending order.\nAnswer: y, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 109\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -1\/120*l**5 + 1\/8*l**4 + 5\/3*l**3 + 5 + 0*l + 0*l**2. Let s(g) be the third derivative of y(g). Determine s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29682)\/776*8\/(-6)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17662*z = -17784*z - 3904 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 58, 88, 136, 208, 310?\n\"Answer: x**3 + 11*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1958 and 1324.\nAnswer: 1296196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1475, -2682, -3617, -4280, -4671?\n\"Answer: 136*k**2 - 1615*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*l + 7 + 8, l + 1 = -3*j. Let g(i) = 2*i - 7*i - j + 1 - i**2 - 1. Let o(s) = -s - 1. Calculate -g(c) + 3*o(c).\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46426*d**3 + 32909*d**3 + 4964*d**3 - 7402*d**3.\nAnswer: 76897*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*(-10)\/90*12. Sort -3\/2, -37, c.\nAnswer: -37, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20244213 (base 5) to base 2\nAnswer: -101000011010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s + 22. Let j(i) = 33*i - 65*i + 11 + 36*i. Let f(c) = -3*d(c) + 7*j(c). Find the first derivative of f(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/25 and 61\/45685.\nAnswer: 228425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -721860 - 86?\nAnswer: -721946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.7 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.53016 - -0.57. Let x = 0.04 - p. Round x to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = 2*r + 3*o, -2*r = 5*o + 31. Suppose -f + 4*w + 54 = -0*f, -4*f + 3*w = -177. Let h = r + f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4214 + -3010. What is the greatest common factor of 42 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19790 and 1666318.\nAnswer: 3958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132915485?\nAnswer: 5, 151, 176047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:15 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255740\/304 - ((-3)\/4 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 0.1, -3, -45\/49, -4\/5, 5, 258?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84740.058 minutes in days?\nAnswer: 58.8472625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153795927.\nAnswer: 3, 51265309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < -847211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 11 - 11 - -14) + 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6 + 2\/4. Let o be (g - -2)*-2 - -8. Differentiate -2*t**3 + o*t**3 - 4 - 5*t**3 + 7 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/720*9)\/((-83)\/(-9130))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80964.\nAnswer: 2, 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 1 + 69. Suppose -r + 3 = -4*j, 0 = 3*t + 2*j - 5. Let z be t\/(((-10)\/15)\/(-2)). Solve -h = -z*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2 + 4 + k**3 + 6*k**2 - 9 - 6*k. Let s be y(-7). Let m = s - -17. What is the third smallest value in 0.4, -2\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -617 - -616. Which is the nearest to 0.06? (a) -2\/3 (b) 1\/8 (c) g (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365532800 rounded to the nearest 100000?\nAnswer: -365500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - j - 4*j**2 + 0*j + 4*j**3 + 0*j to the form t*j + i*j**3 + o + m*j**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9*1)\/((-60)\/1720). Suppose -z = -3*a - 228. Solve -2*v + 3*n - 16 = -2, 3*v + a = -n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10233 (b) 2\/9 (c) -0.5 (d) -68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 41406450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922954.\nAnswer: 2, 3, 269, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123144133 (base 5) in base 3?\nAnswer: 1010110221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 8537909\nAnswer: 2\/8537909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 124*u - 122*u. Let t be (u\/3 - -2) + (-26)\/(-3). What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3954 + 0.3954599. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00252 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmrwrmhwmmch. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 24*c**2 + 15*c + 44. Suppose -10*b + 14*b = -60. Is x(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2\/13*j**3 + 8\/13*j**2 + 64\/13 + 56\/13*j = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267500?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 54*a + 28.\nAnswer: -2*(a - 14)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2564*o + 306 = 2581*o. Suppose 3*m + 4*j + 5 = 4*m, 4*j - 5 = -m. Suppose 2*g = m*g - 78. Calculate the least common multiple of o and g.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*30\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 11*a - 5. Let i be x(4). Factor 0 - 6*q**2 - q**3 - i + 1 - 2 - 12*q.\nAnswer: -(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x = 59*x + 5180. List the prime factors of x.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221\/3 - 73. Let p = 248667\/43 + -5783. Let o = -444 + 10210\/23. Sort j, o, p, -0.3 in increasing order.\nAnswer: -0.3, o, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (10 - -13)) + (-81 - -59)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w*w)**(-6\/13)\/(w**(2\/3))**(1\/4))**31 assuming w is positive.\nAnswer: w**(-2263\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 226, -4, 4, 0 in descending order.\nAnswer: 226, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 5. Let o be v(4). Let t be (-3)\/(o\/3 - 0). Let y be 0\/(-2)*2\/4. Sort t, -4, y in decreasing order.\nAnswer: y, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1130.9 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 18 - 105*v + 6*v in the form d*v + y and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3647043824 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 18.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 0*y**3 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 18*j + 9. Let a(z) = 3*z**2 - z - 3. Let i be a(2). Let r be x(i). Let o = -28 + r. Solve 2*c - 16 = -o*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1048 or 807?\nAnswer: 1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 713958 divided by 21.\nAnswer: 33998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - f. Let p be u(1). Suppose -b - p*b = 0. Let l be -1 - (-3 - -1) - b. Solve a - 2*a - l = -3*s, -4*s = -a - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112*l**2*u**2 - 6*l**2*u - 600*u**2 wrt l?\nAnswer: -224*l*u**2 - 12*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -41*v + 1. Let t be -2 - (1 + -7 - -1). Suppose 2*p + 35 = -t*p. List the prime factors of h(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6961\/712 - 31\/89. What is the common denominator of s and -45\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 - (16 - 8 - 16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3769, -3770, -3773, -3778, -3785, -3794?\nAnswer: -3805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 55*x + 55*x - 2*x**2 - 10*x**2 + 111 as j + f*x + a*x**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33040612*c**4 - 10512831 wrt c?\nAnswer: -132162448*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m - 1. Let q(r) = -1 - 24*r - 28*r + 39*r. Let l be q(m). Solve 0*i = -3*i + 3*d + 3, 0 = 4*i - 2*d - l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h - 20*h - 26*h - 53*h + 118*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1479556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiiw when four letters picked without replacement from {w: 7, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.23 (b) -0.5 (c) -2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70066 = 18*p + 69796 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h. Let u(f) = f**2 - f - 1. Let r(t) = -5*t**2 + 7*t + 7. Let a(z) = -2*r(z) - 14*u(z). Determine a(x(y)).\nAnswer: -256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and 35858103641.\nAnswer: 35858103652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 15 = -2*z + 9*a, 4*z - 15 = 5*a. Let d(c) be the first derivative of 2*c - 9\/4*c**4 + 0*c**3 + 10 + z*c**2. Differentiate d(y) with respect to y.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*4*(-18)\/432?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2420004414 + -10?\nAnswer: 2420004404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988\/91 - (-3)\/21 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/5 + 38*g**3 + 502*g**2\/5 - 4558*g\/5 + 3864\/5 = 0.\nAnswer: -92, -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-4)\/(-24)*-3))\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 3167497.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26995, -54027, -81183, -108463?\n\"Answer: -62*k**2 - 26846*k - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -70. Suppose 8*y - 3*y + c = 0. Let w = y + 32. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {f: 1, o: 2, a: 4, k: 2, r: 2, p: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19611 is divided by 9786.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -4*o**2 + 0 - 1\/20*o**5 + 55*o + 4\/3*o**3 + 1\/2*o**4. Give y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (39 - (-5 - 5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 o when four letters picked without replacement from oooonnoo?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 58\/3. Suppose 0 = -5*c - 20, 2*c + 2*c = 2*v - 24. Let y be (-1 - -1)\/(v\/(-2)). Is y less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6970*a + 425788 = -120695 + 79493 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10158 or -156.8?\nAnswer: -156.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/30 - 5*i**4 + 152*i + 6. Factor k(x).\nAnswer: 2*x**2*(x - 90)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 16*g**2 - 3*g + 12. Let y be r(-8). Find the second derivative of y*v + 2*v - 214*v**3 - 235 + 69*v**3 + 234 wrt v.\nAnswer: -870*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611 + 637 = 8*s. What is the least common multiple of s and 22?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u = -119 - 151. Which is the nearest to 2\/5? (a) 1 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1884 or 62?\nAnswer: 1884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(8*2\/(-12)). Let g be (1\/(-3))\/((-2)\/18). Suppose 0 = -n - g*d + 2 + 4, -4*n - 15 = -d. Sort n, x, 9.\nAnswer: n, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -51\/8 (c) -4\/27 (d) -2 (e) 118 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1 - 2)*-1. Suppose w + 3 - 9 = t. Solve 0*c = 2*c + w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13664 + -10726. Is g > 2938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j**4 - j**2 + j**2 + (-j + 0 + 0)*(j**3 - 1 + 1) - 5*j**4 - 25*j + 25*j.\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226272 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 293679383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 13*x**8\/56 - 119*x**5\/20 - 125*x**2 + 1. Find the third derivative of k(q) wrt q.\nAnswer: 4680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 282, 499, 716, 933?\n\"Answer: 217*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222001122 + -11?\nAnswer: 10222001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(432) + sqrt(48)) - ((sqrt(54)\/(-1*sqrt(2)))\/sqrt(9))**2.\nAnswer: -3 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvhs. What is prob of sequence vhs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + -8 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l)*(-2*l**4 - 2*l**4 + 5*l**4) + (-1 + 5*l + 1)*(3*l + 0*l - l)*(4*l**3 - l**3 - 2*l**3).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 2\/3 (c) -1076 (d) 1091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 0*q**2)*(-4*q + 3*q + 4*q)*(-3*q + 10*q - 2*q).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*k + 12 = 2*k, 0 = 4*d - 5*k + 3. Suppose -3*y = d*y - 240. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -7. Suppose -2*m = -0*m. Find the first derivative of 0*f**4 + 1 + m + 2*f**t wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -58*c**2 - 32*c + 124. Let j(a) = -35*a**2 - 17*a + 63. What is -5*j(n) + 3*r(n)?\nAnswer: n**2 - 11*n + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (0 - 0)) + -1 + -6 - (6 - -5)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9) - 319\/(-99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47386666177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 528 + -502. What is the remainder when 68 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/((z*z\/(z\/z**(-1\/2)))\/z))\/(z*z\/(z*z*z\/(z\/(z\/(z\/(z**(-3\/7)\/z))*z))))**(-1) assuming z is positive.\nAnswer: z**(-127\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.041? (a) 4 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/9 of a day?\nAnswer: 7360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*(-12)\/(-15). Suppose -3*h = -4*h + 4*l + 82, -l + 1 = 0. Let i = h - 83. Solve 0 = i*c + w*q - 16, 0*q + 5*q - 14 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-62806900)\/(-3305627) + -19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -8. Which is the nearest to 0? (a) 2 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:10 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 321 + 66. Let c be ((-36)\/(-20))\/((-14)\/1540*-11). What is the greatest common factor of r and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -2.2364121?\nAnswer: -2.7364121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c - 4 = 47*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10193*140\nAnswer: 1427020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - a - 5*a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6728*s = -6720*s - 56. Suppose 0 = 2*z + 3*y - 14, -4*z + 7*y + 6 = 2*y. Solve -4*i - z*i = -s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3443 + 37386\/11. Which is bigger: -44 or q?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 37. Suppose -2*w = 6, 6*u - 3*u = -w + 84. Are d and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -662 + 4*u - 657 + 1333. Let f(c) = -c**3 + 7*c**2 - 2*c + 1. Let r be f(6). Calculate the remainder when z(r) is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 87*h**3. Let m(z) = -29*z**3. Calculate -7*m(u) - 2*n(u).\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15351 < -15325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1915*l**2 - 1915*l**2 - 7*l + 4 - 509*l**4 wrt l.\nAnswer: -6108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 81*b + 516 = 0. Let i(w) = 2*w**2 + 1. Let y be i(-1). What is the greatest common divisor of b and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.4, -18\/7, 12.\nAnswer: -18\/7, -0.4, 3\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 7\/8 (c) 4 (d) 0.5 (e) -15\/58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1044036?\nAnswer: 1044041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.493 * -338401\nAnswer: -843633.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*l - 4*f, -3*l - 4*f = -f - 75. Suppose 18 - l = -i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/10 - 13893*m\/10 + 7234353\/5.\nAnswer: (m - 12759)*(m - 1134)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7640156 less than 836?\nAnswer: -7639320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13*b**2 + 5*b - 7. Let v be x(3). Calculate the greatest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 256573295 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/351 and -155\/102?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5, k = -5*l + 29 - 3. Let u be ((-2)\/10)\/(130\/25 - 5). Which is the nearest to k? (a) u (b) 0.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**6\/30 - u**4 + 2*u**3\/3 - 13*u. Let p(k) be the second derivative of j(k). What is the derivative of p(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 580*m**3 - 1172*m**2 - 588*m.\nAnswer: 4*m*(m - 147)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 15*q**4 + 935*q**3 - 2565*q**2 + 2265*q - 650 = 0.\nAnswer: -65, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*l = 16, 2*z + 4 = -2*l - 0*l. Let w(r) = 5*r**2 - r + 2. Let k be w(z). Let v = k + 19. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (1 - 4) - (-3 - 24) - 3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202210 (base 3) to base 10.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2202\/5, 1\/8, -0.2, 1.2871 in increasing order.\nAnswer: -0.2, 1\/8, 1.2871, 2202\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1105.91g to nanograms.\nAnswer: 1105910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -9*j**2 - 96*j + 1953 = 0?\nAnswer: -21, 31\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -66.1, -4\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 170.81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*g**2 - 27*g**2 - 3*g**4 - 2*g**4 wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 13 = 2*k + s, -3*k = -3*s - 15. Let n be 0\/k - 10\/45. Let g = 11 + -15. What is the second smallest value in n, g, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 622\/21 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - p + 37 = 2*x, p - 13 = -x. Let d = x - 10. Suppose d*t - 10 = 0, -s = 3*t - 0*t - 32. What is the remainder when 80 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56084021 - 0.749.\nAnswer: 56084020.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716*g + 711*g = -2*x + 60105, -5*x - 5*g + 150385 = 0. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}