{"text":"Question: Calculate the greatest common factor of 178 and 4096670.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1530601 divided by -8\nAnswer: 1530601\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 16854685 (base 9) to base 11\nAnswer: 4872406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46859.\nAnswer: 47, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - 25*h + 67. Let a(j) = 8*j - 21. What is -7*a(g) - 2*k(g)?\nAnswer: 2*g**2 - 6*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 138*(-8 + 3 + 1). Let h = d - -4952. Round h to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 10:33 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of 3*d**4\/8 + 2*d**3\/3 - d**2. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -84 + 92.1. Let s = n - 8.09999375. What is s rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-4) - 0)*2. Let k = -370\/7 + 53. Let p = -11 + 14. Which is the closest to i?  (a) p  (b) -1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -84*z**2 - 5 + 77*z**2 + z**3 - 1 + 8*z. Let p be b(6). Is (p\/(-27) - 1270\/(-18))*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5340 - -51?\nAnswer: 5391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -40, -106, -198, -316?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-624)\/(-60) - 8\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 67 - -1312034?\nAnswer: 1312112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 2*f**6\/15 - 4*f**2 + 14*f. Find the first derivative of a(z) wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(10)\/sqrt(5) + sqrt(2) - sqrt(2) - sqrt(10)\/sqrt(20).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of 25*o**8\/112 - 2*o**7\/3 + 13*o**5\/6 - 25*o**4\/8 + 5*o**3\/3 - 14*o**2. Suppose u(m) = 0. What is m?\nAnswer: -1, 1\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 222\/7  (b) -3  (c) -704  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-6\/17)*(l**16*l)\/l)\/(l\/((l\/l**13*l)\/l)*l**(-6)) assuming l is positive.\nAnswer: l**(164\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -4\/43, 3\/4 in increasing order.\nAnswer: -0.1, -4\/43, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*(1 + sqrt(80)) + -5)**2 - (2*sqrt(605) + sqrt(605) + -2 + sqrt(605))**2*-4*1.\nAnswer: -688*sqrt(5) + 38820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 14. Suppose -75 = 27*n - 32*n. Solve o*h + n = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.795 * 3064.\nAnswer: -2435.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2\/9))**(6\/23)*(v*v**7)**(1\/5))**(4\/15) assuming v is positive.\nAnswer: v**(2128\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 164181 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -3\/8  (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + 4*m**2 - 2. Determine p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 8:11 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -c83966 (base 15) in base 13?\nAnswer: -1c88805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*p**2 + 8146*p - 8146*p)*(-4*p + 10*p - 2*p) as z*p**2 + d + f*p + u*p**3 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3379 bigger than -3380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 258362624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -1, -1\/3, 9, 1, -0.003 in increasing order.\nAnswer: -1, -1\/3, -0.1, -0.003, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 3*a**4 - 543*a**3 + 20661*a**2 + 366951*a = 0.\nAnswer: -13, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/15 of a day in minutes?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12200 (base 4) in base 8?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36168\/29 or 1247?\nAnswer: 36168\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 4*a**4 + 8 + a**3 + a + a**4 - 4*a**4 to p*a + c*a**3 + b + d*a**4 + r*a**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(-60) + (-1)\/9*3. Sort s, 1.2, -3, -1\/3 in decreasing order.\nAnswer: 1.2, s, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2461591 to the power of 1\/2, to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 25, -3*v + 5*h - 19 = -0*v. Sort -2, 1, v in descending order.\nAnswer: v, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 + -20.8. Let o = 4.19885 - y. Round o to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 3*v - 30 = 51, 0 = t - 4*v - 25. Let i = t - 19. Suppose -4*q = -i*q + 2. Is q at least as big as 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 36 = 5*v - 2*f, -4*v = -f - 63. Calculate the greatest common factor of v and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 4, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8894674620.\nAnswer: 2, 3, 5, 13, 3801143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 6*m - 4. Let z be k(4). Suppose -4*s - h = z*h - 35, -3*h + 29 = 4*s. Let q = 0.7 + -0.9. What is the smallest value in q, s, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-5\/3)*b*b\/(b**(2\/27)*b)*(b\/b**(-4\/7))\/b*b**(-2\/7))**(4\/17) assuming b is positive.\nAnswer: b**(412\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-104)\/(-78))\/(6\/(-45))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.99 + -1.49. Let u be (-12)\/(-5)*(-3)\/9. Which is the second smallest value?  (a) -0.3  (b) 2  (c) v  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**4 + 4044*a**3.\nAnswer: 4*a**3*(a + 1011)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02184734239 to four decimal places.\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -136.49?\nAnswer: -136.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1111268 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (14\/4)\/7*(0 + 194).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1626*o**2 + 3670*o wrt o?\nAnswer: -3252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22989 - -51502. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 116*v**2 - 3059818*v - 791340.\nAnswer: 2*(v - 26378)*(58*v + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 412308 divided by 78.\nAnswer: 5286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -9. Let i = h + 1. Let a(x) = -3*x - 1. Let g be a(i). Solve -g*j - j = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -693\/2 - -349. Let v = 4 + -4.4. What is the nearest to -2\/7 in w, v, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttsgtttttgtttgtt. What is prob of sequence sg?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 406502.6m to micrometers.\nAnswer: 406502600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 56 + 19 = 0. What is the nearest to 2 in 1\/4, g, -3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/8 and 1837\/(-154) + 8\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1446, -1496, -1546?\nAnswer: -1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 4*g = 60*g + 120. What is the third smallest value in g, 4, 0.012?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 3 = -n. Let k(f) be the first derivative of f**4\/4 - f**2 + 2*f - 1. Let d be k(n). Solve -y = 2*y + d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6\/913 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26436.\nAnswer: 2, 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*g - 2*g - g)*(0*g + g**2 - 4*g - 2353 + 2265) to the form v*g + d + k*g**3 + h*g**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3225 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -363672569, -727345137, -1091017705?\nAnswer: -1454690273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 18, n: 2}. Give prob of sequence dnn.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 4, 3, 1, -2 in descending order.\nAnswer: 12, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {b: 1, q: 2, s: 3, d: 4, w: 1, n: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 97234049 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 961 + -961.0000447. Round z to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8 + (-265)\/20 + 8 + -3. Suppose 4*g - 4 = -0*g. Sort g, -21, -0.2, w in increasing order.\nAnswer: -21, w, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 12. Suppose -96 = -y*g + 147. Let c(w) = -w**2 + g*w + 2 - 81*w + w**3. Determine c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 9*m**2 - 2*m - 13. Let w be c(-9). Let n(s) = 3 + w*s + 4 - 2*s. Let b(l) = -3*l + 2*l + 2*l - 4 - 3*l. What is -5*b(k) - 3*n(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 934*m**2 - 628*m + 8. Is l(6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10864 = 649*o + 7957 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-16))**(2\/3) assuming b is positive.\nAnswer: b**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*c - 8 + 10 + 3*c)*(-1 - 5 - 1).\nAnswer: 70*c - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**2\/7 - 162*p\/7 + 459\/7 = 0 for p.\nAnswer: 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 8 = -19. Calculate the least common multiple of k and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -81 and 173.96629.\nAnswer: 92.96629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 99*h. Let k(g) = 2*g - 21. Let o(m) = -m + 9. Let s(p) = 3*k(p) + 7*o(p). What is s(t(v))?\nAnswer: -99*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(180) + -4 + sqrt(5))**2.\nAnswer: -783 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3983026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + s, 6 = s + 4. Let o(j) = 658*j + 3. Is o(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r + 0*r - 235*r**2 + 242*r**2 + 2.\nAnswer: 7*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35553 - 3014. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (754\/(-1015)*-7)\/(8\/(-60)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + 5*o**2 - 9*o + 1. Let i be v(-6). What is the highest common factor of 361 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5351336 divided by -5351336\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/5632 and -7\/2048.\nAnswer: 22528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 532663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8562927 to the power of 1\/2, to the nearest integer?\nAnswer: 2926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + l = 5*s + 2, 3*s = -2*l - 2. Let t be 86\/(-5) + l\/(-20). Is -18 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + 5*v**2 - 7*v - 1. Let b be x(-6). Let k = b - 9\/2. What is the nearest to k in -1\/8, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2273*a = -f - 2278*a + 1, 3*f = 3*a + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7514 - -7684. What is the least common multiple of f and 680?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24 + (-48)\/3)\/(2 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-1)\/(4\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10961522, 43846083, 98653684, 175384325, 274038006, 394614727?\n\"Answer: 10961520*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 9, 143, 507, 1215, 2381, 4119, 6543?\n\"Answer: 19*r**3 + r**2 - 2*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57.163 + 0.837. Which is the nearest to g?  (a) -3  (b) -0.2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1856 + -1273. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(125) - (sqrt(125)*-1 + sqrt(125))**2) + -2.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -5*b - 2. Let v = -68 - -1. Let m = v - -71. Are b and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + a = 351 - 389, 56 = -i - 2*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wbbbbwbwwwwwwwwbbww. What is prob of picking 3 b?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -37 + (-53 - (22 + -49)) + 7\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (88 - 81) + (-8 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78120 and 36216060.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(8\/(-6))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + l + 2 = 0. Let t(w) = 1 + w**2 - 4 + 4*w + l. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -41297*y + 206449. Give p(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 177 + -184.7. Let h = c - -7.9. Let v = -40 + 36. What is the closest to -2 in -2, v, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3692, -29833, -100784, -238949, -466732?\n\"Answer: -3734*o**3 - o**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 12:30 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 4) + (-5 - -3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((3*sqrt(56)*-6)\/(-1*sqrt(48)\/sqrt(6)))**2.\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 2*d = 26, -2166 + 2190 = 3*w - 3*d for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 6 = l. Let p be l\/15 + 2\/(-5). Which is the smallest value?  (a) -0.1  (b) -0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/3))**(-2\/109))**(-1\/10)*(s**6*s*s**4)\/((s**(-2)*s)\/s**(-7)) assuming s is positive.\nAnswer: s**(8176\/1635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -115 by 115.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0*1\/4*2. Let p = b + 2. Find the first derivative of -p + q + 3 + q wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6815 is divided by 342.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 378030357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36112314 is divided by 119?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*g - 3*m = 130*g + 5, 2*m = 3*g - 3*m + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 4*v**3\/3 + 327572*v**2 + 5568408*v + 51097696\/3 = 0.\nAnswer: -245662, -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 2*m - 4. Let h be 1*-2*1\/2. Let u be ((-2)\/(-4))\/(h\/6). What are the prime factors of k(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) - sqrt(36)\/sqrt(3))\/sqrt(6) + 5 - (sqrt(4)*1)\/sqrt(2)*-6)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**3\/17 - 40608654*h**2\/17 + 162434640*h\/17 - 162434648\/17 = 0. What is h?\nAnswer: -20304331, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, j: 3, o: 2, h: 1}. Give prob of picking 1 o and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 195 and 1908205?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 97240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 37 = 93*j - 98*j, 0 = 4*j + 5*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -373 + 374 + (-2)\/(14\/(-37)) + -6. Which is the nearest to 9?  (a) -5  (b) -10  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*h = 30*h + 436 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 less than -322266?\nAnswer: -322266.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1872 + 2099. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (-560)\/(-77))\/(6\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -10*x**2 + 238*x - 60. What is b(24)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1953005167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*2\/36*8\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q. Suppose 2*f + 3*f = 30. Let l(z) be the first derivative of -5\/2*z**2 - 1 - z. Give f*m(c) - l(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*y + 77798 = 0, 58338 = 3*b - 72*y + 69*y. What are the prime factors of b?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a8bc (base 15) to base 8.\nAnswer: 105617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 30 = 4*d. Suppose -4*p - 4*u = -3*u - d, 0 = 5*u + 20. Let g(k) = k**2 + 5. Let l be g(0). Solve -5 = -a - j, j - 25 = -l*a - p*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1 + (-52 + 163 + 171)*(-1 + 3 - 3))*((-2 + 0 + 4)*(-2*d - 3 + 3) - d + d - 2*d)*(1 - 2*d - 1).\nAnswer: -3408*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 327159?\nAnswer: 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 + 1)*(-f + 2*f - 2*f) in the form a + k*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((5 + (-4*sqrt(176) + sqrt(176) - sqrt(176)) + 5)*-4 + -2))**2.\nAnswer: -86016*sqrt(11) + 749120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**3 + 2*r**2 - 2*r**2)*(0*r - 11*r - 10*r)*(-3*r - 3*r + 0*r) + (7*r**4 + 2*r**4 - 6*r**4)*(1 - 1 - 4*r).\nAnswer: -138*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -70 - (16 - 2 - 46).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4*g - 12 = 0, 2*d + 18*g - 10 = 21*g. Solve 0 = -a - 0*a + l, -4*l = d*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 (base 12) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11903 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: List the prime factors of 23074.\nAnswer: 2, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 9, -401 = 3*d + d + 3*y. Suppose -2*j + 4 = -o, 0*j + 5*o = -3*j - 7. Does 11 divide d\/(-3) + j\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 3. Let a(z) = z - 13. Let b be a(15). Suppose b*w - w - 4 = 0. Suppose 4*m - 2*k + 3*k = 28, -w*k - 16 = 0. What is c(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2758080?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 3*f**2 + f**3 - 5*f + 0*f**3 + 1 + 5*f**2. Calculate the remainder when 7 is divided by r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 - 43 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 18*k**2 + 826*k + 4944. Give u(-6).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2609020187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123626.\nAnswer: 2, 61813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -297723\/17 - -17513. Which is the second biggest value?  (a) -4\/7  (b) -4  (c) l  (d) -1\/6  (e) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 13*h = 324. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -244370 and 54974826.\nAnswer: 54730456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*l = -4*l + 34. Let x(i) = -i. Let h(d) = 17*d - 50. Let c(f) = l*h(f) + 4*x(f). Find the first derivative of c(o) wrt o.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/10)\/(6\/(-45))*4\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00416832 rounded to 5 decimal places?\nAnswer: -0.00417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1299 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5621*f + 5655*f = 927452. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in -19.1, -3, 8\/309, -1?\nAnswer: 8\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7347.71ml to litres.\nAnswer: 7.34771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 31257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 - 22 = -j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (12 - (-644)\/(-42))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1067360 divided by 953?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -5*a**2\/2 - 3*a + 2. Let v(h) = h - 4. Let t = -4 + 7. Let o be v(t). Let y(u) = u + 1. Give o*q(i) - 2*y(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 242950 - 45*h**2 - 485931 + 242981.\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 165143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30368 and 9344.\nAnswer: 121472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -34*k**2 - 5*k + 7. Let l(x) = -68*x**2 - 11*x + 14. Let g(h) = 3*l(h) - 7*w(h). Is g(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 34 - 25 - 35*l)*((2 - 2 - 1)*(1 + 3 - 7) + 4 + 2 - 5)*(l**3 + 0*l**3 + 0*l**3).\nAnswer: -140*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -228924000 rounded to the nearest 1000000?\nAnswer: -229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -3 + 7. Let d = 5 - g. Let l = -7 - -17. Solve -o - 3*n = 6, d*o - 7*o + 5*n + l = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the third derivative of 0 + 0*b**3 + 0*b**4 - 2\/15*b**5 - 5*b**2 - 1\/60*b**6 + 0*b. What is the third derivative of i(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -101051*y**5 + y**4 + 549*y - 7332 wrt y?\nAnswer: -2021020*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13044 + -10?\nAnswer: -13104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288 = -0*l + 22*l + 240 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 11 = -4*a. Calculate the remainder when 29*((-4)\/18 + (-22)\/(-18)) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-25)\/(-10))\/1)\/(2\/44). Calculate the highest common factor of 385 and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -3*g - 30, -5*g - 57 = i - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288659?\nAnswer: 7, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5711*k = -36490 - 62230 + 606999 for k.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (682\/(-372))\/(22\/(-18))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -27 - 133. Let l be (6\/(-10))\/((-4)\/d). Determine k so that l*k**2 - 6*k**2 + 14*k**2 - 8 - 6*k**3 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28555 and 7470?\nAnswer: 42661170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56 + 52 + 3*w**2 + 5*w**4 + w - 3*w**4 + 0*w to n*w + q + y*w**4 + h*w**3 + z*w**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 206624 (base 8) in base 3?\nAnswer: 10111200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i + 458720948. Let w(v) = -2*v. What is m(w(b))?\nAnswer: -2*b + 458720948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 4 = -2*t, -4*b = -3*t + 8 - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 710 - 494. Suppose 162*z = 180*z - i. Calculate the least common multiple of z and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 64 + 58. Suppose 4*v = 4*x + 148, -y*x = -5*x + 10. Suppose 0 = -2*j - v + 380. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(98) + 0 + sqrt(98) + sqrt(98) + (sqrt(98) - 2*sqrt(98)*-6) + sqrt(98) + -2*(4*(sqrt(98) + 1) + sqrt(98) - sqrt(98)))**2.\nAnswer: -756*sqrt(2) + 7974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 27049008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -7*c + 20. What is the units digit of f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 2:10 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s = 14. Let v(q) = 4*q - 29. What is the units digit of v(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30576*22.51\nAnswer: -688265.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/92 - 89\/276. Let h = -856182 + 569361213\/665. Let s = h + 1\/95. Which is the nearest to 1\/6?  (a) -0.1  (b) u  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1218206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**2 - 4222*t + 12684 = 0. Calculate t.\nAnswer: -2114, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*j**2*k**2 - 17*j**2 + j + 57*k**2 wrt j?\nAnswer: 6*j*k**2 - 34*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -60*((-462)\/468 - (4\/8 - 17\/26)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u. Let g(y) = -2*y - 5. Let t(x) = -g(x) - 3*p(x). Give t(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 609395.\nAnswer: 5, 307, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*h - 6 = -53 - 44 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/15888 and 57\/208?\nAnswer: 206544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7862521 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 - 149 + 0 = -29*x. Let n(c) be the second derivative of 7\/20*c**5 + 7*c + 0*c**4 + 0*c**3 + x*c**2 + 0. What is the derivative of n(q) wrt q?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22202640 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 7 = -16, -5*w + 4*s + 42 = 0. Solve -2*b + 32 = w*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(126) - sqrt(126)*-2)\/sqrt(2))\/sqrt(9) + -3*(2 + sqrt(21)\/sqrt(3))*1 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 165 and 5665?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007819063 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -431*l + 429*l + 23 = -g, -4*g = 4*l - 16 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 12*v = m - 7*v - 37, 29 = -3*m + 4*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 7*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i = 4*g + 273 - 74, -19*i + 59 = -15*i - 8*i + g for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4*o - 59. Let q(l) = -2*l + 58. Give 3*q(c) + 2*u(c).\nAnswer: 2*c + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -3 + 0*q + 0*q**2 - 4\/3*q**3. Let i(y) = 2*y**2. Calculate i(n(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 114688 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, j: 2, l: 2, q: 2}. Give prob of picking 1 j, 1 l, and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 1. Let s(f) = -2*f**2 + 4*f - 13 + 14 - 10*f. Let c be s(-3). Let t(a) = -a**3 - a**2 - a + 1. Give c*k(q) + t(q).\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*(-3)\/(-6)*-1. Let v(s) = -s**3 - 8*s**2 - 3*s - 10. Let p be v(-8). Let f = p - o. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 864\/(-2574) - 2\/(-11). What is the closest to -0.2 in c, 1\/7, -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + -2 + (6 - -2). Which is the third smallest value?  (a) 0.4  (b) -0.3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: What is eleven tenths of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - 11012120?\nAnswer: -11012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n + 3*j = -2*n - 59, 26*j + j - 18*j = 27 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o - 2. Let u be l(2). Let k be u\/(2\/3) - -2. Let x(n) = n**2 - 3*n - 7. Determine x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2396\/3)\/(-4)*3. Let m be (-5)\/60*-4 - 28070\/(-30). Let w = m + p. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(175) - (sqrt(175) - -2*sqrt(175) - sqrt(175)))**2 + 0 + -5 + 3*sqrt(63)\/(sqrt(27)\/sqrt(3)) + 5).\nAnswer: -875 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -66, 5, 9, -10, -4 in descending order.\nAnswer: 9, 5, -4, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3009*v**3 - 2332*v**2 - 3*v + 3. Let s(k) = 3005*k**3 + 2332*k**2 + 2*k - 2. Let y(c) = 3*s(c) + 2*w(c). What is the third derivative of y(r) wrt r?\nAnswer: 17982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-198)\/(-4653) + (42\/(-12) + 4)\/(47\/(-4516)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 - -35. Let n = i - -13. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/3 in 2, -2, -6, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -2, -9, 3 in decreasing order.\nAnswer: 5, 3, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 5*i - 13 = 0, 0 = 4*q - 3*i - 2 + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2413, 2769, 3105, 3421, 3717, 3993, 4249?\nAnswer: 4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 61 + -41. What is the remainder when 78 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of 161*b**4\/4 - 629*b**3\/6 + 527*b**2 - b. What is the first derivative of y(d) wrt d?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/861 and -53\/231896.\nAnswer: 695688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -46079 times 0.18\nAnswer: -8294.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 264 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**3\/8 - 45*y**2\/4 + 324*y = 0. Calculate y.\nAnswer: -48, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*p + 3*n, -3*n = 2*p - 7*n + 2. Suppose -14*y + 3*y + 11 = 0. Solve y = -2*o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*b - 18*b - 26*b + 198. Let a(n) = 37*n**2 + 6*n - 6. Let y(c) = -1849*c**2 - 301*c + 301. Give b*y(u) + 301*a(u).\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -371.3 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3317214476 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -41089839 rounded to the nearest 10000?\nAnswer: -41090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 49 and 13083.\nAnswer: 13083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 3*v**2 + 6*v + 10. Let z be o(-4). Suppose -2*j - 3*k = 10, 2*j = 6*j + k. Solve w - j = z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.11, 0.08, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -1681 and 107941049039.\nAnswer: 107941047358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -8208 divided by -27\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.6756566 milligrams?\nAnswer: 675.6566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 0 - 17*u**3 + 16*u**3 + 0 + 1 wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 88 - 50. Let g = 38.00000037 - d. What is g rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 129632 by 6.\nAnswer: 64816\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 27 = 2*y - t, 29109 = 4*y - 3*t + 29028 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51693643, -51693642, -51693641, -51693640?\nAnswer: -51693639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 6.73, 117\/5 in decreasing order.\nAnswer: 117\/5, 6.73, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 9)*1\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2909267057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -183\nAnswer: 1\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/(-6)*17766\/117453)\/((-4)\/(-204)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -69 + 77. Let k be 6\/h + (-3)\/4. Suppose 2*o = -5*t + 102, k = -2*t - t - 4*o + 64. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3949 and 73954.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, u: 7, c: 9}. What is prob of sequence cb?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - (1 + 1) - -1. Let d be ((-58)\/(-580))\/(2\/(-8)). What is the third biggest value in t, d, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i + 4695438*i**2 - 4694121*i**2 - 2*i.\nAnswer: 1317*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/236 and 69\/2?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 40628173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (408\/16)\/(-17)*(-16)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 67371711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*g = -20*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/315 and -143\/2058570.\nAnswer: 14409990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*h - 1 + 1)*(7*h - h - 2*h) - 4*h**2 - 2*h**2 + 4*h**2 - 1753 + 65*h**2 + 1753 in the form b*h**2 + v*h + z and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52806 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11, 28993.4, -61\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -2 - 61*x + 0 + 62*x. Let a(d) = -d. Determine -2*a(s) - y(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 254*k**3*z**2 - 2*k**3*z - 2*k**2*z**2 - 37*k*z - 695*z**2 - 1127 wrt z.\nAnswer: 508*k**3 - 4*k**2 - 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -o - 2*g, 181*o - 6*g = 185*o + 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j - 5*j**4 - 2*j**2 + 157*j**3 - 154*j**3 - 4 + 2 to p*j**4 + o*j**3 + q*j + w + t*j**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-20)\/6)\/((-4)\/12). Let r = -5090 - -5400. Calculate the highest common divisor of r and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -84110, -336734, -757772, -1347224?\n\"Answer: -84207*s**2 - 3*s + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0645891948 to 5 decimal places.\nAnswer: -0.06459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 43*b**3 + 26 - 122*b**3 + 80*b**3 + 14*b**2 + 3*b. What is r(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 8*z + 9. Let s be 2*((-3)\/(-6) - -1). Suppose 6*j - j + 27 = -s*m, -4*j + 4*m = 28. Let l be h(j). Put -5, -4, l in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.084 - -57.916. Let p = y + -63.8. Let q = p - -6.8. Which is the fourth biggest value?  (a) -2\/7  (b) 0  (c) -2  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, u: 3, v: 1, c: 1, x: 6}. What is prob of picking 1 x, 1 c, and 1 g?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 244921282.\nAnswer: 2, 251, 487891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 0, 10 in descending order.\nAnswer: 10, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 123102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c. Let p(l) = 2*l**3 + 7*l**2 - 3*l + 5. Let u(z) = 4*i(z) + p(z). Calculate the remainder when 31 is divided by u(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174*o = -761 - 1050 - 277 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 64 and 43400?\nAnswer: 347200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2. Let b be h(2). Suppose -3*g = 4*v + 2 + 1, 0 = v + 3*g + 3. Suppose -z + 14 = 2*a - v*z, 5*a - 35 = 5*z. Solve b*t + 3 = a*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1295 + -1292. Solve -22*s + 18 = -26*s + 2*z, -o*s = -2*z + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 n when three letters picked without replacement from uyvyznjvyyvnvjnnvvz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of -o**7\/2520 + o**6\/90 + o**5\/60 + o**4\/2 + 6*o**2. Let w(l) be the second derivative of s(l). Give w(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (32\/80)\/(6\/105). Let w(a) = -6 + 5*a - 3*a - a. Let i be w(10). Solve h*m = i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -362*c - 20 = -366*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 989, 1958, 2911, 3842, 4745, 5614, 6443?\nAnswer: 7226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -419*g + 248*g - 268*g.\nAnswer: -439*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 905592 divided by -582?\nAnswer: -1556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 16. Let j be ((-1)\/(-6))\/((-1)\/d). What is the third biggest value in 6, j, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**2\/7 - 17082*q\/7 - 17103 = 0 for q.\nAnswer: -7, 5701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 9:55 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 253\/43?  (a) -4  (b) -0.4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 0 + (105 - 14 - 116)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 + 10*b + 1 - 3 + 6 - 6*b. Let c be n(4). Suppose c*x - 251 = 205. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/450176 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 120*s**3 - 41*s - 40. Give b(-1).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of 3965*r**8\/56 + 419*r**4\/4 + 30*r - 15. Find the third derivative of c(q) wrt q.\nAnswer: 475800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7897 is divided by 283?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -44*s**2 + 11*s + 11. Let r(c) = -15*c**2 + 4*c + 4. Let q(z) = 4*h(z) - 11*r(z). Let a(t) = -2*t. Calculate a(q(f)).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*o**2 + 12*o**2 - 5 + 28.\nAnswer: -4*o**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 10*h + 1. Let u be z(2). Calculate the highest common divisor of u and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 6. Suppose 0 = 2*j + 2*o - 12, -j + 2*o = j + 8. Let s(r) = 3*r - 5 - 2*r - 5*r - r**2 + j. Let v(w) = -w**2 - 5*w - 5. What is b*v(d) - 5*s(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.8 + 4.8. Which is the closest to -2?  (a) h  (b) 3\/2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -440, 6, 0.\nAnswer: -440, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(156)\/(sqrt(336)\/sqrt(7) + sqrt(48)))\/(-5*(sqrt(100) + (sqrt(100) - sqrt(100)*4))))**2.\nAnswer: -sqrt(13)\/50 + 2560013\/160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 3  (c) 483\/17  (d) -0.5  (e) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -6\/7  (b) 4\/15  (c) -61  (d) 2\/19  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 9*t - 10. Let i(d) = 2*d**2 + 9*d - 9. Let l(b) = -3*g(b) + 2*i(b). What is the tens digit of l(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-31*p - 7*p - 138*p)*(-2*p**2 + p**2 + 2*p**2) as j + b*p**2 + z*p + x*p**3 and give x.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*b - 39*b**2 + 34848 + 0*b - 34700 with respect to b.\nAnswer: -78*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -25*q + 379. Let a be r(15). Solve 5 = -l, 0 = -a*o - 0*l + 4*l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58074331?\nAnswer: 7, 8296333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -408, -863, -1302, -1719, -2108, -2463, -2778, -3047?\n\"Answer: x**3 + 2*x**2 - 468*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2)\/((-43)\/258)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**4 + 14*d**3 + 60*d**2 + 50*d - 125 = 0. Calculate d.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*z - 63*z - 22*z. Let a = 6 + -2. Solve z = 2*k - r + 6, a*k + 24 = -6*r + 2*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 4*v**2 + v + 4. What are the prime factors of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6461 and 24921.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-4 - 0) + -3 + (-117)\/(-351).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 393863 - 95*j + 547*j - 393863 in the form g + v*j and give v.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-158)\/1470 + (-77)\/(-1155). Put 0.07, 3\/2, -2, n, 5 in descending order.\nAnswer: 5, 3\/2, 0.07, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47 - (22 - -3 - (-36 + 50))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - ((-3 - -8) + -3). Suppose 4*f = 5*n + 5, 3*n - 7 = f - 3. Suppose -n*v = -q - 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4\/3  (b) -0.04  (c) -0.1  (d) 2  (e) 2\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2784 * -29415\nAnswer: 81891360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/246 - 4982535\/(-64698)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1107\/45 + (-9)\/15. Suppose 20*v + 368 = h*v. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3102441311002 - -4?\nAnswer: -3102441310443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m - 5. What is the remainder when 18 is divided by u(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*c = 70*c - 113*c + 5*s - 10, 0 = -3*c - 4*s - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m**2 - 1370*m + 1375 = 0. What is m?\nAnswer: -275, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -4\/17, -2\/27521, 5, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of h**2\/2 + 24*h + 7. Let g be j(-9). Let l = -11 + g. Solve -u + 2*v + 13 = -l*u, -2*u + 3*v = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 14 = 2*d, -2 = -3*z + 2*d - 8. Let k = 5263 + -5214. Sort -3, z, k.\nAnswer: z, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 387050558 a multiple of 5971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(-1*sqrt(110) - sqrt(110)) + sqrt(110))\/(sqrt(22)\/sqrt(2)*1))\/(3*(sqrt(180) + sqrt(180)*1*3)).\nAnswer: -5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7299793.\nAnswer: 29, 151, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17521487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 6. Suppose 0 = p + h - 6*h + 21, g*p - 6 = -2*h. Let v be 2\/(-2) + p + 1. Which is the third biggest value?  (a) -3\/4  (b) 0.2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 950100 and 18?\nAnswer: 2850300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 759846 and -0.5.\nAnswer: 759845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10 + 1 + -1 + 2. Suppose 0 = -5*g + 8 + r. Solve u = g*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 13 - 9. Let m(j) = 23 - 8*j - 14*j + j**2 + 0*j**2. Let y be m(21). Solve d - 20 = 4*k, -y*k + 3*d - 4 = -l*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 125*q + 0 - 75\/2*q**3 + 8\/3*q**4 + 0*q**2. What is the second derivative of i(v) wrt v?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**2. Let j(c) = 59 + 425*c + 6 + 57 - 123 - 2904*c. Determine j(d(f)).\nAnswer: 4958*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3 - 9. Let g be 8\/36 + (-32)\/(-18). Let u = g - -3. Solve 13 = -u*j + x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b**3 - 9*b**2 + 4*b. Let d(t) = -t**2 + t. Give -4*d(y) + r(y).\nAnswer: 2*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2582580 divided by 2002\nAnswer: -1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.612  (b) -2\/15  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 23*y**3 - 69*y**2 + 7*y + 3. Let f(n) = 42*n**3 - 137*n**2 + 13*n + 6. What is -6*f(h) + 11*k(h)?\nAnswer: h**3 + 63*h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + -2 + 2 + 74 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 47620*g**4*u - 2*g**2 + 31*g*u wrt g?\nAnswer: 1142880*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 241 - -850.22.\nAnswer: 1091.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -19*d + 40*d - 12 - 18*d. Suppose p + 7*s = 4*s - 4, -3*p - s = -12. What is the units digit of b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 561*b + 2*a = 565*b - 36, 1 + 36 = b - 5*a - 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 29c1c + 232?\nAnswer: 29e4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 125024 - 250047\/2. Let d = -9 - -1. Which is the closest to 0.1?  (a) -3  (b) d  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -174*k + 1157 + 10501 = 0. Solve k*d = 59*d - 56 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.63744 tonnes in nanograms?\nAnswer: 92637440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119 + 25 = 4*k. Solve -k*y - 138 = 10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 divided by 5?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6\/72*-3 + (-2)\/((-64)\/837128)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-34*j - 6*j - 20*j)*(3 - 2*j**2 - 8*j**2 + 11*j**2) as w*j**3 + s*j + p*j**2 + a and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 40557633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 3:40 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5694, 11383, 17068, 22749?\n\"Answer: -2*c**2 + 5695*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from aaaz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 645 - 471. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 6*a + 5. Calculate x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 28*l**3 - 1105*l**2 - 74442?\nAnswer: 84*l**2 - 2210*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.99 - -6. Let s = -5.01 + p. What is the second smallest value in 2, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.4 - 1.399. Let i = s + 0.399. Sort -0.05, i, 3 in increasing order.\nAnswer: -0.05, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - ((-1)\/(-4) + (-548)\/16). Calculate the highest common factor of y and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6721 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*m - 5*m**2 + 40*m - 23*m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1, -2, -17, -50, -107, -194?\n\"Answer: -p**3 + 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56574)\/(-25593)*1520\/(-30).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -7*w + 4. Let b be n(-8). Suppose 5*j - 2*p = b, 3*j + p = 2*j + 19. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m*p*u**4 + m*u**2 + 2*p**2*u**4 + 8*p**2 + 7*p wrt u.\nAnswer: -24*m*p*u + 48*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) - -6*(sqrt(832)*-2 - sqrt(832)))*-1)**2.\nAnswer: 240448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/sqrt(7)*5)**2 + (sqrt(539) + -2 - sqrt(11)).\nAnswer: 6*sqrt(11) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 830.68 kilometers in micrometers?\nAnswer: 830680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - a - 1. Let s be g(-1). Suppose s*o - 24 = -o. Solve 2*j - 4*j - o = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 14 = 10. Let d(q) = q**2 - 10*q - 14. Calculate the remainder when 29 is divided by d(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7454 divided by -11688.\nAnswer: -3727\/5844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7145 in 0.8, -2\/11, -4, -31?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 divided by 23486?\nAnswer: -15\/23486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/((h\/(h*h**(3\/4)\/h*h)*h*h)\/h)*h)\/h**(-9\/5)*(h**3)**29 assuming h is positive.\nAnswer: h**(1831\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52500, -52419, -52338?\nAnswer: -52257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 4, -11, -16 in descending order.\nAnswer: 4, -3, -5, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 35 = 3*z. Let k = z + -5. Let l = 9 + k. Solve -3*m + 4*q = -l, m + q + 5 = -2*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1080 + -400. Round i to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4\/5, 0.2, 0.01, 0.08?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -8\/13, 0, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 2*w = 0, 17*i - w = 52*i - w - 4*w + 5*w - 105 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) + -4*sqrt(343) + 2)**2 + (sqrt(98)\/sqrt(98))\/sqrt(7).\nAnswer: -587*sqrt(7)\/7 + 3091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**(-5))\/o*o**(-2\/9)*((o**(-1)*o)\/o)**(-12) assuming o is positive.\nAnswer: o**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23 - 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + 229*s + 8997. What is b(-52)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-77)\/(-44) + 12\/(-16). Let x = 366 + -363. Sort x, o, -93.\nAnswer: -93, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zhmh when four letters picked without replacement from {z: 8, m: 7, h: 3}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - c + 167, 787*c + 188 = 4*z + 791*c. Solve -17*u + z = -11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2\/51, 610, 47, 0.4 in increasing order.\nAnswer: 0, 2\/51, 0.4, 47, 610","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1236550, 1236552, 1236554, 1236556?\n\"Answer: 2*t + 1236548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = i - 213, i - 4*i = 3*v - 135. Let f = v - 37. Solve f*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -187, -178, -167, -154, -139?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 114967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o**5 + 121*o**4 + 498*o**3 + 412*o**2 - 136*o = 0. Calculate o.\nAnswer: -2, 0, 1\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1219.882 + -1051.06. Let v = t - 169.011818. Let z = v - -0.19. Round z to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 4*h + 2*c - 5 = 0, 2*c = -h + 3. What is the nearest to 35 in -1\/2, 3\/5, h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 8*b**2 - 7*b + 8. Let i be f(-7). Suppose 4*k = i*k. Is 0 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48508 by -12127.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 5 = -8*u. Let j be (-7 - -4) + (-5)\/u. Solve 15 = l + j*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.1  (b) -11  (c) -8  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, b: 2, z: 2, f: 2, n: 1, s: 1}. Give prob of picking 1 f, 1 w, and 1 s.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 9185 times 35\nAnswer: 321475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5696412.\nAnswer: 2, 3, 29, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 3*i**3\/8 - 39*i**2\/4 + 507*i\/8 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 35238 and 1302.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 - 5*b**2 - 5*b - 5. What is the units digit of n(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17a0 (base 14) to base 9.\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 16*p**2 + 59*p + 8. Calculate i(18).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - -2) + (-8)\/4. Which is the nearest to -0.4?  (a) 4\/7  (b) q  (c) -3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-4\/3)\/q**(2\/7)*(q**(-27))**(-1\/34) assuming q is positive.\nAnswer: q**(-589\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19240305 is divided by 17057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 - 4*k - 1. Let i be u(5). What is the units digit of -11*(4\/2 - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oohvvozhvoozzvzzzz. Give prob of picking 2 z and 2 o.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 8. Let r be (-1)\/(-5) + 14\/d. Suppose 6 = -6*a + r*a, 3*o - 30 = 3*a. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/(15\/(-391930)*11). Round x to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f + 8. Let n be t(-12). Let g = n + 5. Let c(k) = -7*k**2 - 2*k + 1. Calculate c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -155*n**3 - 45*n**2 + 945*n + 1970. Let o(j) = 17*j**3 + 5*j**2 - 105*j - 219. Let k(u) = 55*o(u) + 6*z(u). Factor k(d).\nAnswer: 5*(d - 5)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from wggggggwgwgg?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-6))\/(4\/14 + 348\/(-1512)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of 0 - b**3 - 11\/2*b**2 + 1\/20*b**5 - 1\/2*b**4 + 4*b. Does 23 divide u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -2*z**2. Let c(r) = r**2 - r + 1. Let d(k) = 3 - 4*k + 0 + k. Let b(x) = -3*c(x) + d(x). Suppose 25 = 2*a + 3*a. Determine a*b(g) - 8*y(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -0.74. Let z = 54452871.74000147 - 54452872. Let t = z - v. What is t rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 - -22. Let v = s + 7. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 447 a factor of 381897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 12 = 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4503 (base 8) to base 16.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 3483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9, -0.1, -7066, -14?\nAnswer: -7066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 - 10*t**2 + 27*t - 25. What is o(6)?\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d**2 - 17*d - 8. Let l = 418 + -413. Let h be r(l). Solve u = -h*v + 3*v - 17, 2*v = 2*u - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 4:53 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -43, -97, -149, -199?\n\"Answer: m**2 - 57*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.0866 take away 955.8117?\nAnswer: -876.7251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -293, -1, -4, -11\/9 in ascending order.\nAnswer: -293, -4, -11\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - 3\/12*0. Suppose p - 2*p = 0. Suppose k*j - 2*j - 18 = p. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/19154 - -4975\/3572221. Is r less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 4:40 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -32, -44, -52?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 592 = 5*b - 98*b - 431 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 12098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2211259*c + 2211251*c - 6633751*c - 14 + 2211242*c + 14.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1241 + -8689\/7. What is the biggest value in 0.4, -18, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-108)\/(-126))\/(4\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 13*r**2 + 7*r + 19. Calculate the remainder when z(-12) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 360 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.060573 * 0.754.\nAnswer: -0.045672042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -453145 + -3?\nAnswer: -453151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -j**3\/3 - 3*j - 6. Let c(y) = -4*y**2 - 11. Calculate -6*c(h) + 22*i(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -157, 4 in ascending order.\nAnswer: -157, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*p - 6266 + 10707 = -13775. What is the smallest common multiple of p and 13?\nAnswer: 9867","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and 22.3519779?\nAnswer: 22.0519779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 708182971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 divided by 87.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 30794*-372\nAnswer: -11455368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26814\/27 + 1\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 16 = -2*n + n, w - 2*n - 11 = 0. Suppose -4*v - 23 = 4*g - 903, -4*v = 3*g - 884. Suppose v = -0*h + w*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 2*g**6\/21 - 4*g**5\/35 - 2*g**4\/7 + 8*g**3\/21 + 2*g**2\/7 - 4*g\/7 + 20. Factor x(j).\nAnswer: 4*(j - 1)**3*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-35)\/(-1*((-4796)\/2396 - -2)). Let g = r + 29954. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-1)*w)**(2\/5)*(w**0*w)**(-1\/61))\/(w**(-5)\/(w**(-2)\/w))**(-11) assuming w is positive.\nAnswer: w**(-6349\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - x = -213, -3*m - 2*x = -0*x - 634. Suppose 0*z - m = -4*r - 3*z, 5*r - 4*z = 260. What is the remainder when r is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12178040 and 3220.\nAnswer: 12178040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 10*r - 352. Give a(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 127933 - -42246. Let v = 132398 + h. Suppose 3*z = -v + 2252577. What is z rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0299 plus -1768.155?\nAnswer: -1768.1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -232570.726 to the nearest 100.\nAnswer: -232600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 9:19 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, g: 2, i: 3, x: 4}. What is prob of sequence ixid?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -4. Suppose -94 = -i*a + 102. Suppose 79 + a = 4*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6034.868 millennia in decades?\nAnswer: 603486.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + z = 12, 3*r + 4 = 4*r - 3*z. Suppose -658808 = -4*u + r*k, -5*u + 300061 + 523431 = 4*k. Round u to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-228885)\/40)\/(27\/(-6)). Suppose 6*t + 1067 - 8741 = 0. Let y = t - j. Calculate the common denominator of -37\/9 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + w + 12, 3*y - 4*w - 9 = 0. Let a(m) be the first derivative of 0*m**2 + 7\/5*m**5 + 0*m - 5\/4*m**4 - 2\/3*m**3 + y. Factor a(r).\nAnswer: r**2*(r - 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 66, 1\/34, -2\/13, 743, 11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/351841 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2. Suppose -18 = 57*d - 63*d. Let a(m) be the second derivative of 0 + 0*m**2 - 3*m + 2\/3*m**d. Calculate a(w(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 949 + -946. Solve -70 + 64 = -c*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-504)\/(-2916)*-9*(-2)\/(-7).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -8  (b) -4\/9  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0777 + -0.0447. Let d = -5.04408 + 0.07708. Let v = d - n. What is the second smallest value in -1, -1\/5, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (364\/154)\/((90\/(-99))\/(-10)). Let q(m) = m**2 + 3*m - 7. Let u be q(-5). Solve -b - 2*b = u*s + 12, b - 5*s - o = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/23, 0.31, -1, 71, 35\/9?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 156954*v*w**2 + 7*v*w - 92*v + w**2 + 63*w wrt w?\nAnswer: 313908*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1357 - -162841\/120. Let u(q) be the third derivative of 0*q**4 - 3*q**2 + 1\/630*q**7 + 0*q**3 + 1\/90*q**5 + 0*q - s*q**6 + 0. Factor u(m).\nAnswer: m**2*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -5 + 177*g + 6 + 2 + 2. Let u = 258 + -254. Is q(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -52 + 48. Let s(p) = 6*p + 2. Let y(z) = -z. Let x(q) = -22*q - 5. Let l(n) = x(n) - 5*y(n). Calculate o*l(h) - 11*s(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -38667, -77333, -115999, -154665?\n\"Answer: -38666*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z - 4 + 6*z - 1 + z. What is the units digit of x(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -7*(2 + -6) + 2. Suppose -4*d - r + 7 + t = 0, 2*d = -4*r + 22. Sort 5, -2, d.\nAnswer: -2, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*o**2 - 25*o**3 + 26*o**2.\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h + 3. What is t(9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 1\/9*w**3 - 2\/3*w**2 + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1213753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + (-39)\/9)\/((-2)\/6). Is ((-60)\/u)\/((-15)\/160) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -1983*l + 19861. Calculate b(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000154238 rounded to seven dps?\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -9. Let u be (14*15\/420)\/(1\/12). Solve -2*r = -u*r + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of r**4\/4 + 2*r**3\/3 - r**2\/2 + 1. Let u be d(-2). Is 76\/(0\/1 + u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -110 + 186. Let t = p - 75.953. Let k = 0.053 + t. Is k > -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -12*y + 1\/2*y**3 + 9 + 0*y**2. Let s(n) be the first derivative of x(n). Give s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(-8*p + 6*p + 11*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(3\/7)*v**(-6\/7))\/(v**(5\/6)*v**(-8\/5)\/v*v) assuming v is positive.\nAnswer: v**(281\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-19) - 0\/(-3). Let w = 0.07 - 0.07. Put -1\/4, w, z in decreasing order.\nAnswer: z, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 728 and 275912?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43864.32 centimeters to micrometers.\nAnswer: 438643200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1586*b - 32 = -1590*b, -2 = 2*m - b. What is the remainder when 80 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**2 + 5*p + 4. Let h be x(-3). Let f be h\/4*(4 - 0). Let g = f + 3. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1603, 5, -3 in descending order.\nAnswer: 5, -0.1603, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3721, -3580, -3345, -3016, -2593, -2076, -1465?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5832 + 7367. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (165\/(-25))\/(((-333)\/(-45))\/(-37))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12355012 - 0?\nAnswer: 12355012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 - -21. Suppose -2*z = -p*i + 72, 0 = -4*i - 0*i + 2*z + 94. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 484 = -2*h, -2*h - h - k + 746 = 0. Suppose -x = 4*z - 5*x - 328, 3*z = x + h. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -8. Suppose 0 = 3*m + y*l - 62, 3*m + l = m + 43. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 103521946 to the nearest integer?\nAnswer: 10175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2719*d**3 - 4*d**2 - 2*d + 2. What is the tens digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/1 + (-33 - -33)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v + 69 - 12 + 3*v.\nAnswer: v + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 83, 227, 473, 827, 1295, 1883, 2597, 3443?\n\"Answer: c**3 + 45*c**2 + 2*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i**3 - 8*i + 13*i - i**3 in the form m + x*i + z*i**2 + y*i**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - l - 1. Let u(p) = -73*p**3 + 2*p**2 + 9*p + 2. Calculate -2*g(d) - u(d).\nAnswer: 73*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14250 - 2031 = k - 5287. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*l**3 + 0*l**3 - l**3)*(-3*l + 5*l - l).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70 and 3857.\nAnswer: 38570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from sqssssggqsasvmgs.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34809540 by 1023810.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55977 = 12*m - 363189. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 885307969 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.703 - 8.053. Let m = 1.4796 - 0.2406. Let p = m + q. What is p rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6481 and -0.0055?\nAnswer: 35.6455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j = 14*j + 186075. Let k be (-5)\/(-7) - 1 - j\/35. What is the second derivative of 4*y - 1063 + k + 22*y - 8*y**2 wrt y?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 73 + 28 = 0. Let t(i) = i**3 - 10*i**2 + 10*i - 5. Let q be t(c). Does 22 divide q + -7 + -1 + 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 2*u - 10. Suppose -u*q = -9*q - 3*n + 2964, -3700 = -5*q - 5*n. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 254*z**2 - 14*z - 17. Is q(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 36 = 3*t. Suppose -18 = -4*o + 6. Suppose 0 = -o*g + 4*g + 12. What is the smallest common multiple of t and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 36 = 13*l. Solve l*g + 6 = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 + -5 - -4) + -25 + 22 + -34\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1.15 * -0.1\nAnswer: 0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(6*sqrt(44)\/(sqrt(196) - (sqrt(196) + (sqrt(196) - 3*sqrt(196) - sqrt(196)) - sqrt(196))))**2.\nAnswer: 99\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 4*z + 20. Let k(q) = 2*q**2 - 11*q + 55. Let r(o) = 11*g(o) - 4*k(o). Let n(c) = 2*c**2 - c**2 - 23*c**2. What is r(n(d))?\nAnswer: 1452*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 1201103?\nAnswer: 1201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 193667 + -7068?\nAnswer: 186599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584)*-2*-3)**2*-2.\nAnswer: -114048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/27  (b) -0.3  (c) -1\/11  (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36005 - -13881. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 6*g**2 - 12*g - 16. Let y be b(-7). Sort -4, -3, 2, y in decreasing order.\nAnswer: y, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/10 + 801\/(-1335). Are f and 2\/37401 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 16*m - 1224. What is the lowest common multiple of f(81) and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.0334 from -4.\nAnswer: -2.9666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12483474 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 494456, 988906, 1483370, 1977854, 2472364, 2966906, 3461486, 3956110?\n\"Answer: u**3 + u**2 + 494440*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*d + 178*d**3 + 443*d**3 + 18*d.\nAnswer: 621*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.14 - 0.46. Let t = -2.3 - w. Let z = 1.30048 - t. What is z rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -23*p - 42 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1890217676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 312 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2842792 divided by 8.\nAnswer: 355349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*o - 3*o + 50011. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/45*-21)\/(-6). Let p = -273 - -272. Is p != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 1 - 4)*(2*f - 3*f + 3*f) - 6*f + 2*f + 2*f + (2*f + 2 - 2)*(4 - 3 - 2))*(-29*f**2 + 256515*f + 5 - 256515*f + f**4).\nAnswer: -6*f**5 + 174*f**3 - 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i - 37 = -4*i - 5*b, -2 = -4*i + 2*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*m - 356 + 36. Solve 6*f - 14*f + m = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 1\/6*w**3 + w + 0*w**2 + 0. Let o(p) = -p**2. What is c(o(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*f - 416 - 310 = 183 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*h - 4 - 3*h**2 + 5 - 2 + 5*h in the form o + c*h**2 + b*h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-230)\/55 - 20\/(-110). Let v(l) = -19*l**3 - 7*l**2 - 17*l - 22. What is the tens digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47328.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -101*o**3\/6 - 21*o**2 + 59*o. Differentiate d(x) wrt x.\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 254936 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 14\/(-49) + (-255)\/(-14)*-8. Let w = 157 + b. Solve 6*k - w - 7 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/90 - (665\/(-75) - (-54)\/6). Which is the nearest to i?  (a) 3  (b) -7\/206  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*(-13)\/(-468)*-9.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 4*z**3 - 764980*z**2 + 764976*z = 0?\nAnswer: 0, 1, 191244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6563*c**3 + 78*c**2 + 2*c.\nAnswer: 39378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 101865 or 5\/67?\nAnswer: 101865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (81\/(-72))\/((-15)\/40)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-36)\/(-30)*710\/4. Let o be w\/6 + (-3)\/(-6). Calculate the smallest common multiple of 10 and (1\/(-3))\/((-3)\/o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*j + 97*j + 196493 + 326*j - 196493.\nAnswer: 358*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-6))\/(34\/(-153)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(99)*6*2)\/(sqrt(81)\/((sqrt(99) + sqrt(99)*2)\/sqrt(11))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (1*sqrt(192) - sqrt(192))\/sqrt(4) + sqrt(3888) + 3 + sqrt(3888))*1)**2.\nAnswer: -288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4237, 2907, 14817, 31493?\n\"Answer: 2383*g**2 - 5*g - 6615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/(-36))\/((-2)\/18)*4. Solve 3 = 3*t - 3*n, t = -3*t - k*n + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(405)*3 + 4 + 5 + (3*sqrt(405) + sqrt(405) - sqrt(405)))**2.\nAnswer: -87966 - 5832*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -9. Suppose -w - u + 2 = 0, -q*u + 2*u + 11 = 4*w. Suppose -5*a = -w*d - 2, -5*a - 2*d = -0*d - 7. Sort a, -3, -2\/7 in descending order.\nAnswer: a, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3348)\/(-24)*1\/(3\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3913964 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7015172 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -11737 less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j - 570 = -10*j. List the prime factors of j.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3600*n + 36004. Calculate k(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5 = 5*v - 16, 0 = -4*j + 3*v + 1. Sort -13, -2, j.\nAnswer: -13, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-8\/3))**(-7)\/(b**8)**(-2\/53) assuming b is positive.\nAnswer: b**(3016\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6522652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1606512 + -1?\nAnswer: 1606511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -2\/13, 0, 38?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 13*s + 10*s - 21*s. Let h(d) = 78*d. What is v(h(r))?\nAnswer: 156*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3698943.3 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 5*m**3 - 90*m**2 - 240*m + 6400 = 0?\nAnswer: -8, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.3 and -46340196.13.\nAnswer: -46340193.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-19)\/(133\/(-441))*-1. Put 3, m, -3, 0 in increasing order.\nAnswer: m, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/12*3*(-14 - (-464)\/32). Sort v, -4, 204 in increasing order.\nAnswer: -4, v, 204","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {j: 1, o: 12, r: 6}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 + -9. Suppose -s*c = -371 + 95. Suppose -3*i - 5*p + 39 = i, 0 = -4*i + p + c. Calculate the greatest common divisor of 32 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 7:55 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2765884460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 5:03 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - -5) + (18 - 3) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.1 - 47.9. Let g = 50.41 + t. Round g to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cdaiiic. Give prob of picking 1 d and 2 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 47*w + 931. Let q be p(62). Solve -4*a + 4 = 2*z, -3*a - 2*z + 3 = q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-6) - 119\/(-21). Suppose 0 = -p + f*p - 20. Suppose o - p*o + 357 = 0. What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -90*z - 46 + 234*z - 117*z + 675*z**5 + 14 wrt z.\nAnswer: 13500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 4 + 4*x - 3 - 2 - 2*x**2. Let a = 7542 + -7537. Let i(v) = 4*v**2 - 9*v + 2. What is a*p(b) + 2*i(b)?\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -227196 divided by -23.\nAnswer: 227196\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.037969709 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13260 and 2658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 10 + 7 + (8 - -2 - -13)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*m**3*x**2 + 24*m**3*z + 2*m**2*x**2 + m**2*x*z + 2*m*x**2*z + m*x*z wrt m.\nAnswer: 54*x**2 + 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 368 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, 4 in decreasing order.\nAnswer: 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k - 9*o - 53, 0 = -6862*k + 6867*k - 3*o - 41 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 8*a - 3. Let n be m(2). Let o = 58 - n. Suppose 2*v = -t + 26, -3*t - 17 - o = -4*v. What is the greatest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = p - 8, -2*s + 68 - 66 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1458*n - 2910*n + 2*n**2 + 1452*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.4 - 1.4. Which is the closest to 0?  (a) -0.5  (b) -2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 3*g = -3*q + 17, 0 = -2*q - 5*g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 136\/3 + -46. Which is the second biggest value?  (a) 0.4  (b) l  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*p + 51*p - 3726*p**3 - 27*p.\nAnswer: -3726*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 12*j**2 + 12*j - 12. Let n be i(-13). Calculate the greatest common factor of 2 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/6*1*-12. Solve -q + 0*w = -w + 4, -2*q - f*w - 14 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -4c86?\nAnswer: -4c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.068 - 0.0794085332?\nAnswer: -0.1474085332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - f. Let z(x) = -7*x**2 + 7*x + 15. Let j(n) = 6*o(n) - z(n). Does 11 divide j(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5c (base 16) in base 3?\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2 + 5*z + 5. Let x be w(-2). Suppose -2*a = a + x. Let d = 5 + a. Is d less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 3*y, -2*h - 15 = h - 4*y - 48 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -206\/3 - -68. Let u = -9 - -9. Suppose u*g = -5*y - 2*g, 5*y - g = 0. Do l and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 4*y - 2*r - 124 = 0, y - 47 = -2*r. Let b = 246 + y. List the prime factors of b.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g - 80274 = -24114. Let l = g + -2652. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {z: 1, m: 1, i: 2, v: 3, a: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*k + 23333 - 4423 = 422*k for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1388497 and 1388497.\nAnswer: 1388497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(637) - ((-2 + sqrt(637) - sqrt(637))*4 + sqrt(637)))**2*2 + 5).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2.7*0.08108\nAnswer: -0.218916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12392?\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*m = 4*m - 2442. Is -112 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**(-1\/3))*c*c\/(c\/((c*c**(1\/14)*c)\/c*c)))\/(c**(-2\/17)*c*c*(c\/c**(-1\/2))\/c*c) assuming c is positive.\nAnswer: c**(-230\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 890*s - 885*s + 2*k, 2*s + 3*k = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*l - 0. Let q be ((-4)\/(16\/6))\/(-1)*-2. Sort l, 3, q, 7.\nAnswer: l, q, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -1, 0.061421 in increasing order.\nAnswer: -19, -1, 0.061421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 2*u**2 - u. Let c = -40 + 38. Let m be w(c). Suppose 4*y + m = 2*g - 0, -y + 16 = 5*g. Solve -18 = 5*q - g*q + 4*k, -2*k + 9 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, h: 2, w: 2, k: 1, t: 1, s: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 444183095 divided by -5?\nAnswer: -88836619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 + 12. Which is the closest to 5\/4?  (a) 0.5  (b) 0  (c) n  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2850\/2375)\/(6\/40*2))\/(243\/(-9))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/6)\/(6\/(-40)). Suppose -2*p + 41 + 9 = 0. Let i be p*4\/10*11. Calculate the greatest common divisor of i and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 16 = -0*j - 5*j, -3*m = -j + 4. Let o = m - -3. Suppose -5*l + 2*l + 30 = o. Calculate the remainder when l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 10*t**2 - 4*t + 37. Let r be y(10). Let d(z) = -232*z**2 + 13*z + 7. Let p be d(r). Round p to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 6*w = 40. Suppose 4*c = w*c - 132. Let o = c + -25. Calculate the remainder when 28 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 72 + (4 + 2 - ((5 - 8) + (12 - 14)))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 - 4*a**2 - 2*a + 3. Suppose -92 = -4*q - 3*w, 35 + 49 = 5*q - 4*w. Suppose -2 = q*v + 58. What is k(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {d: 5, m: 3, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 4*h + 12. Let y be ((-45)\/(-12) + h)*-4. Which is smaller: 1\/28 or y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -63*y**4 - 402*y**3 + 801*y**2 + 6660*y + 2400 = 0. What is y?\nAnswer: -5, -8\/21, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 653625 and 225.\nAnswer: 653625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 299 = 3*o, 0*x + 3*x + 403 = 4*o. Suppose -q = -3*k + q + o, -3*k + 4*q + 110 = 0. Calculate the remainder when 58 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 1, 8329 in decreasing order.\nAnswer: 8329, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 AM and 7:40 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 27993405?\nAnswer: 27993403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 14241051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 5*h**3 + 35190*h**2 - 70395*h + 35200 = 0.\nAnswer: -7040, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 + 11*g**2 - 2*g + 30. Let s be o(11). Suppose -10 = s*k - 6*k, -3*k + 1630 = 5*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -206955*s + 7450373. Give z(36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 14 = -5. Let s(z) = 10*z - 9. What is the remainder when s(7) is divided by m\/(-7) - (-150)\/7?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -172, -345, -518, -691?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 (base 10) in base 14?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -i - 4*s + 9, -5*s = -2*i - 14. Let n = -2190 - -13027\/6. Calculate the common denominator of 153\/10 - (6 + i) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 + -58 - (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -463\/755 + 2\/151. Let k(u) = 2*u - 9. Let o be k(6). Suppose v - 2*v + 8 = -5*j, 0 = 5*v - o*j + 4. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 8*r = 4*n - 117, -4*r + 102 = -n. Suppose 6*q - r = q. Suppose 15*t - 17*t + 3*z + 20 = 0, t - 10 = 2*z. Solve t*x = 5*x + q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1019 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*x + 5313 - 5573 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 363613.791 to the nearest one hundred.\nAnswer: 363600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 1245\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = 5*g - s, -4*s + 15 = -2*g - 11. Let v be g - (3\/(-1) + 2). Which is smaller: -7 or v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*2*5 - sqrt(68))\/sqrt(4).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 + 0 - 2)*(-2*m + 2*m + 2*m) + 2*m + 3*m - 2*m - 41 - 20*m + 41)*(0*m + m + 0*m) to the form g*m + t + d*m**2 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/39)\/((-4)\/6). Let d = -0.3 + 3.3. Put d, a, -2\/9 in decreasing order.\nAnswer: d, a, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*y**4 - 3*y**4 + 3*y**4 + (-3*y + 2*y**3 + 3*y)*(-1 + 1 - y))*(-2 - 4 + 4)*(0 + 0 + 1) to the form c*y**4 + v*y + u*y**2 + m + x*y**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 10) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2760 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -721655197 + 449305197. Round d to the nearest one million.\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6365419?\nAnswer: 43, 179, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5367 + 5366.9. Suppose -u = 3*u - 2*s + 92, -46 = 2*u - 5*s. Let k = -111\/5 - u. Which is the second biggest value?  (a) k  (b) w  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p**3\/11 + 28572*p**2\/11 - 342972*p\/11 + 1029024\/11 = 0. What is p?\nAnswer: -28584, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n and 1 x when four letters picked without replacement from xqqnqnxnq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 2*i + 8265 + 1784, 3*d = i + 10037. Is 0 + d - (-5 + 11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 20 = -0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = b - 4. Let x = b + 2. Suppose 5*m - x*u - 42 = 0, m - 6*m - 5*u = -10. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 570 = l + 566 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i - 142. Let k(p) be the first derivative of p**2 + 27. Determine m(k(h)).\nAnswer: -4*h - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ijsi when four letters picked without replacement from ssssiiipsj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**2)**(-2\/141)*u\/(u**(-3)*u)*u*u*u**12 assuming u is positive.\nAnswer: u**(2399\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 350191012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3831855 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 326902411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -11051400 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15982 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 107 + -60. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10448 + -10452.1292. Round y to two dps.\nAnswer: -4.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 2*n**4\/5 + 4*n**3\/5 - 22*n**2\/5 - 24*n\/5 + 72\/5 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 12\/524531?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_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: Let t = 20 + 38. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.62215cm in kilometers?\nAnswer: 0.0005762215","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-780)\/(-35))\/(115\/161*52\/(-130))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + 1 + 0\/1. Suppose 4*y - 38 = -2*u, 0 = -5*u + u - 3*y + 61. Let q be (u + -12)\/(2*-1). Which is the third smallest value?  (a) -0.4  (b) q  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 196737 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 780 = 4*n, 3*t = -t + 5*n + 1534. Suppose -336 = -v + t. Factor 175*p + 66 + v*p**2 - 58 - 23*p.\nAnswer: 2*(19*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5*l = 17, -j + 14 = 3*l + l. Suppose 4*p - 2*n + 3 = 5, -3*p - 2 = j*n. Solve 4*z = -i - 3, 3*z - 6*z + 2*i - 16 = p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 634454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -782442465578 minus 0.14?\nAnswer: -782442465578.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, m: 4, g: 3, b: 4}. Give prob of sequence mm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/740 and (-3)\/((-12)\/(-167))*268\/(-24120).\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 - 17*l**2 + 2*l - 31. Let a be r(17). Solve v - 5 - 5 = a*o, 2*v + o + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 181, 492, 945, 1528, 2229, 3036, 3937?\n\"Answer: -2*w**3 + 83*w**2 + 76*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11287*j**2 - 5757*j**2 - 5563*j**2.\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 10, -8 = 3*y - 5*i + 5. Suppose 2*a + 3*g + 14 = 5*g, -y*a - 4 = 2*g. Find the common denominator of 89\/2 and 295\/(-15) + a\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 5*v**2 + v + 3. Let j be y(5). Let n = 43 - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1106*z - 11202 = -76*z + 837*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - 1) + 0 + 30. Suppose -u = z - 1 - 26, u = 4*z + l. Solve u = -5*h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2d58 - 2d0?\nAnswer: 2a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 179 = 659. Let i = u - -406. List the prime factors of i.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 104118 - 104127.99979. Let s = -10 - o. What is s rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16145.1 rounded to the nearest one hundred?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 50*x**2 - 11*x - 364. Let u be q(-50). Solve 201*c - u*c = 105 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.1 and 21140.\nAnswer: 21141.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*r - 5*r + r)*(0*r**3 + 2*r**2 + 2*r**3 + r**2) + r**4 + 0*r**3 + 0*r**3.\nAnswer: 15*r**4 + 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15311 + 15310.89. Sort 0, q, -820, -0.5.\nAnswer: -820, -0.5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -24\/151  (b) -3  (c) 11\/3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8007424647 and -322.\nAnswer: 8007424325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 26253*u**2 - 10*u - 201101 wrt u.\nAnswer: 52506*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, 0.5, 2\/13, 0.1, 4 in descending order.\nAnswer: 4, 0.5, 2\/13, 0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 17 + a742?\nAnswer: a759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -21424 (base 6) to base 13\nAnswer: -1474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/4)\/(108\/24)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 12:24 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-5))\/q**(-3\/5))**40 assuming q is positive.\nAnswer: q**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2 - -7)\/(2 + 1))\/(-19 - -24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31 - -36) + -45 + 28.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -176 + 186. Let q be (3\/(-12))\/(x\/(-20)). Let v = -2 - 2. Sort v, 1\/3, -0.4, q in increasing order.\nAnswer: v, -0.4, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5*b + 2. Suppose -32 = -3*r + 4. Suppose 2*f - r = 4*w + w, 4*f + 5*w - 54 = 0. Let t(g) = 9*g + 4. Give f*o(u) - 6*t(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 6*c - 3. Let n be u(5). Suppose -5*x = -3*p + 8 + 30, n*x - 53 = -5*p. Calculate the smallest common multiple of p and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 224504718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -665 + -3?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618675 is divided by 503.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 856.8 and 0.0774463.\nAnswer: 856.8774463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 210837590.\nAnswer: 2, 5, 619, 34061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(4)*1) + sqrt(5) + (sqrt(180) + 1)**2.\nAnswer: 14*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1105307736 divided by -6.\nAnswer: 184217956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 39\/7 + 12\/(-21)*1. Suppose -y + 8 = v. Solve r + 0*r - 4*s = -9, y*s = -2*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -27*q + 19. Let j = -32 - -21. Let w(u) = -5*u + 4. Let i(t) = j*w(t) + 2*c(t). Determine i(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 342*j + 2736. Give v(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 166\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 12*k**2 - 33*k - 14. Let f be t(7). Which is smaller: f or 3\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(6) - sqrt(6)*1)\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.76 take away 1?\nAnswer: 30.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d. Let v(r) = r**2 - 341*r + 1. Determine 2*u(g) + v(g).\nAnswer: g**2 - 339*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, j: 1, z: 6, f: 2, b: 1}. Give prob of picking 1 r and 1 j.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*l**2 + 15*l**2 - 39*l**2 - 33*l**2 - 77*l.\nAnswer: -43*l**2 - 77*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1040)\/14 + 3420\/171 - ((-26)\/(-7) - 4).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 + (10 - 22))*4\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 8\/5  (b) -0.01  (c) 0.5  (d) -2.5  (e) 32  (f) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 163 = -47. Let z be a\/(-49) + (-2)\/7. Let n be 1\/(z\/2)*(-22 - -24). Put n, -13, 4, -5 in ascending order.\nAnswer: -13, -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 6, 93, 1 in descending order.\nAnswer: 93, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -49.717 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {j: 1, n: 1, t: 2, p: 4, q: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 2565.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -50620 and -262?\nAnswer: 13262440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2364211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*k = 2*k - 448. Solve -k = -7*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -75 smaller than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -203 - -207. Let z be 6\/(-12) + 42\/n. Solve 6*d - z = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -634 - -634. Are y and 1\/674 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/5 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/12482 and -41\/8.\nAnswer: 49928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + sqrt(119) + (sqrt(119) - (sqrt(119) + -2*sqrt(119)*-6)))\/(sqrt(7) + -1*sqrt(252) + sqrt(252) + sqrt(252)))**2.\nAnswer: 1377\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16881296 and 149392?\nAnswer: 16881296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(198) - -1*sqrt(198))*4 + sqrt(198))*-6)\/(((sqrt(176)*1)\/sqrt(4))\/(sqrt(28)\/(sqrt(7)*-2))).\nAnswer: 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 76753 (base 10) in base 2?\nAnswer: 10010101111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 8*z - 10. Calculate the least common multiple of z and 164\/10 + (-12)\/30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 9, r: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - l + 2 - 1)*(2813*l**2 - 1359*l**2 - 1380*l**2).\nAnswer: 148*l**3 + 74*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 852749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + -108 - (5 - (8 - -4 - 5))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2e - bdc15?\nAnswer: -bdbd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 6*q = 9*q + 141, 0 = 5*w + 3*q - 300. Let y(b) = b**2 + 3*b + 5. Let n be y(-4). Calculate the greatest common factor of w and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*d + 3*d - 2*d)*(-12*d**3 + 16*d**3 + 12*d**3) + (-d**3 - 12*d**2 + 12*d**2)*(-2 + 5*d + 2) as r*d**3 + v*d**4 + f + q*d + g*d**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9780.464 minutes to seconds.\nAnswer: 586827.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxggggxxgyxgxgygxx. Give prob of sequence xygg.\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6896 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o**2. Let z(t) be the second derivative of -t**4\/3 - t. Give y(z(w)).\nAnswer: 112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 27*c - 13. Let q be v(-4). Let f = q + -22. Let w = f - -206. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 8 + 5 + (-4 + 0 + 2)*(-5 + 5 - 1))*(6*a**4 + 18*a - 18*a) + (4 - 2*a - 4)*(a**3 - 6*a**3 + 4*a**3) + 6*a**3 - 8*a**4 - 6*a**3.\nAnswer: 138*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 - 33*n + 72. Let u be w(-35). Suppose -u*p - 2 + 6 = 0. Solve 3 = t + p*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 1 - 5*l**2 - 7*l**3 + 2 + 2. Let y(t) be the third derivative of -t**6\/30 - t**5\/20 + t**3\/2 + 6*t**2 - t. What is 3*i(r) - 5*y(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 29469286 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-7 - (-11)\/1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34121423 (base 5) in base 13?\nAnswer: a72c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1362103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 + -40. Let b = -64 - r. Solve 0 = -b*p + 8*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2692014080 rounded to the nearest 100000?\nAnswer: -2692000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.1 and -271.829281.\nAnswer: -270.729281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -59 + 59.2. What is the nearest to 0 in 3, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w + 9*w - 5*w + 3 + 6*w.\nAnswer: 15*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6 - (0\/1 + 2). Suppose h + 7 = 2*h. Let f(u) = -u + u**2 - h*u + 5 + u + 1. Calculate f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 17\/2 of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 55*a**2 + 201*a + 10878. Determine p(-55).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -14*p + 13. Let r(s) = -342*s**2. Give r(h(v)).\nAnswer: -67032*v**2 + 124488*v - 57798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*x**3 + x + 21*x**3 - 4*x**4 + 2*x**4 - 19*x**3 - 13 in the form b + c*x**2 + h*x**4 + y*x**3 + n*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*30\/8*9744\/5220.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from iiiaapaiapiia.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -z - 0 - 3, 2*z - 2*f = 2. Suppose -s = 2*s. What is the units digit of (-8)\/(-2) - (s + z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) + (sqrt(272) - sqrt(272)*1) - (4 + sqrt(17)*1) - (sqrt(17) - (sqrt(833) + 1) - 6*-1*sqrt(17)))**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -3\/2, 4, 2, -0.3, -0.8 in decreasing order.\nAnswer: 33, 4, 2, -0.3, -0.8, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/6)*o)**49*(o**(16\/7))**(-3\/22) assuming o is positive.\nAnswer: o**(18721\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y - 1. Let q be -2*1 - 6\/(-3). Let z = -2 - q. What is the units digit of u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -371 + 71 = -5*t. Suppose 5*x + 4*y = -3824, -x - 59*y - 765 = -58*y. Let s = x + 784. What is the highest common factor of s and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1192*t - 165975 = 5499*t + 227095 + 41937 for t.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29293625?\nAnswer: 5, 29, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24705 by 405.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2910251*-2.\nAnswer: -0.5820502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + 6 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 13) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 70 + -24. Let f = t - -25. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -219740, -218474, -217208, -215942, -214676?\n\"Answer: 1266*w - 221006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 c when four letters picked without replacement from chcchhchhhchhhcjhhch.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 137*l**2 + 22. Let f(t) = -t**3 + 19*t**2 + 39*t + 68. Let v be f(21). Let h(d) = 1. Let b(n) = v*h(n) - y(n). Differentiate b(c) with respect to c.\nAnswer: -274*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - -27. Suppose -t + 6*t = -4*o + 79, -h*t + 81 = 4*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 244 + -1705\/7. Let i = 0.5 - 8.5. Let j = 13 + i. Which is the smallest value?  (a) j  (b) -1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 7*l**3 + l**2 + l + 1. Let r be ((-12)\/(2 - 0))\/(-2) + 32. Suppose 0 = 5*j - r + 15. Suppose 5 - 9 = j*k. What is p(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 5  (b) -3  (c) 0.15  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*n = -173*n + 12*n + 103545. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*r + 407 + 1609. Let u = -164 + r. Solve -5*g = -x, 0*g + 5*g - 25 = -u*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 - 1 - 3*k)*(-4*k**2 + 2*k**2 - 5*k**2) as g + q*k**3 + y*k + o*k**2 and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -191244 and 78738.8.\nAnswer: -112505.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 5:38 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/96 and -34\/33.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 800\/3 + -5606\/21. What is the smallest value in r, 1, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1189 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 46*o + 474. What is h(30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33321 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-3))\/(186\/180 - 1). Let y be (o\/6)\/((-7)\/63). Calculate the greatest common factor of y and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3326837 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 128 = 8*n. Calculate the remainder when 295 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 106*a + 58. Let q(c) = -71*c - 39. Let x be (-3)\/(-2)*(-168)\/36. Let u(d) = x*q(d) - 5*v(d). What is the first derivative of u(y) wrt y?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 36, 62, 88, 108, 116, 106?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, -3\/2, -7, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5963 or -6068?\nAnswer: -5963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 7*s + 3. Let b be r(-7). Suppose -b*p - 365 = -8*p. Let v = 137 - p. Calculate the highest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-9)\/(-6))\/3*32 is divided by ((-18)\/(-4))\/(2\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56526600 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*b - 574 = -98*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 - -48. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-2)*((-840)\/50)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of k**8\/1680 + k**7\/120 + k**6\/20 + k**5\/6 + k**4\/3 + 8*k**3\/3 - 13. Let l(i) be the third derivative of t(i). Factor l(d).\nAnswer: (d + 1)*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -6200?\nAnswer: 6163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/11?  (a) 0.1  (b) 137  (c) 1  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -520 + 2648 = 16*d. Factor -86*u**2 + 12*u + 7 + 1 - 34*u**2 - 33*u**3 + d*u**3.\nAnswer: 4*(u - 1)*(5*u - 2)*(5*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - 10*m - 99. Is 9 a factor of p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-8)*1 + 75\/4. Suppose -v*m + 16*m - 10776 = 0. What are the prime factors of m\/(-20) - 2*(-1)\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1832\/15 - 122. Let p = -47\/84 - -5\/12. Let r = 111.8 + -112. Which is the closest to r?  (a) t  (b) p  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 12) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 116*z + 82. Let c be t(-2). Let m = c + 154. Let w(l) = -l**2 - 6*l - 4. What is the remainder when m is divided by w(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0  (b) -4  (c) 93  (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t. Let b(a) = 43*a - 2. Calculate o(b(p)).\nAnswer: 86*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 56.9 + -234.112194.\nAnswer: -177.212194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00299327408 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -745 - -745.2. Let w = -0.12 - -2.12. Let z = w + -1.7. What is the closest to -1 in z, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5\/31 + -13\/465. Let s = -95.74 - -95.54. What is the second smallest value in y, s, -0.43?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 513 - -310?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - -1)\/(1\/5). Which is the nearest to -0.1?  (a) 1  (b) f  (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 5 = -45. Let i(t) = 3*t + 36. Let q(r) = -r**3 + 10*r**2 - 15*r - 14. Let k be q(8). What is the least common multiple of i(k) and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-38)*61997\/492713?\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: d9cda (base 14) to base 15\nAnswer: a609d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-995)\/15*(-3 + 0). Let f = v - -244. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -42\/139 and -39\/11?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2112 divided by 528.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21214*a**3 - 23395*a.\nAnswer: 127284*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4*m + 2280 = -2*m, 2*s - 5*m - 1152 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from aqqqaaaqq?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of 0*u**5 + 0*u**4 + 98*u**2 - 85\/3*u**6 + 138 + 0*u**3 + 0*u. Find the second derivative of j(a) wrt a.\nAnswer: -3400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -5\/3*s**3 + 0*s**2 + 0*s - 6. Let r(k) = 7*k + 6. Let i(y) = -20*y - 17. Let u(v) = 6*i(v) + 17*r(v). Give p(u(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d**3 + 3277*d. Let q(m) = 2*m**3 - 2185*m. Give 7*k(u) + 11*q(u).\nAnswer: u**3 - 1096*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wklkkrklilkllk. What is prob of picking 1 w and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggecmgpggggegc. Give prob of picking 2 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-6*(1*sqrt(1008))**2 + sqrt(1008))*4.\nAnswer: -145152 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of p**6\/40 + p**5\/16 - 7*p**4\/32 - p**3\/4 - 11*p**2 - 9*p. Let x(b) be the first derivative of c(b). Factor x(q).\nAnswer: 3*(q - 1)*(q + 2)*(4*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 3*x + 7. Let u(a) be the second derivative of 3*a**2\/2 + 11*a. Let p(k) = -5. Let v(n) = 4*p(n) + 7*u(n). Calculate -f(s) + 6*v(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -3*c**2. Let h(w) be the second derivative of -11*w**4\/4 - 149*w. What is v(h(u))?\nAnswer: -3267*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, b: 1, f: 1, v: 3, p: 1}. What is prob of picking 1 f, 1 v, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15, -60, -133, -234, -363, -520?\n\"Answer: -14*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 25137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -10c2c (base 15) to base 16\nAnswer: -d077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 + 2*l - 6*l + 2 + 0*l**3 + 5*l**2. Suppose 4 = -2*v + 3*v. Let j be b(v). Solve -5*g = 25, j*p = -2*p + 2*g + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 7, -15, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28 - 1) + 2 + -17 + 1 + 0 + 15?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 26237874 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 55*i**2 + 59*i - 175. Determine q(56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 t when three letters picked without replacement from ootootttoototttoto.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2*p + 2*p - p)*(-617211*p**2 + 3951*p**3 + 617211*p**2) in the form d*p + a*p**3 + h*p**4 + j*p**2 + q and give a.\nAnswer: -7902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14202.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -11*w. Let b(i) = -i**2 - i. Calculate 2*b(r) - l(r).\nAnswer: -2*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 16*u - 19*u + 7, -2*j + 18 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*z - 98 + z + 95 - 15*z**4 in the form q*z**3 + x*z**4 + f*z + h*z**2 + j and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6029.236ml to litres.\nAnswer: 6.029236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**2 + 3*t - 4. Suppose 2*m - m - 8 = -2*i, -3*m = -3*i - 6. Is b(m) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f = -5*f + 3690000. Round f to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/21990 and -109\/395820?\nAnswer: 395820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + i + 0)*(-3*i + 11 - 11 + 2*i**2).\nAnswer: 2*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1124242 (base 5) in base 6?\nAnswer: 235124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5038.44 less than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Multiply 103 and -0.2093.\nAnswer: -21.5579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 465 and -0.1080939.\nAnswer: 464.8919061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 2) + -1 + 4. Suppose -5*h + 4*h = 2*b - 24, 5*h - 4*b - 190 = o. Find the common denominator of h and 3\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 7 + 2)*(0 - 2*p + 1 + 1)*(1 + 0 - 2) + (0 + 6 - 3)*(-1 - p + 1) + (5 - 4 + 1)*(-2*p + 0*p + p) - 5*p + 3*p + p.\nAnswer: -10*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18738794.\nAnswer: 2, 17, 179, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 236726131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 180 by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.5854 + 0.5854. What is the third biggest value in 162, u, 0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 57 = 2*r, -46 + 53 = o. Put -3, r, -84, 3 in ascending order.\nAnswer: -84, r, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3*p - 37507 - 31454 = 0, 4*i + 3*p = 137877. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12.96 - 13.06. Which is the nearest to q?  (a) -0.5  (b) 21\/4  (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23141558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -39*d + 1262. Determine v(33).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + -6*(sqrt(209) + (sqrt(209) - ((2*sqrt(209) + sqrt(209) - sqrt(209)) + sqrt(209))) - sqrt(209))))\/sqrt(11).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1202 and 4.\nAnswer: 4808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.019367957 times -0.1\nAnswer: -0.0019367957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 392753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5.7  (b) 0.1  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**2 - 3*d**2 + d**2)*(d + 0*d + 3*d)*(-229*d + 450*d - 229*d).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0.1  (b) -45  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 132*t - 123*t + 45 = -0*f - 2*f, 4*t + 24 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2123341 - 2123338.2300464. Let p = -2.77 + x. What is p rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (9 - (-2 + 0 - -9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1265*(64\/10 + -6). Which is smaller: a or 507?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7850 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 13 - 23 = m, 0 = -5*m - 10. Does h = -36\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 94366399 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2. Let p(j) = 959*j - 6. Let d(o) = 4795*o - 28. Let m(s) = -3*d(s) + 14*p(s). Determine r(m(a)).\nAnswer: -919681*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3540247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 236235216 - -3?\nAnswer: 236235222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -42*i + 2. Determine x(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from zczzcbhhzchbczz?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.2 - 7.8. What is the second smallest value in 2.8, j, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b + 5 + 8*b + 0*b. Let f(j) = -20*j - 18. Let l(o) = -20*o - 17. Let r(s) = 3*f(s) - 4*l(s). Determine 5*r(m) - 14*v(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 186*j**3 - 6*j**2 + 18062*j wrt j?\nAnswer: 1116*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7297*d**6 - 110*d**2 - 12*d - 2?\nAnswer: 875640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 175027, 700065, 1575115, 2800177, 4375251?\n\"Answer: 175006*s**2 + 20*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 0 + 30 = 0. Suppose 0 = -g + o*g. Round g to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + q - 76 = 0, -925 = -s + 3*q - 928 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 18 = 3*c - 32, -4*n = 3*c + 2. Let j be 3*(-4)\/6*-10. Solve -17 = 5*r + c*x, 0*x = 5*x - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1001*q - 978*q - 1012. Calculate the smallest common multiple of q and 744.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58 - 55. Suppose -3*m - 14 = -w, 4*w - 34 = 4*m - d*m. What is the lowest common multiple of 84 and w?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 0.4  (c) -7  (d) -1  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/(-52) + -1 - 7\/(-39).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25*q + q + 2*q + (2 - 5 + 1)*(2*q - 2 + 2) - 2*q + 3*q - 4*q + 1 - 1 - q + (5 - 3 - 4)*(-1 - 2*q + 1) + q + q - 3*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of i**3*s**2 - 65827*i**3*s - 76*i**3 + 36*i**2*s - 3*i**2 - 7*i*s**2 + 23*i*s - 3*s**2 + 21*s wrt i.\nAnswer: 6*s**2 - 394962*s - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/4)\/((-4)\/1000). Calculate the greatest common divisor of j and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*6*((sqrt(1377) - (sqrt(1377)*4 + 5 - sqrt(1377))) + (sqrt(1377) - (sqrt(1377) + sqrt(1377) + 0)) + 5))**2.\nAnswer: 16061328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.0632138 to 3 decimal places.\nAnswer: 5.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 241380 to the nearest 1000.\nAnswer: 241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2403.8 and 25.51.\nAnswer: 61320.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yynyyyyntyytyy. Give prob of picking 1 t and 1 y.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 380*k**4*y + 834*k**2*y + 6652*k + 15*y + 3 wrt k.\nAnswer: 4560*k**2*y + 1668*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -7 + 20 - 26*j**3 - j**2 - 4 - 8. Let p be (-2 + 3)*3*(-8)\/24. What is v(p)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, 427, 1375, 3221, 6265, 10807?\nAnswer: 17147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 17*a**2. Let m(c) be the second derivative of -c**4\/12 - 161*c. Calculate h(m(r)).\nAnswer: 17*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/14 and 91\/597486.\nAnswer: 4182402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 105 = 34*n. Which is the closest to 1?  (a) 1\/3  (b) -0.09  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10303 - -72125\/7. Which is the closest to -3\/2?  (a) -0.2  (b) 2  (c) 2\/89  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(3\/((-6)\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -3942, 94 in ascending order.\nAnswer: -3942, -5, -1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 40  (b) -6\/13  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -420\/4116263 or 1?\nAnswer: -420\/4116263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96 - 32 = -16*o. What is the remainder when 398 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -5  (c) 2  (d) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -3\/8, 1347, -55?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5*(-30)\/90?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16750000 is divided by 18778.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 0*v**2 + 0*v + 1\/3*v**3 + 0 - 1\/3*v**5 + 0*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 4 = 2*x - 3*x, k + 5*x = -20. Suppose -2*r - 3*c = k, -3*r + 16*c = 13*c - 30. What is the nearest to r in 2, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -4 + (-1 - -4) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p. Suppose 15*c = 185 - 20. What is the remainder when c is divided by r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2286 - 2274) + -24 + -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + 0)*(-5)\/10. Suppose l - 159 - 134 = i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -737242, -737240, -737238, -737236, -737234?\n\"Answer: 2*y - 737244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of -31*a**6\/60 - 35*a**3\/3 - 61*a**2\/2 - 43*a. Let h(l) be the first derivative of f(l). Differentiate h(n) with respect to n.\nAnswer: -186*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3825, 15323, 34489, 61323, 95825, 137995, 187833?\n\"Answer: 3834*m**2 - 4*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/15)\/(2\/(-12)). What is the units digit of -1 + 28 + (-2)\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2*a + 8, 2*w + w - 3*a = 42. What is the remainder when 10 is divided by ((-10)\/6)\/((-4)\/w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/sqrt(176))\/sqrt(6).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6626 + -18316?\nAnswer: -26043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, e: 2, p: 4}. Give prob of sequence oo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3a + -240509?\nAnswer: -24047a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 4*g)*(6347*g**2 - 731*g**2 + 15364*g**2) to r*g + l*g**2 + z + q*g**3 and give q.\nAnswer: 83920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4774513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -135.412046 rounded to 1 decimal place?\nAnswer: -135.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1753\/9 equal to -0.226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -47 and -4097652.\nAnswer: -4097699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 (base 6) in base 2?\nAnswer: 1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37317, -1, 2 in decreasing order.\nAnswer: 37317, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -11682365221857 less than 0.4?\nAnswer: 11682365221857.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, -9 in decreasing order.\nAnswer: 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 - 2*z**2 + 2*z - 2. Let u(l) = -6*l**3 - 11*l**2 + 11*l - 11. Let o(m) = -6*m**2 + 43*m - 9. Let c be o(6). What is c*j(x) - 6*u(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*k + 10. Suppose -4*y + k*x + 121 = -y, -4*y = -4*x - 168. Let b(c) = 2*c**3. Calculate the remainder when y is divided by b(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t - 5*t - 24 - 17*t + 37*t.\nAnswer: 9*t - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 106861 and 460058.\nAnswer: 566919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k + 2*t - 4, -110*t = -142464*k + 142469*k - 430 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.03292 + 0.06708. Let z = 23\/60 + -2\/15. Sort -2\/9, 4, z, k in increasing order.\nAnswer: -2\/9, k, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/834306 and -9\/121.\nAnswer: 9177366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2*z**2 - 2563276*z + 2563276*z.\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of 899*p**6\/120 + 455*p**4\/6 + 2*p**2 - 2007*p. Find the second derivative of w(g) wrt g.\nAnswer: 5394*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 368 = -5*s, s = 8*y - 4*y + 66. Calculate the lowest common multiple of s and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f**2 + 11*f - 12. Let b be y(1). Solve -k = -j + 2 + 1, 2*j + b*k - 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1191*b - 2860 + 3726*b + b**3 - 195*b**2 + 4*b**3 - 8125 = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37696 by 5.\nAnswer: -37696\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47729 - 165578 - 184961 = -3404*w. Let q = 129 + -79. Calculate the remainder when w is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - z + 2*u + 26, 7 = -z - 4*u. Suppose 269 = -z*m + 9. Let o = m + 137. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + 8*q - 112. Determine o(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1564 = 1949*v + 50010 + 28335 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (177\/(-15))\/((-888)\/40). Let o = 521\/296 + r. What is the common denominator of 23\/15 and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 541 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2231042121 (base 5) in base 13?\nAnswer: 103c860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18684 and 1362548.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + (-1 - -2) + 13 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -3*u**3\/7 - 115587*u**2 - 6472701*u\/7 - 809085 = 0.\nAnswer: -269695, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144 and 975728?\nAnswer: 8781552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -398 + 400. Suppose 0 = -3*s - 5*d - 16, 0 = -4*s - d + 3*d - 4. Which is the closest to 1?  (a) 1  (b) q  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 3 - 2*z)*(2 - 3 + 4).\nAnswer: -6*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -928\/3?  (a) -2  (b) 0.3  (c) 0  (d) -4  (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -822*l = -780*l + 403 + 143 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from egmoggeogmgg.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnqnnqtnn.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1686, 1678, 1660, 1626, 1570?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3.919 and -0.55773.\nAnswer: -4.47673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1493*s - 1163*s - 3300 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 10*j**2. Let y(z) = 12*z. Let g(f) = 3*f. Let n(m) = -21*g(m) + 5*y(m). Let o(p) = 4*p. Let x(b) = -5*n(b) - 6*o(b). Determine x(t(r)).\nAnswer: -90*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*m**3 - m**3 + 3*m**3 - 20*m**3 - 2303 + 2303 + 2*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(192))*-4 - 2*(1 + sqrt(192)))**2*6.\nAnswer: 1152*sqrt(3) + 41496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20665341 or -20665340?\nAnswer: -20665340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1754 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/315 and 74\/3591?\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = u - 8, -3*c - 20*u - 6 = -21*u. Sort -93, c, 1.\nAnswer: -93, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**4\/4 + 33*d**3\/4 + 373*d**2\/2 - 5577*d - 11830 = 0.\nAnswer: -26, -2, 26, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, i: 1, a: 5, q: 3}. Give prob of sequence vq.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h. Let y = -116 + 121. Let j(a) = 6*a - y*a + 5*a. Calculate j(o(u)).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 64\/(-10496)*(1\/(-1))\/(((-658)\/(-336))\/47)\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 7:22 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -3*n + 2. Suppose 0 = -t + 3*t + 6, 4*s + 3*t = -25. What is the units digit of b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.12 + -0.516. Let h = 0.004 - y. Which is the nearest to 2\/15?  (a) -4  (b) 3\/4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 439120 is divided by 27088?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g + 57. Let m be f(-11). Let a = m + -52. Suppose 5*n - a = -3*d, 5*d + 5*n + 16 = 76. What is the remainder when 31 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 4*n + 6. Let a = -11 + 13. Suppose 4*b + 8 = a*b. What is f(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1696, 3208, 4720, 6232?\n\"Answer: 1512*i + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 591739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2 + (sqrt(539) - (sqrt(539)*-2 + sqrt(539) + 1)))**2.\nAnswer: -84*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 20*t**2 + 19*t - 12. Is b(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 3 - x**3 + 1 + 3*x**2 - x**2. Suppose 2*i - 151 = 2*v + 3*i, 5*v = i - 388. Let o = -74 - v. What is r(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2121321140 rounded to the nearest one hundred thousand?\nAnswer: -2121300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t**2 + 21*t + 20. Let f be x(10). Calculate the greatest common divisor of 54 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 4. Let l be 3*(16\/6 - 2). Let v = 5 - l. Solve -v*k + 3 = -f, -2*m + 3*k - 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 7:00 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, f: 2}. Give prob of picking 2 f and 2 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4 + 799872*m**3 - 53311468584*m**2 - 639824011776*m - 1919558425392.\nAnswer: -3*(m - 133318)**2*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((3 - 1) + 0) - (-478 + 479)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 + (-4)\/((-80)\/(-225813)). Let j = w + 11280. What is the common denominator of (-59)\/22*-1 - 1 and j?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -378*z**3 + z**2 + 8*z + 6. Calculate the remainder when c(-1) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2959221, -5918428, -8877635, -11836842, -14796049, -17755256?\nAnswer: -20714463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 127584 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 182 and 904.\nAnswer: 82264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20110109 - -563021659\/28. Let w = -4387\/2 - j. Calculate the common denominator of w and 29\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/6 and ((-1)\/10)\/(3\/153).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*n**4 - 4*n**4 - 4 - 2*n**4 + n**3 to u + k*n + a*n**4 + q*n**2 + p*n**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 228714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 29*z**3 + 2*z**2 - 2. Suppose -8*v = -2*v - 12. What are the prime factors of i(v)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 38*d + 27. Let x be (-3)\/12 - 411\/(-12). Is l(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -25  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 151.9097?  (a) -2\/3  (b) 0.5  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-32)\/(-16))\/((5\/14)\/5). Let x = -10 - -64. Let w = -26 + x. Is w at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -4*d**3 + 7*d**2 - 6*d + 5. Let o be k(4). Let p = -1143\/7 - o. Which is the smallest value?  (a) 0  (b) -3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 23 + 26?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*z - 12*z + 84*z**2 - 28*z + 7*z - 15*z**2 to o*z**2 + j + p*z and give o.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1778120824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 299650847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6 - (2 + 4))\/(-3). Solve a = -2*p - 2*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-5 - (4 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, t: 2, n: 4, w: 4}. Give prob of sequence jtj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 37455?\nAnswer: -37450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7513377511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4524289 by -1.\nAnswer: -4524289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 12*i + 5)*(2 - 6 + 3)*(8 - 12 + 3).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239964 is divided by 4067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*y**3 + 3*y**3 + 0*y**3 - y**3 + 0*y + 0*y + (-y - 3*y + 6*y)*(0 + 0 - y**2).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2258723425.674 and -3.\nAnswer: -2258723428.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + 1*sqrt(78))*5)\/(sqrt(108)\/sqrt(2)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*c + 73 + 51 = -98 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, o: 4}. Give prob of picking 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -33344 (base 10) in base 11?\nAnswer: -23063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (56 + 108*y - 56)*(1 - 1 + 4*y) + (3 - 3 + y)*(2*y + 0 + 0) as z*y + t*y**2 + a and give t.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 - 4 + 30)*(0 + 0 - 3*v)*(3 + 0 - 1).\nAnswer: -294*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29792462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31318569.\nAnswer: 3, 42961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4*y**3 - 2*y**3 + 3 - 3*y**3.\nAnswer: -y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 - c)*(22*c + 22 - 22)*(210*c + 2*c**2 - 210*c)*(1 - 1 - c).\nAnswer: 44*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -807, -3207, -7209, -12819, -20043, -28887, -39357?\nAnswer: -51459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 6) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 2*v - 80 = 0, 15*a = 10*a - 3*v + 102. Suppose 2*r - 20 = -2*n, -n - 2*r - 3 + a = 0. Sort n, -1, -2 in decreasing order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -5*l**2 + 1. Let y(v) = -3*v + 4. Let d(h) = -56*h + 77. Let w(a) = -4*d(a) + 77*y(a). What is w(k(t))?\nAnswer: 35*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + o**2 - o - 3. Let i be (-2)\/(1 + 1) - -4. Suppose -i*y - 6 = -6*y. Suppose 0 = -5*d + x - y, 4*d - x - 4 + 6 = 0. Give w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -446 - -427. Is -34 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*2\/(-1*2). Let x = 11 + -12. Let l(j) = j**3 + 3*j**2 - 2*j - 1. Let u be l(-3). Which is the nearest to x?  (a) w  (b) u  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o**3 + 5*o - 5*o)*(7 - 20 - 36)*(-2 + 27*o - 15*o + 12*o) in the form i*o**4 + s*o**2 + t*o + n + m*o**3 and give m.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.8, 0.4, 3, -2\/9, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*((-11)\/(-3) - 3). Suppose -u - 1 + 4 = -5*y, -i*u = -5*y - 6. Let r = -1 + 0.8. What is the third smallest value in r, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15858?\nAnswer: 2, 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -5. Suppose -3*a - 5 + b = 0. What is c in -2*c**2 + 9*c - 13*c - 2*c**a = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 156093, 312189, 468285, 624381, 780477?\nAnswer: 936573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 12*r + 2. Let m be j(6). Let d(k) = 20*k + 2. Let h be d(-2). Let y be (3\/(-2) + 1)*h. Calculate the greatest common divisor of y and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29, -30, -41, -68, -117, -194?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + 5. Calculate the remainder when 100\/(-6)*(-6)\/4 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15520390*f**5 + 3*f**2 + 1412402*f wrt f.\nAnswer: 931223400*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -7*b**4\/12 - 6*b**2. Let h(m) be the second derivative of m**4\/12 - 9*m. Determine h(s(j)).\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004122 to 5 dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 342947846797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 474 - 328. Is 147 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4 - 1241716*w**3 + 96365543180*w**2 + 96366784900*w.\nAnswer: 4*w*(w - 155215)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of 5*b**4\/12 - b**3\/2 - 3*b**2\/2 - 20*b. Determine a(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -316 divided by 136273\nAnswer: -316\/136273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, u: 5, h: 4, q: 5}. Give prob of sequence huhm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-6))\/((-320)\/384).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7157\/9083 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2008413.506 rounded to the nearest one hundred?\nAnswer: 2008400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l + 3*i - 4 + 3, 0 = 2*l + 5*i + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 101313 or 101298?\nAnswer: 101313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -4. Suppose -n*j - 5*x + 364 = 0, -273 = -3*j + 4*x + x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 1364*c - 1355. Let z be b(1). Let o = 2\/2695 - -110487\/10780. Let n = z - o. Put -1, 1\/9, 1\/3, n in decreasing order.\nAnswer: 1\/3, 1\/9, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -5*d**3 + 8*d**2 - 4*d. Let l(n) = 9*n**3 - 15*n**2 + 7*n. Determine -11*f(z) - 6*l(z).\nAnswer: z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 17*i**2 - 13*i - 8. Let n(q) = q**2. Let d(h) = 6*n(h) - o(h). Determine d(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 - 0. Let r = 0.008 + -0.108. Which is the closest to 0.1?  (a) d  (b) 4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 395755 - -78956. Let x = a - 474732.1121. Let i = -21.1 - x. What is i rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**3 - 1720*w**2 + 28002*w - 26280 = 0. What is w?\nAnswer: -876, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of c**9\/60480 - c**8\/2240 - c**7\/504 - 8*c**5\/15 - c**4\/24 - 32*c**2. Let t(p) be the third derivative of u(p). Factor t(b).\nAnswer: b*(b - 10)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1978662072 rounded to the nearest one million?\nAnswer: 1979000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3010*w**2 - 1229*w**2 + 1541*w**2.\nAnswer: 3322*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3530646 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**3 + 7*m**2 + 69*m - 274. What is c(4)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142 - -272. Let o = 133 - s. Find the second derivative of -17*a - 3*a**o + 6286*a**2 - 6286*a**2 wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 5*b**2 - 6*b - 4. Let p be 7\/((-7)\/4) - 2. Let j be c(p). Let y(g) = g + 1. Calculate y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -64*m - 58*m - 488 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - -34?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.656 + -0.344. What is the nearest to -17 in l, -5, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 158 - 94 - (2 + 26).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 3\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 + 100 - 29 - 563*k - 35 - 606*k + 1161*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -1 - 1\/5*j**5 - 1\/4*j**4 - 2*j + j**3 + 1\/2*j**2. Factor b(d).\nAnswer: -(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1039 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: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t - 2 - 12*t + 21*t**2 + 7*t + (t**2 + 3*t**2 - t**2)*(-1 + 1 + 4))*(0*t**2 - 2*t**2 + 4*t**2).\nAnswer: 66*t**4 + 2*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1196)\/(-13)*((-1767)\/1116 + (-1)\/(-3))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 6*j - 434 = -3*z, -389 = -3*z + 5*j. Does 46 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 504 - 284. What is the first derivative of -73 - 78 + 4*y**2 + s - 98*y**2 wrt y?\nAnswer: -188*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (899 - 899 - 118*b)*(85*b - 78*b + 31*b) to n*b + k + q*b**2 and give q.\nAnswer: -4484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -r**6\/120 + r**5\/15 - r**4\/12 - r**3\/3 - 14*r**2. Let d = -1 + 1. Let m be d - (0 + -2 - 0). Give k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*k - 336 + 416 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 minus 223605631?\nAnswer: -223605679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, -73, -329, -697, -1183, -1793, -2533, -3409?\nAnswer: -4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 162 + -160. Solve -f*a - r = 2*r - 17, -4*a = -5*r + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 91398199*n**3 + 115482251*n**2 wrt n.\nAnswer: 548389194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 7:28 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 - 1)*(-z + 2*z - 3*z)*(-6 + 0 - 1).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30.049 + 0.049. Let x = v - -29. Let h be (1\/4)\/(10\/(-8)). Which is the closest to 0.1?  (a) x  (b) 2\/19  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, b: 1, i: 6, m: 6}. Give prob of picking 2 i.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.14 - 594.31\nAnswer: -594.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/240 and 79\/40200.\nAnswer: 80400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -5*x + 30, -x - 4*t = -t + 11. Suppose -3*o + 3*v = 6, 6*o - 2*v + x = 8*o. Solve 0 = -o*k - 2*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jbqqpjppqqxjbqpqbbjp. What is prob of sequence jqpp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/8633 + 12578271\/43165. Let v = i - 2889\/10. Factor -845\/2 - v*b**2 + 65*b.\nAnswer: -5*(b - 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3*(-4)\/6 - 2061\/(-873) and 35\/9.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 + -4 + 11 + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 396 divide 89837174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50118*a = -47942*a - 54400 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 260100798 to the nearest integer?\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 14) to base 3.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -6*a. Let w(m) = 239809*m**2. Determine u(w(s)).\nAnswer: -1438854*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 102467945*s**3 + 9236248*s?\nAnswer: 614807670*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 2*z - 61, 2*z + 2*z = -5*g + 67. Round g to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + i = 14. Suppose -5*t = 3*v - 10*t + 9, 0 = 5*v + 4*t + 15. Sort -2, v, i in ascending order.\nAnswer: v, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63, 120, 163, 186, 183, 148?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p + 17. Let f(k) = -k - 1. Calculate 4*f(u) + s(u).\nAnswer: -3*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 5*j + 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/1190 and -19\/279650.\nAnswer: 279650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, n: 3}. What is prob of picking 2 n and 1 m?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + (sqrt(2736)*-1 + -1)**2 + ((sqrt(2736) + 2*-4*sqrt(2736))**2 - sqrt(2736))).\nAnswer: -684010 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/((-16632)\/22134) + -44 - (-529)\/12?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19513 and 7391.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 876110306 - -65.\nAnswer: 876110371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) 1353  (c) 0  (d) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014440031296 rounded to 4 dps?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.2537\nAnswer: -0.5074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 6 = 5*i. Suppose -14 + 2 = i*a. Let n be 2\/(-3) - 34\/a. Solve 0 = -3*d - 9, 0*j - 25 = n*j + 5*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 127 + -126. Suppose y = -z + 6 + u, -4*z + 5*y + 1 = 0. Let o(a) = -a**3 - 4*a**2 + 3*a - 3. Let g be o(-5). Solve g = z*t + 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2 - 2*m + 1. Let h(b) = 7*b**2 + 4*b - 2. Let z(p) = -h(p) - 2*v(p). Let u(l) = -l**2 + 104. Give z(u(j)).\nAnswer: -3*j**4 + 624*j**2 - 32448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(7) - (sqrt(7) + -4*(sqrt(49)\/sqrt(7) + sqrt(7)))) + 1 + (-6*(2 + sqrt(448) + -4))**2.\nAnswer: -1144*sqrt(7) + 16270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 57.48 and 0.8521.\nAnswer: 48.978708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.306898 + -14.31. What is p rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 23*k - 15. Let w be f(4). Suppose 5*l - 97 = -2*x, -4*x + 2*x + w = l. Suppose 6 = 14*m - x. Solve -m*b = -4*c + 4, 2*c + 3 = 5*c - 4*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*m + 64 = 0, -3*m + 36 = -3*s + 5*s. Calculate the lowest common multiple of s and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 7 - 1 = 0. Suppose -i = 3*t + y*t - 2094, 4*t - 2*i = 1678. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**0*p*p)\/p)\/(p*p*(p**(-1)\/p*p)\/p)*p\/p**(2\/7)*p**(-6)*((p\/(p\/(p**(-2\/15)\/p)))**(3\/31))**34 assuming p is positive.\nAnswer: p**(-8696\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 42?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72851091*b*j**2 - 46951490*b*j wrt j.\nAnswer: -145702182*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29179?\nAnswer: 29179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, s: 3, d: 4}. Give prob of picking 3 s.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -8*o + 40. Suppose o = -5*w - d + 18, 4 = 4*w - d. Solve -7 = -l - w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 449002.\nAnswer: 2, 224501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wnuu when four letters picked without replacement from {n: 1, h: 2, u: 4, w: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4 = -3*m, -x = 4*m - 15. Let y = -13 + x. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2843 is divided by 278.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.455327m to millimeters.\nAnswer: 4455.327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221*v - 229*v - 215*v - 217*v - 237*v - 10 + 1122*v.\nAnswer: 3*v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1947.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 48249169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + x + 2. Let k be a(-2). Let l(f) = 5*f - 2*f + 0*f + 6 - k*f. Give l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22682 + -22679. Let i be 1138 + ((-2)\/(-1) - 0). Suppose -5*q - 868 = -f*j, 0*q + 2*q - i = -4*j. What are the prime factors of j?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of p**2 - 1\/40*p**6 - 1\/24*p**4 + 1\/3*p**3 - 1\/30*p**5 + 0*p + 0. Is 10 a factor of i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1046950 is divided by 90?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) 3  (b) -0.3  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d - 8. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.2000058 + -6.2. What is l rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 1. Let l be (2 - i)\/(-3 + 1). Suppose -2*v = 3*q - 151, -l*q - 3 = 2. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -86620 - -74634.8. Round g to the nearest 100.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/5)\/((-178)\/(-10) + 0). Let g = -398\/623 + y. Let u = -3 - -2. Is u != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -115 - -201. Suppose -5*t = 2*q - 74, 5*t - l = q + q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, t: 1, d: 2, c: 6, m: 4, z: 4}. Give prob of sequence ddtg.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 500973308 divided by -6287\nAnswer: -79684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4303 days in hours?\nAnswer: 58.3272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 50687087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 4*x + 2. Suppose -4*d + d + v = -6, -2*v + 6 = 0. Let z be j(d). Let s be z\/(-1)*(-6)\/(-6). Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27207 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13165922.\nAnswer: 2, 7, 11, 17, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 79 + -0.4\nAnswer: 78.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 7) to base 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 9 = 7*r. Solve 5*g - r*g = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (93\/(-186))\/((-1)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 5 = -f - 7 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 10, 4, 64, -3.\nAnswer: -5, -3, 1, 4, 10, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 213 = -5*w, 5*h + 102 = -5*w + 447. Calculate the highest common factor of h and 1617.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -73290 + 73289.770034. Let i = 7.23 - 7. Let p = i + n. What is p rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tlttltt. Give prob of sequence lt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**4*q*q*((q\/(q\/(q*q\/q**(2\/5)))*q)\/q)\/q)**(2\/47))**(-20\/9) assuming q is positive.\nAnswer: q**(-88\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171*f + 166*f - 2696 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -3*k**3\/2 - 2*k**2 - 8*k. What is the derivative of d(q) wrt q?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, a: 3}. Give prob of sequence aag.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 9200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.056982 times -1259.6?\nAnswer: 71.7745272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/61 + 67\/183. Let g = 2 + 0.1. Let j = -2.4 + g. What is the second biggest value in 1, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 85*k**2 + 166*k - 994. Is 14 a factor of q(-88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/410666 and 51\/31714?\nAnswer: 64474562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8827, -70828, -239117, -566836, -1107127?\n\"Answer: -8857*x**3 - 2*x**2 + 4*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 35*z - 15. Calculate i(37).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4916.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-25)\/(-15) + 1)\/((-6)\/9). Let o = 0.7 - -0.3. Let t = 3.3 - 3. What is the closest to o in j, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 139060 and 36810?\nAnswer: 1251540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*u - 25*u - 27*u - 22*u + 3*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 61, 129, 249, 439?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*p**2 - 4*p + 4*p)*(-2*p - 11*p + p)*(-2 - p + 2 + (3*p - 2*p + p)*(4 + 0 - 5)) to x*p**2 + y*p**4 + g*p + l + n*p**3 and give y.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10181 - -10110 - (-139 - -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - 17. Let m = u + 23.5. Let t = 1.5 - 2. Which is the nearest to 0.1?  (a) t  (b) -3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/(-72) + (-4)\/18)*0. Sort 3, -4, 2, g in increasing order.\nAnswer: -4, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 1310301332?\nAnswer: 1310301322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**2\/2 + 2897220*u - 4196941864200 = 0. Calculate u.\nAnswer: 2897220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 186 divide 23125752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*a = -119*a - 1189. Which is smaller: a or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5*b**2 - b + 52. Let g(y) = -26*y. Calculate g(u(w)).\nAnswer: -130*w**2 + 26*w - 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 36341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j**2 + 3*j**2 + 2*j**2 - 3*j**2 + 2*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 267 + -135. Suppose -3*m - m = -s. Suppose 3*p + 0*g - 5*g - 51 = 0, 0 = -3*p - g + m. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-22) - (-5)\/(275\/(-280)). Which is the second biggest value?  (a) p  (b) 0.4  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -63*b**3 - 17*b**5 + 72*b**2 + 63*b**3 + 4*b**5 wrt b?\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.7  (b) -1\/3  (c) -2  (d) -94062  (e) 1  (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/7, -4, -36, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/10*(-10)\/(-4). Suppose -1 = 3*c - f*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 80 + 32. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1231024130 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + k**2 + k + 6. Let n(a) = -a**2 + 3*a - 2. Let o be n(1). Let c be h(o). What is the first derivative of 3 - c*p**2 - 5 + 3 + 5 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v. Let n be t(1). Let w = 3 + n. Solve 0 - w = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198040661.\nAnswer: 7, 13, 2176271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3867190380 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 8:21 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1575)\/90*9*(-20)\/(-105).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (k + 3*k - 5*k)*(-26 - 13 + 9)*(-2 + 1 + 2) to the form c*k + h and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -183, -434, -853, -1440, -2195, -3118, -4209?\nAnswer: -5468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1079387383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -11 - -12) + -7 + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 53. Let y = -18 - h. Let o = y - 10.95. What is the smallest value in -0.3, 1\/3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 155, 227, 411, 761, 1331, 2175, 3347, 4901?\n\"Answer: 9*x**3 + 2*x**2 + 3*x + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.3, -5, -3, 0.4, -28 in decreasing order.\nAnswer: 0.4, -0.3, -3, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 43073 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 1 + 0 + 15. Let h = -9 + g. Calculate the remainder when 13 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gpgeppppg. Give prob of picking 1 e and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10781 - 10507. Solve 286*k + 36 = v*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m + 3. Let t be f(-5). Suppose -3*q + 4*v + 4 + 7 = 0, -2*q + 2*v = -6. Let n = t + q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0.1, 3, 2, -9 in descending order.\nAnswer: 3, 2, 0.1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26917*i - 96 = -5*x - 26916*i + 53834*i, -7*i + 28 = 0 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18252268 divided by 2?\nAnswer: 9126134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10383 - -10386. Let w(c) = c**3 - 7*c**2 + 2*c - 1. Let k be w(7). Let o be -3*(1 - 7\/3). Solve 0 = -o*y - k - r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -64*b + 495. Let l be k(7). Let o be 1\/2 - 162\/(-4). Let c = l - o. Solve c*h = h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/15 + 6\/10. Let c = -4 + 7. Let y = c - 2. What is the closest to y in -2, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 46590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -64*h + 185 + 427 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 4*m - 116 = 0, -n - 5*m = 3*n + 60. Let j = n - -18. Let w(s) = -s**3 - 2*s**2 - 2*s + 1. Determine w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w. Suppose -4 - 6 = -2*c. Let s(i) = -2*i - i + c*i. What is x(s(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 2 - 1 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.07  (b) -12  (c) 2\/11  (d) 5  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4*-0.10696\nAnswer: -0.42784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 11 - 3 = 3*l, -3*t - 2*l + 42 = 0. Calculate the remainder when 100\/(-3)*(-6)\/(-48)*-6 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**2. Let u(l) be the third derivative of -l**7\/1260 - l**4\/3 + 2*l**2. Let r(i) be the second derivative of u(i). Calculate r(k(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sydlsyzzm. Give prob of sequence mld.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5535 * 0.362.\nAnswer: -2003.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1556*v + 2930*v - 808 + 807 - 1399*v.\nAnswer: -25*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 396074.7ml?\nAnswer: 396.0747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/((-9)\/(-15))*-1. Suppose j - g*v - 21 = -2*j, 0 = -3*v. Suppose j*z = 2*z + 30. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*x**2 + 3)*(3*x**3 - 4*x**2 + 4*x**2) + (x**2 - x**2 - 12*x**4)*(x + x + 2*x).\nAnswer: -54*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1398276778 to the power of 1\/3, to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*b*h**3 - b*h*u - 4847*b*u**2 + h**3*u**2 + 783*h**3*u + 2*h**3 - h**2 wrt b?\nAnswer: 9*h**3 - h*u - 4847*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.4 + 4. Let j = -0.103 + 3.103. Let v = 0 + -1. What is the closest to v in k, 0, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7*x = -8. Let z be (-20)\/(-6) - x\/3. Suppose 4 = -z*t + 2*f - f, 0 = 2*t - f + 4. Solve 0 = -t*c - 5*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10263883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -186.036674 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -16 bigger than 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 5*k + 52. Let h be n(13). Let d = h - 115. Calculate the remainder when d\/((-2)\/40*-1) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -61325 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68 - (15 + 9 + (-128 - -122 - (8 + 0))).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -27*l**2 + 5*l**2 - 16*l**2. Let h(q) = 594*q - 594*q - 2*q**2. What is h(v(n))?\nAnswer: -2888*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 173488*o*p**2 + 3*o*p - 203*o wrt p?\nAnswer: 346976*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 34344\/34775?\nAnswer: 34344\/34775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50876 by 12719.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -127*y**6\/20 - y**5\/20 - 6143*y**4\/24 - 821*y**2 - 6*y. What is the second derivative of k(d) wrt d?\nAnswer: -4572*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 41 = -5. List the prime factors of (714\/4 + z)\/(3\/4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6057 + -4324. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of 4*h**5\/15 - h**4\/24 + h**2\/2 + 5*h. Let i(m) be the first derivative of p(m). Does 7 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 19\/104756?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = 593*h - 592*h. Calculate the highest common factor of 63 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0.3, -5256, -5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 98, 283, 470, 659?\n\"Answer: v**2 + 182*v - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h - 153 + 53 = 0. Suppose -f = -2*r + 25, 3*r - h*f - 22 = 18. Solve -4*a + 8 = -4*u, r = 2*u + 5*a + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) -14  (c) 5  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-30)*3\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 15 = 49. Calculate the least common multiple of v and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279164?\nAnswer: 2, 101, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 8639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) 2  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1953750 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 229 and 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 3*j - 27654, 14539 - 5321 = -y - 4*j. Let k = -54682 + y. Round k to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(720) - sqrt(720)*-5) + -5))**2.\nAnswer: -25920*sqrt(5) + 934020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ace (base 15) to base 9\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5825999 - -144?\nAnswer: -5825855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 9*i**2 - i - 5. Let s be c(-9). Suppose -4*a + 32 = 4*z, 0*a = s*a. What is the smallest common multiple of 4\/10 + 76\/10 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 0 - (-3 - -4) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 10 = -2*w, -6 = -5*w + 2*j - 0. Suppose 0 = 5*m + 5*p - 135, p = w*p - 4. Suppose -49 = -3*b + m. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2263 + 4527 + 235*o - 235*o - 2264 + 480*o**2.\nAnswer: 480*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99394916 is divided by 20231?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 523440090.\nAnswer: 2, 3, 5, 331, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4924 - 4923. Which is the third biggest value?  (a) f  (b) 2  (c) 857  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 106440 - -18?\nAnswer: 106458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c - 3*c - c + (-2 + 5 - 1)*(42 - 28*c + 16*c + 10*c) to the form a*c + j and give j.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 l when four letters picked without replacement from {d: 3, l: 3, f: 2, m: 1, a: 1, b: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24281928 and 5934.\nAnswer: 24281928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5*(0 - 2) - 3. Suppose l*g + 5190000 = 4*g. Round g to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 43911331 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -865*s*u**2 - 473*s*u + 7*u**2 - 14160*u wrt s.\nAnswer: -865*u**2 - 473*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 180010\/(-66) - (-5)\/15. Let u = 2729 + h. What is the common denominator of 83\/8 and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1936.73 times 156?\nAnswer: 302129.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 708063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 212*w**2 + 157 - 75*w**2 - 3*w**3 - w**3 - 67*w**2 - 69*w**2 + 4*w in the form f + y*w**3 + a*w**2 + n*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjwwjj. Give prob of sequence wwj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/5 + 2*p**2\/5 + 72*p\/5 - 72\/5.\nAnswer: -2*(p - 6)*(p - 1)*(p + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 798.035192 + -796.48. Let z = 9.754582 - k. Let w = -8.2 + z. What is w rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 9*u**2 - 8*u - 3. What is z(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-5 + 1) - (9 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 465 and 823215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*p**3 + 12668*p**2 - 12668*p**2 + 22 to the form u*p**3 + s*p**2 + n + f*p and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -109*p**3*w**3 - 195*p**3 + p**2*w**3 - p wrt w.\nAnswer: -327*p**3*w**2 + 3*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 20 = 0, -40 = 5*m - 0*r + 5*r. Let l = m + 6. What is the second derivative of 4*t - t**3 + 3 - l - 3*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*o - 385*o - 2*o**2 + 190*o + 6*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 135.41628*-3.\nAnswer: -406.24884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 10\/7*w + 8\/7*w**2 + 4\/7 + 2\/7*w**3 = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/5*5\/3. Suppose 5*s - 16 = h*f, 4*f + 0*f + 3*s - 20 = 0. Differentiate -5*l**2 - 3*l**2 - 3*l**f - 6 + 16 wrt l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-4))\/(3\/6). Suppose -3*d + d + 2 = 0, -v*j - 2*d = 4. Is 15 a factor of 0 + (13 - j) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(2057) + sqrt(2057) + -2 + sqrt(2057) + sqrt(2057)*1*1 - (4*3*sqrt(119))\/sqrt(7)*-1)**2*1.\nAnswer: -448*sqrt(17) + 53328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (31 - 3)) + 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27918706187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 36*m + 2601, 34*m + 75 = t + 23*m + 10*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w + 144 = 15*w. Suppose -2*a = -w + 76. What is the closest to 3 in a, -5, -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 42*f**2 - 13*f + 549. Calculate the lowest common multiple of q(42) and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**4\/2 - 19*c**3\/2 - 1982*c**2 - 3922*c = 0. What is c?\nAnswer: -53, -2, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7424*j - 1242*j + 31018*j - 533*j to the form c + q*j and give q.\nAnswer: 36667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24497 and 374.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 8*j**2 + j - 3. Let f be i(8). Suppose -f*r - 10 = -35. Suppose 5*l - 291 = 5*k + 2404, -r*l + 3*k + 2687 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 115*q**2 - 342665*q + 684870.\nAnswer: 5*(q - 2)*(23*q - 68487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of 5*q**3\/3 - 25*q**2\/2 - 27*q. What is the least common multiple of u(7) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 38  (b) -5\/4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a - 4476db?\nAnswer: -4476d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((64\/(-28))\/4)\/((-8)\/28)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 902 = 3*w, -6*a + 5*a = -w + 299. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -312 - 3*n - 131*n**2 + 4*n + 313 to the form k + i*n**2 + f*n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00308 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*c - 594 = -18*c + 98*c - 25*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(1\/2)\/o))\/o**(1\/13)*o**(2\/3)*o**(-7) assuming o is positive.\nAnswer: o**(-383\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29183 + -29175. Let g(r) = r**2 - 11*r - 8. Let u be g(12). Solve u*i = -3*w + 2*w - 4, -2*w - 5*i - p = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*z + 18*z + 0*z**2 - 16*z + 5*z**2 as d*z + r*z**2 + a and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, d: 1, x: 5, c: 1, b: 3}. What is prob of picking 1 x, 1 d, and 2 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 72564158 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5800779 by -1933593.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15*(-4)\/36 - 26\/6. Let t be 18\/4*(-44)\/33 - d. Solve t = -l + 2*l + 2*p, 0 = 3*l - 4*p + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 362*w - 342*w + 94 + 732*w. Determine r(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 661\/445 - 150\/89. What is the nearest to -1 in 0, 24, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1920806 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: Suppose t + 5*c - 8 = 0, -10 = -4*t - 3*c + 5*c. Suppose -t*l - l + 40 = 0. Suppose k + l = 2*x, 1 + 13 = 2*x + k. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*w + 15 = 162*w, -2*o + 9 = -4*o - 10*w - 3 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 5, 2\/3, 16, 3\/10, 0?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/7  (b) -3  (c) -286  (d) -3\/2  (e) 522\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f**3 + 0*f**3 + 6*f**3 - f**3 - 20*f**2.\nAnswer: -f**3 - 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, -0.2, -39.6 in descending order.\nAnswer: -0.08, -0.2, -39.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9184024925.\nAnswer: 5, 43, 8543279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/4398279 and -65\/334.\nAnswer: 8796558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 1, 5, -10\/11, 4, -74\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*b = b + 5580. Let j(o) = -o**2 - 2*o + 8. Let l be j(-11). Which is bigger: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1672 - bb?\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 7562, 15, 28, -3, -4 in increasing order.\nAnswer: -4, -3, 15, 28, 7562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 97 - 6 - (-3 + -10).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*f + 30 - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1598862, 1598864, 1598866, 1598868, 1598870, 1598872?\n\"Answer: 2*v + 1598860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24.2 - 24. Which is the closest to -1\/3?  (a) q  (b) -0.4  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 776 - 1399. Let v = -178 - d. What are the prime factors of v?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jv when two letters picked without replacement from jpjpjvpv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of i**2*s - 84*i**2 - 151*i*s + 536*i + 1017*s - 14 wrt s?\nAnswer: i**2 - 151*i + 1017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of x**6\/180 - x**3\/2 + x. Let n(a) be the second derivative of q(a). Let h(m) = -2*m. Calculate h(n(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/3728 and 59\/3728?\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2fa40 (base 16) to base 11.\nAnswer: -123677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + (3 - 1 - (-7 - -11 - 1373188)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 112*z - 278. Let x be p(-9). Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1380, 3, 1, 6 in increasing order.\nAnswer: 1, 3, 5, 6, 1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -31628239 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffvlgna. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*h - 170 = 0, -5*h - 58 - 105 = -3*w. What is the highest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 + 394 = 10*y. Suppose -5*n - y = 4*j, 0*j + j + 3 = n. Suppose 3*p - 3*h + 27 - 6 = 0, -5*h = 3*p + 37. Is p bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13352*a**4 - 41*a**2 - 636746*a wrt a.\nAnswer: -160224*a**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 787*q**2. Let z(b) = 2563*b + 2559*b - 5124*b. Give k(z(y)).\nAnswer: 3148*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1937 a factor of 41356887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 40804990319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 14*y**2 + 1475*y + 445. Calculate o(-105).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and -155609.\nAnswer: 1556090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-48)\/(-8) - 11)*(2 - 1). Let w be (80\/(-50) - b) + 3\/5. Solve -3 = w*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -24*w - 284. Let n be u(-12). Suppose 4*y + 16 = 5*d, -16 = -n*d + d + 4*y. Factor 0*z**3 + 0 + d*z - 3\/4*z**4 + 0*z**2 - 3\/4*z**5.\nAnswer: -3*z**4*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zo when two letters picked without replacement from ozyoxpnnz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) - (5 + -2*sqrt(245))) - (2*sqrt(245) + 2) - (-4 + (sqrt(245) - -1*sqrt(245)*3)))*2)**2.\nAnswer: -3136*sqrt(5) + 62916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.217 + -1.217. Suppose 3*t - 4*m - 2 = 0, 0*t - 3*m = -3*t. Sort t, 2, g, -5 in ascending order.\nAnswer: -5, t, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2243574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -3*s + 117753, -67*s - 2*w - 117755 = -70*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59429309789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - 7004076?\nAnswer: -7004073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-92)*(-8)\/(((-168)\/(-60))\/((-35)\/(-50)))\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -172b + -13?\nAnswer: -1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180849947?\nAnswer: 180849947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a**2 + 1. Let w = -161 - -163. Give k(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 7*h. Suppose -3*b + 3*w + 84 = h, 0 = -b - w - 4*w + 46. Suppose 8*n = b + 1. Solve k - 2*k = -n*u + 16, 5*k - u = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6097 is divided by 1462?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*m**4 + 318661*m**3 - 524781326*m**2?\nAnswer: 264*m + 1911966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.08*-8.3\nAnswer: -0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62023903?\nAnswer: 317, 195659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45804 is divided by 762.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 1, v: 3, l: 2, b: 5, c: 8}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*i + 8 = 0, -2*i + 8 = o - 3*o. Put -33, 6, o in increasing order.\nAnswer: -33, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a**2 + a + 7. Suppose 4*p + 31 = 23. Let q be j(p). Let r = 2.1 + -2. What is the nearest to -1\/4 in -1\/6, r, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*z - 107*z = 28420. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*n**3 - 504 + 70*n**3 + 124.\nAnswer: -3*n**3 - 380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*l - 495 = 78*l. Let k = -42 - -44. Let o be 1*(2 - 1) - -2. Put l, k, o in increasing order.\nAnswer: l, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 27. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 563 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 2:47 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 13 = -q, -q + 4*n = 31 - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4060)\/4200 - 3\/(-10))*30\/4. Let c(q) = 14*q**2 + 5*q - 2. Let g(t) = -21*t**2 - 7*t + 3. Determine l*g(b) - 7*c(b).\nAnswer: 7*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 2 + 0)\/((-18352)\/(-527) + -35).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 949653582 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a1 + -3?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((16\/40)\/((-150)\/5875))\/(6\/(-72)*4)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g - 8. Let h(u) = 5. Let s(m) = 6. Let p(r) = 5*h(r) - 4*s(r). Let y be (-1*2)\/(-2 - 0). Calculate y*j(b) + 6*p(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d*h**2*v - 14*d*h + 12*d*v - 1305*h**2*v wrt d?\nAnswer: h**2*v - 14*h + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3 - 3 = 3*v, v = -4*r - 2. Solve -4*u - u = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2\/21, -2.4, 0.05, 4\/39 in decreasing order.\nAnswer: 4, 4\/39, 2\/21, 0.05, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 4*p - 125, 4*p - 96 - 30 = -2*m. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000016952338 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8860, -0.4, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-12 + 2) - (-25 + -10) - -10?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3b - -12d62?\nAnswer: 12d25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 - 14. Let y(m) be the first derivative of 2\/3*m**3 + 0*m**4 + 0*m + 2 + 2\/7*m**7 + 0*m**5 + 0*m**2 + 0*m**q. Find the third derivative of y(v) wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sqsy when four letters picked without replacement from {j: 4, q: 2, f: 1, y: 1, n: 1, s: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187362*l + 187551*l = 7371 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13*o - 6*o - 22*o)*(-2 + 5762 - 357)*(1 + 1 - 1) to q + p*o and give p.\nAnswer: -81045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**9)**(-2\/5)*w**(-6\/13)*w*w*w**16\/w assuming w is positive.\nAnswer: w**(163\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(288) - (sqrt(288) + -1 + sqrt(288))**2) + sqrt(24)\/((-2*sqrt(120) - sqrt(120))\/sqrt(10)))*5.\nAnswer: -34590 + 5395*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-3 - (8 - 5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + -15 + (32 - 11 - -36)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*(-57)\/5*(-45)\/(-27).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41099\/6 + -6865. Let l = 0 + 120. What is the common denominator of (-1407)\/l + 3\/5 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13318.929 - -13388.8. Let t = u + 0.129. Let y = 75 - t. Put -0.4, -3, y in descending order.\nAnswer: y, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-60*b**2 - 52*b**2 + 1901 + 114*b**2)*(-b**2 + 2*b**2 - 2*b**2) as h*b**2 + c*b**4 + r + g*b**3 + i*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 124 and 16?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -10*y + 20. Is 13831 + (34\/y - 3)*-5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 + 8*b**2 + 7*b + 5. Let k be v(-7). Let q be k - (9\/(-1))\/(-3). Calculate the remainder when 27 is divided by (3 - -3) + q\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 93*r**2. Let u(p) = -43226*p. What is m(u(f))?\nAnswer: 173769298068*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*v = -4*v - 36 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 29*r - 9. Let i be 3 + 12\/(-3) + -2. What is the remainder when o(4) is divided by (-436)\/(-20) - i\/15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 14074915?\nAnswer: 112599320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/414 and 53\/7824462?\nAnswer: 23473386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 297192 is divided by 4307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(234)*3 + sqrt(1274)*-5)\/((sqrt(70)\/(sqrt(21)\/sqrt(3)))\/((sqrt(240) - sqrt(15))\/sqrt(3))).\nAnswer: -78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 AM and 12:34 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -481602325 and -51.889.\nAnswer: -481602376.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -0*p - 3*m + 10, 0 = -p + 5*m - 14. Let i = p + 1. Find the second derivative of -3*y + 3*y + 2*y - y**i wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {f: 1, x: 1, r: 1, d: 1, t: 9, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1392424 = -68*r - 20*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -17.211054 and 5.\nAnswer: -86.05527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*n + 180 = 32*n. Suppose 40*y - 296 = n*y. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6582 = -240*f + 3462 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**3 - 376*s**2 + 2 - 384*s**2 + s**4 - 4*s + 754*s**2 as z + x*s + l*s**2 + f*s**4 + q*s**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 5  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5 - -8)\/((-3)\/(-4)). Suppose -122 = -a*q - t - 38, q + t - 24 = 0. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of -l**6\/120 - 11*l**5\/20 - 31*l**4\/12 + 368*l**2. Factor j(h).\nAnswer: -h*(h + 2)*(h + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27*a**6 + 3*a**3*f + 16*a**2*f - 24*a**2 wrt a.\nAnswer: -3240*a**3 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4812.765 days to microseconds.\nAnswer: 415822896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18\/13 in -4, -0.2, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -1 and 80842.\nAnswer: 80841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2442 - 2?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4 - 4 - 2*x**2 + x**2. Let m(p) = -p**2 + p + 1. Let a(v) = 4*v**2 + 6*v + 6. Let b(z) = a(z) - 6*m(z). Give b(k(c)).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 1:17 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zuyyyuyyyuyzu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3641960023 to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 437, 875, 1313, 1751, 2189, 2627?\nAnswer: 3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 3*m - 5*m)*(382 - 382 + m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1578 (base 12) to base 9.\nAnswer: -3432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4 - 6 = 0. Let f(q) = -20*q**2 - 15*q + 32. Let s(x) = -7*x**2 - 5*x + 11. Let v(n) = 6*f(n) - 17*s(n). Determine v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -64363052 by -206.\nAnswer: 312442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 472077, 944131, 1416185?\n\"Answer: 472054*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 7*h**2 + 3*h + 56. Determine r(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10850 + 10849.9992453. What is h rounded to five decimal places?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/(-80)*136\/(-85))\/(3\/(-162)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 12) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1211 + 0.2789. Which is the biggest value?  (a) g  (b) 12  (c) -2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -0.064.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48840, 97702, 146590, 195504?\nAnswer: 244444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 104*x**3 + x**2 + 92*x - 5 wrt x?\nAnswer: 624*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3*a + 5. Let q(d) = 1. Let h(n) = -6*q(n) + u(n). Let o be h(-1). Let y = -1 + o. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, f: 2, h: 1, j: 2}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 - 8\/2)*-1. Does 33 divide ((f - -1) + (-48)\/(-3))*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = 5*f - 27. Suppose 0 = -4*t - 5*z + f, 5*t = 6*z - 3*z + 19. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.4 - -0.6. Let q = l + -0.8. Let m = -3.7 + -0.3. What is the third smallest value in m, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22649653 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334 is divided by 122.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 6*t. Let p(h) = 323*h + 4. Calculate p(v(f)).\nAnswer: 1938*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**3 + 4*k**2 + k - 2. Let m(q) = -32*q + 1 + 4 + 30*q - 5*q**2 - 6*q**3 - 6*q**2. Give 4*m(s) + 11*p(s).\nAnswer: -2*s**3 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*g + 28 = 0, -4*n + 2*n = 4*g - 4. Let a be 3\/(2 - (-10)\/n). Let p = 11 - 7. Solve -a = p*i - 25 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -760*s + 423*s + 435*s in the form q*s + a and give q.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2551*h**3*u*x + 105*h**2*u*x - 2*h**2 + 3*u*x wrt h?\nAnswer: 15306*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40012, 40009, 40006?\nAnswer: 40003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3030\/(-315) - 2\/(-7)) + 0. Do -10 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -527, -1187, -1843, -2495?\n\"Answer: 2*o**2 - 666*o + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 3344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18334 is divided by 1660?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*l**4 + 46151*l**3*v + l**2*v - l*v + 21*l - 72809*v wrt l.\nAnswer: -120*l**2 + 276906*l*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1217.8 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-37613)\/(-7) - (-8)\/(-28). Let r = 43039\/8 - o. Calculate the common denominator of r and -25\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -448, -477, -524, -589, -672?\n\"Answer: -9*w**2 - 2*w - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -3*v + 3, -2 = 4*i - 2*i - 3*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 7 - 2 = 5*m, 7 = 3*w + 5*m. Let z(o) = 5*o**3 + 2*o + 1. Calculate z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m. Suppose 0 = 3*d - 8*d + 10. Let t(a) = 0 + 6*a - 1 - 5 + a**d. Let j(i) = 2*i**2 + 13*i - 13. Let h(n) = -6*j(n) + 13*t(n). Calculate q(h(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*z = 137 - 85. Solve -11*v - z = -12*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 12 = 5*u. Suppose 0 = w - u*w + 6. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11565644 + -2?\nAnswer: -11565646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43516 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 115613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -1  (b) 5  (c) 6  (d) 1\/4  (e) -199\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/60*15 + 22 + 3\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 2\/7  (b) 5\/2  (c) 0.07  (d) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 5*a - 1. Let r be x(-6). Suppose -3*t = -6*g + g - 8, 4*g + 9 = r*t. Let b(v) = 3*v**2 + v. Let h be b(t). Let q(f) = 2*f - 1. Give q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u = 5*c + 60, 14*c = 5*u + 11*c + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 18*g**2 - 8*g + 9. Let r be k(8). Suppose 6*v - r = 63. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -148, -3\/7, -484, 3?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*h + 9 = 2, 4*b + 5*h - 17 = 0. Suppose 4*y - 5*q + 4*q = -b, -3*q - 10 = 5*y. Which is bigger: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (16\/14)\/(-12 + (-2408)\/(-196)). Solve -2*g - 2*y = 16, 5*g + t*y - 8 = -44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0464492 and -0.076658.\nAnswer: -0.1231072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -4 + -5 + (-8 - (-5 - 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.72*-33.2\nAnswer: 23.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 22, 205, 700, 1663, 3250, 5617?\n\"Answer: 26*m**3 + m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -305 - -385. What is the greatest common divisor of 200 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -4*u**3 + 3*u**2 - 4*u - 2. Let j(m) = m**3 - m**2 + m. Let n(r) = -b(r) - 5*j(r). Let w be n(0). Solve 0 = -w*o - 1 + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 9711696?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 90 - 46. Let s = 20164 + -20019. What is the remainder when s is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 289*p + 42*p - 603*p + 277*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18915 - ((-4)\/(-2 + 18\/12) - 7).\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {w: 6, i: 4, n: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zgg when three letters picked without replacement from {d: 2, z: 2, g: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*378.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 113 and -0.281.\nAnswer: -31.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (52\/8073)\/((-1376)\/(-18576))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 30*g - 21737 = -21403, -34 = -5*p + 4*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (162 - 79 - 85 + 2*p**2)*(4*p - 4*p + 9*p**2) to q*p**4 + x*p + w*p**2 + s + f*p**3 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 0.02128\nAnswer: 5.02128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 309 and 3116361?\nAnswer: 320985183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-576531)\/(-3013))\/(-27) - 2\/(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*q + 58 = -12, -98 = -4*w - 2*q. Put -2, w, 2, -1 in descending order.\nAnswer: w, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.045 + 1731.\nAnswer: 1731.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 623029 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*a**3 - 1299 + 1299 - 6*a + (-5*a**2 + a**2 + 2*a**2)*(-2*a - 1 + 1) in the form f + t*a + y*a**3 + m*a**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4200751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 3195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 90b1 - -341?\nAnswer: 9412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -43428898 divided by 6\nAnswer: -21714449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21282373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 2*q**3\/3 - 9. Let j(m) = -2*m**2 - 1. Let w(p) = 6*p**2 - 2. Let c(z) = -5*j(z) - w(z). Give c(s(y)).\nAnswer: 16*y**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/sqrt(144) + 1.\nAnswer: sqrt(2)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 126 = 15*g. Suppose 0 = 4*o - w - 3*w - g, 8 = o + 2*w. Let m be o\/(-16) - 2\/(48\/(-14)). What is the nearest to -1 in 1\/2, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 7*z - 368 = -19*z - 67, z - 57 - 6 = -r for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -137.25 + 137.82025. What is l rounded to three decimal places?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -335, 0, -2, -1 in increasing order.\nAnswer: -335, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dngdnjjgzjznzc. Give prob of picking 1 g and 1 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/93 and 157\/1706502?\nAnswer: 52901562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*h + w + 4307 = 0, 2*h + w - 1727 = 0. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -205 at most -198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (25 - 57572\/4107)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -18  (b) 0.5  (c) -0.06  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 817*b = 290*b + 3162 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12157 + 17447. List the prime factors of g.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 + 5*c - 4. Let q be h(-7). Let o be 12\/15 - (-2)\/q. Factor 3\/2*x - 1\/2*x**2 - o.\nAnswer: -(x - 2)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1068 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y + 1. Let l be z(-3). Let a = 12 + l. Solve 0 = -3*v + 4*v - a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c + 5*c**3 - 38*c**3 + c - 20*c**3 in the form k*c + y*c**3 + j*c**2 + v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 11:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 282.12 and 0.2?\nAnswer: 56.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -5. Let d(v) = v**3 + 4*v**2 + 2*v + 3. Let o be d(g). Suppose o = 3*k - 24. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1192 or -322?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.304179 tonnes in nanograms?\nAnswer: 304179000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 32 = 42. Suppose 0 = 3*o - y*o - 356. Suppose -3*w + 4*j + 113 = -248, -5*j - o = -3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l = -3*b - 10*l + 12, -4*b = -l - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 + 8*u**2 + 5. Let i be k(-8). Suppose 5*l - 10 = i*h, 13 + 19 = l + 5*h. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 141*q + 1301 - 314 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9466 is divided by 1889?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 38\/57 + 4\/(-6). Suppose l = -2*q + 3*q - 2*w - 29, 0 = q + 3*w - 19. Solve -3*c = 2*c - q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 69 + (50\/(-35))\/(4\/(-14)). Suppose w*a = 72*a + 384. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**2 - o**2 + 7*o**2)*(2*o - 24*o + 4*o)*(-1 + 5 - 2)*(0 - 2 - 5)*(-7 + 0 - 4)*(0 - 4 + 2).\nAnswer: 11088*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -995 (base 10) to base 3\nAnswer: -1100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 309692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -5*i + 89, -4*v - 2650 = 4*i - 2458 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqcxqxxqxqcrrxrxrcx. Give prob of picking 2 r and 1 q.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1381 + -472. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 860 by 4.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 10:44 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24 - 24. Suppose 145 = 5*g - 3*k, p = -g + k - 3*k + 29. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1960*m = 4385*m - 98323 - 9542 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(2)*1 - (2*sqrt(2) + -3).\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42630 and 6205710.\nAnswer: 43439970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -5483536, -5483535, -5483532, -5483527?\n\"Answer: b**2 - 2*b - 5483535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 5\/11  (b) 0.1  (c) 2  (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 1324 = -5*r. Let d = 503 - r. Let b = -1905\/11 + d. Find the common denominator of b and -19\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/(-4560)*(-551)\/(-174).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -406 times 0.02?\nAnswer: -8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 - 38. Let r be (p\/3)\/(3\/21). Let y be (1 + -5 - r) + 8. What is the highest common divisor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51425 divided by 6.\nAnswer: 51425\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8201969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -60477  (b) -2  (c) -2\/9  (d) 0.1  (e) 2  (f) -4  (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25496678 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2108 and 33116?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 8*y**2 - 4*y - 5. Let q be s(4). Let h = -13 + q. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 23*y**3 - 11*y**2 + 254*y. Let r(x) = -x**3 + 2*x**2 - x. Let j(l) = 5*r(l) + t(l). Find the second derivative of j(k) wrt k.\nAnswer: 108*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 4*d + 5*d - 13 + 2*d - 4*d**2 - 5*d. Is q(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*k**3)*(-4 - 3 + 4)*(-6 - 41 - 23).\nAnswer: -420*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -313421 (base 6) to base 15.\nAnswer: -7804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -143\/60 or -1?\nAnswer: -143\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -160591 divided by -119?\nAnswer: 160591\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5995 + 20787. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 418 and 1292.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 12:56 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) 93.7  (c) -0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001582 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1470443023?\nAnswer: 7, 83, 1181, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1403 + 342 + 3*g**2 + 464 - 2*g + 439 to the form a*g + i + h*g**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -5771?\nAnswer: 5773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(539))**2 + sqrt(1331) + (1*sqrt(1331))**2.\nAnswer: 11*sqrt(11) + 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-7 - (-4 - -6)) + 4 - -3) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/12)\/(146\/2920))\/(8\/54)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4 + -2 + sqrt(44)\/sqrt(4))*5.\nAnswer: -10*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20109 divided by -3?\nAnswer: -6703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90 + -91. Sort f, 5\/4, -2.2.\nAnswer: -2.2, f, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 395 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*1913\nAnswer: 191.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 4 = 3*g, 5*t + 0*t + 5 = 4*g. Which is smaller: t or 2\/221?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, 5, 0.5, -3 in descending order.\nAnswer: 34, 5, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 139689 and 459?\nAnswer: 419067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -83, -158, -221, -248, -215, -98?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 361, 22, 2, 0, -5 in ascending order.\nAnswer: -5, 0, 2, 22, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2802257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -27797 - 3?\nAnswer: -27800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t + 2. Let a be c(0). Is -1*(3 - a)*-191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 + 10 = 4*p. Suppose -p*a = -2*a - a. Suppose 0 = -i - a*i + 7. Solve w + 3*f = -4*w + i, -4*f - 10 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0480323 rounded to three dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3770 - 3734. What is the remainder when 201 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 588 = -3*z, 4*z - 838 + 58 = 5*s. Is z a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -118306*f**3 - 403 + 122419*f**3 - 310 wrt f?\nAnswer: 12339*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 109c - 5?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1999 is divided by 1039?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10126*o**5 - 21*o**4 + 90*o**3 - 461373907*o**2?\nAnswer: 607560*o**2 - 504*o + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(891) + 3)**2*-5 + 0).\nAnswer: -4500 - 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 302638, 302658, 302694, 302752, 302838, 302958, 303118?\n\"Answer: z**3 + 2*z**2 + 7*z + 302628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000371137 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3*q = -0*q - 9, 2*q = 2*f - 6. Solve f = -29*d - 116 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 341269 divided by -211.\nAnswer: -341269\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 414999*o - 4. Let u be m(-4). What is u rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5177544 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 1\/5  (c) 0.1  (d) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = -s + 5*s - 20, -3*s + 2*u = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3*r**2. Let o = -5 - -7. Let v(k) = -o*k + 37 - 37. Give v(f(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -3*z**3 - 5*z**2 - 3*z. Let h(k) = -2*k**3 - 4*k**2 - 2*k - 1. Give 5*h(o) - 4*x(o).\nAnswer: 2*o**3 + 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1170 + -1088. What is the remainder when b is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 200 and 6438950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 - 79*p - 28. Let n(v) = 11*v. Give y(n(b)).\nAnswer: -121*b**2 - 869*b - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7*f**2*y + 4*f**2 - 20*f*y**2 + 2*f*y - 147*f - y**2 wrt y.\nAnswer: 7*f**2 - 40*f*y + 2*f - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1753265 is divided by 652?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*d = 573 - 189 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 + 7*a)*(-2 + 0 - 1) + a - a + a as c + z*a and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {d: 3, x: 4, m: 2, h: 1, c: 4, w: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132066 and 348.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 10*x**2 + x + 2. Suppose 3 = -t + 10. Let q(h) = -9*h**2 - h - 2. Let o(r) = t*q(r) + 6*i(r). Determine o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(6)*6)\/(sqrt(3) + (sqrt(3) - sqrt(81)\/sqrt(3))) - (4 + (sqrt(288) - (-1*sqrt(288) + 2))).\nAnswer: -36*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**3 + b**3 - 2*b**3 + (3*b - 4*b - 3*b)*(b**2 + 0*b**2 + b**2) - 8*b**3 + 5*b - 5*b.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324283 is divided by 2725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 6*u - 4. Let a be o(-5). Let p = -2317.1 + 2420. Let j = p + -103. Put -2\/9, a, j in increasing order.\nAnswer: -2\/9, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -23*q - 2. Let x(z) = -320*z - 28. Let w(p) = 28*l(p) - 2*x(p). Let h(b) = b - 368. Determine w(h(k)).\nAnswer: -4*k + 1472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.44479392 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 32123024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 19*g**2 - g + 20. Let u be i(19). Suppose 6*k - 25 + 13 = 0. Is u equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/2967 and -83\/28638.\nAnswer: 658674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/8, -1, 4, -137\/6, -0.2, -2\/63?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*b**2 - 3*b + 5*b - 49*b**2 - 35*b**2.\nAnswer: -158*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/(-3))\/(-1 + 3). Let q(h) = 1 - 3*h + 31*h**2 + 3 - 7. Is q(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 4*r = 1 - 11, 0 = 5*b - 2*r + 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 1\/5*s**2 - 1\/5*s**4 + 2\/5*s**5 - 2\/5*s**3 + 0*s + 0 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/3360219 and 19\/3.\nAnswer: 3360219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/7)\/((p\/p**(1\/2))\/p))**(-5) assuming p is positive.\nAnswer: p**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1681991*b*z**2 + 4*b*z + 3*b + 1669*z - 21 wrt z?\nAnswer: 3363982*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2 + (1*sqrt(343))**2*-2 + -1.\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 73. What is the remainder when k is divided by 5\/5 - -12 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 5*v**2 - v - 2. Let i be w(-4). Suppose 2*z - z - 3*b = -4, -2*z = 3*b + 35. Is z at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -6*v**2 - 2*v - 4. Let m(c) be the third derivative of c**5\/60 + c**3\/6 + 29*c**2. Give 5*m(t) + y(t).\nAnswer: -t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.4 or -1\/1688?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6488317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 1555411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 497*t**2 - 1511*t**2 + 506*t**2 - 20*t**3 + 7*t**3 + 16*t**3 + 508*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136035 and 1305?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -17. Suppose 2*f = -y*f - f. Suppose 4*s - 80 = 5*j, f*s + s - 5*j - 20 = 0. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 23478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.2, -246, -1, 4, 4\/3.\nAnswer: -246, -4, -1, -0.2, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of -b**5\/20 + 7*b**4\/12 + 2*b**2 + 4*b. Let t be k(7). Solve 0 = 3*f + 2*f + d - 6, 10 = -3*f - t*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6152?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -378217293.4807103 + 378217278. Let p = a - -15.4547. Let o = p - -0.026. Round o to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + 5*r**2 - 3*r**2)*(-r**2 + 4*r**2 - 5*r**2) + 29*r + 17*r**4 - 29*r.\nAnswer: 19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y**4\/2 - 16179*y**3 + 130799088*y**2 + 1309609280*y = 0. What is y?\nAnswer: -10, 0, 16184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + 4*o - 2*o + 0*o + o + 0*o + (-o - 3*o + 5*o)*(-5 - 2 + 5))*(o + 2 - 2).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2325 and -11594?\nAnswer: 26956050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) -3  (b) -6  (c) 3  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*x + 677 - 901 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*d - 130*d - 54*d)*(-8*d - 2*d + 41 - 42).\nAnswer: 1520*d**2 + 152*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g**2 + 2*g - 1. Let m be j(1). Suppose -9 = m*c - 6*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 399 = -3*t - 18*t. Let o(q) = -q**3 - 20*q**2 - 18*q + 19. Determine o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 2182, 0, 25, -1 in increasing order.\nAnswer: -3, -1, 0, 4, 25, 2182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.285741 to 3 dps.\nAnswer: 4.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22692 + 27032. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1827*u + 3685 - 1977 + 3780 wrt u.\nAnswer: -1827","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + 1 - 0)\/(10\/360). Let p = h + 192. Calculate the lowest common multiple of p and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 966.752t in grams?\nAnswer: 966752000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uppj when four letters picked without replacement from ppuppuujjju?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -536453 (base 10) in base 13?\nAnswer: -15a238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g**2 - 4*g - 5. Let s be w(-9). Suppose -2*a + 3*r = -s, 5*a - 2*r - 76 = 401. Is 20 a factor of 21*1*(a\/15 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -368 - 131*k + 375 - 9*k**3 - 4*k**3 + 129*k to z*k + u*k**2 + c + t*k**3 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.999 - -2. Let u = 0.1 + -0.1. Let z = u + g. Round z to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 1545 - 273 = 0. Let c = a + 476. Is 33 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, s: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**4 + 3*x**4 + x**5 + x**4 + x**5 - x**4 + (x**3 + 0*x**3 - 3*x**3)*(0*x**2 + 2*x**2 - 3*x**2).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 0 - 5) + 64 + -61\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*l + 57 = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -105 divided by 64957?\nAnswer: -105\/64957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53092 divided by 31.\nAnswer: -53092\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1736546, -3473078, -5209598, -6946100, -8682578, -10419026, -12155438?\n\"Answer: c**3 - 1736539*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-1*(4 + sqrt(272)*-1 + 4))**2.\nAnswer: -64*sqrt(17) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c**2 + 4*c - 8. Let o(n) = 10*n**2 + 13*n - 25. Calculate -7*b(k) + 2*o(k).\nAnswer: -k**2 - 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2212 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 249897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.16, -2\/11, -21.3, -4, 1\/217?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 271.662 less than -0.3?\nAnswer: -271.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 75, 152, 217, 264, 287, 280, 237?\n\"Answer: -b**3 + 84*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.2  (b) -0.9  (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of 4*i + 0*i**2 - 1\/6*i**3 + 0. Let y(h) = -18*h**2. Calculate z(y(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3154, -6408, -9660, -12910, -16158?\n\"Answer: m**2 - 3257*m + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4101 + 1?\nAnswer: 4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001875455 to 6 decimal places.\nAnswer: 0.000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -4, 1\/6, -2.1268?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {s: 4, u: 2, n: 2, y: 2, t: 1, i: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 42*j - 70. Let n(r) = -12*r**2 + 7*r + 21. Let g(a) = -2*a**2 + a + 3. Let o(d) = 7*g(d) - n(d). Determine w(o(m)).\nAnswer: -4*m**4 - 84*m**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 126946 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z**2 + 2*z - 8. Determine m(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/4)\/((-8)\/(6 - -2)). What is t in -1\/2*t**4 + 1\/2*t**5 - t**3 + t**2 - m + 1\/2*t = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 184*r**4 - 135*r**2 wrt r.\nAnswer: 4416*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17754698 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 5*s**5 + 6740*s**4 + 3050760*s**3 + 473580640*s**2 + 4507436560*s + 10645984320 = 0.\nAnswer: -446, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 394852 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (884 - 873) + -66 + 8?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 52\/(-42) - 4\/(-6). Let u = -4.05 + 0.05. Let w be (-16)\/90 - 4\/(-10). Sort u, w, z in decreasing order.\nAnswer: w, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 - 2)*(d + 3*d - 2*d) + (2*d + 0 + 0)*(0 - 1 + 0) - 3*d - 3*d + 5*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -43*i + n - 213, -5*i = 78*n - 74*n + 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-54)\/(-4) - 10\/(-20). Suppose 4*a - 3*r = -0*r + 4, 3*a + o = -2*r. Let v = 6 + a. Solve -4*h - 4*l - 13 = 7, 0 = v*h + 5*l + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 3929 = -v, 108 = -2*l + 114. List the prime factors of v.\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 2:25 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2\/11, 12, -0.2 in increasing order.\nAnswer: -0.2, 2\/11, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (4 + -12 + 4) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6.1?  (a) 4  (b) 0.4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1194 is divided by 239?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 17 = 5*t, 5*u = -t - 0 + 19. Suppose -2*p + 2*m = -96, 2*p - 8*m + u*m = 84. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9576, -2, -3, -11.\nAnswer: -9576, -11, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 1)*1 + 8. Let c(a) = -3*a - 37 - 3*a + 41 - 3 + 5 + 0. Let j(i) = 13*i - 13. Give s*c(v) + 3*j(v).\nAnswer: -3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 113628 or 113837?\nAnswer: 113837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -v + 6. Does 22 divide 781\/9 + v\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9144728ug in milligrams?\nAnswer: 0.0009144728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 14, -21 in increasing order.\nAnswer: -21, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 31*h**2 - h + 2384. Let o(s) = 139*s**2 - 5*s + 9536. What is 9*i(u) - 2*o(u)?\nAnswer: u**2 + u + 2384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 119 and 28?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of -4907*b**5\/20 - 3077*b**4\/12 - 2*b**2 - 156*b + 13. Find the second derivative of y(j) wrt j.\nAnswer: -29442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9529084387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576996556?\nAnswer: 2, 144249139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1372*p + 29250 = 247*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 181.06 - 181.0608217. What is a rounded to five dps?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 13*a - 9. Let u(f) = 3*f - 13. Let c be u(9). Let z be w(c). Suppose 190 = -z*j + 10*j. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m + 15. Let k be o(9). Suppose k = -3*u - 3*h, -2*u - 17 = -4*u + 5*h. What is the smallest common multiple of 4 and u*(46 - 0) - 4\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1498\/(-3)*51\/(-34). Let q = 752 - f. Solve q*h - 2*w - 13 = 1, -w = -h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 214433*g - 215007*g + 20090 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -332, -2501, -8310, -19553, -38024?\n\"Answer: -299*n**3 - 26*n**2 + 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iecccwicccci. What is prob of picking 1 e and 1 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p + 14. Let n be l(-16). Let z be (3 + 12 + -14)\/(n\/(-64)). Solve 6*r + z = 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 15. Let j = -16177\/3 - -5318. Let y = -73 - j. Is s at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*w + 69*w**2 + 63*w.\nAnswer: 69*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/10)\/((-2793)\/(-372400)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19272, -38358, -57446, -76536?\nAnswer: -95628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10\/20 - 1623\/(-6)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + -2 + 2 + 3. Let r be ((-5)\/10 + 0)*f. Solve r - 1\/2*z**2 + 13\/4*z**3 + 0*z = 0 for z.\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 4*q**3 + 1 + (-q**2 - 2*q**3 + q**2)*(0 + 1 + 0) - q**3 + 0 + 0.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 781 in 0.2, -0.4, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**2 - 1681842*j + 3363680 = 0.\nAnswer: 2, 1681840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 27, 22, 7, -24, -77, -158, -273?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 3*q - 4*l, -2*q = -6*l + 10*l + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.14 + -0.14. Put x, 0.2, -1\/2 in ascending order.\nAnswer: -1\/2, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 5*p**2. Let w(j) be the second derivative of 7*j**3\/6 + j**2 + 49*j + 22. Determine w(s(q)).\nAnswer: 35*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (332\/400 - (-3)\/(-4)) + 0.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**4 + 3*h**4 - 5*h**4)*(-1 + 0 - 1) + (-h**2 - h**2 + 0*h**2)*(0*h**2 + 10*h**2 - 3*h**2 + (-3*h + 4*h + 0*h)*(-2*h + 3*h + 0*h) + h**2 - h + h).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(-2))\/(2\/3). Let q = 8 - 27. Let l = 18.8 + q. What is the closest to -0.1 in c, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -18*l**2 - 544*l - 2906. Calculate a(-25).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.048 + -0.048. Suppose 3 + 3 = 2*m. Suppose 5*l + 5*z + 10 = 2*l, 8 = -l + m*z. Which is the closest to 0.1?  (a) j  (b) l  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33 - -30. Which is the biggest value?  (a) p  (b) -4\/3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-45)\/(-5)*(-4)\/(-12)*56359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/7*-7 - (-3 - 1). Suppose -h*a = 8946 - 28891. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1389911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*n - 47304 - 18384 = 0. What is the remainder when ((-1)\/2)\/(1\/(-190)) is divided by 96\/14*n\/(-306)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmsmmsmmsssmsmmsss. What is prob of picking 3 s and 1 m?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 87605701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 745*o**3 - 40970*o**2 - 85205*o - 570 = 0.\nAnswer: -2, -1\/149, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**4\/9 - 2692*q**3\/9 + 4900840*q**2 - 87706295600*q\/9 + 51548366912000\/9 = 0. Calculate q.\nAnswer: -6176, 1610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 239148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 210312.\nAnswer: 1051560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2720, -5458, -8206, -10970, -13756, -16570, -19418?\n\"Answer: -b**3 + b**2 - 2734*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 304?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4216?  (a) 2  (b) 0.3  (c) -21  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2680.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 10 - (18 + -1) - ((-20 - -20) + -20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.19, -17 in ascending order.\nAnswer: -17, -0.1, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-19 + (-13 - -14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 3*(sqrt(2) + -1 + 5 + -4 + (sqrt(90)*1)\/sqrt(5))**2*3)*-6.\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 0 - 8. Let l = -4 - h. Solve -v = 4*o - o + 7, 5*o = -l*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 709, 1420, 2131, 2842, 3553?\n\"Answer: 711*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1202 + 1230 - (2 - (-75 - 0))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 9:41 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 9001 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18 - -23. Let b(r) = 15*r - 28. Calculate the remainder when b(u) is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17441\/46106 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or 224?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 9 + 6 = 0. Suppose 0 = c - f - 13. Suppose 0 = 19*s - c*s - 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x. Suppose 2*g - 1 = h + 19, 4*h - 28 = -4*g. Let n be 8\/36 + (-2)\/g. Let l(z) = 0 + 2*z**2 + n - z**2. Give f(l(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 30424899.8816785 + -30424931. Let p = a + 43.118322. Let o = -12 + p. Round o to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 - -3. Let i(d) be the third derivative of -d**6\/120 - 4*d**5\/15 + 5*d**4\/8 - 25*d**3\/6 - 519*d**2. Is i(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 6*q + 6. Let w(l) = l + 1. Let v(p) = 2*k(p) - 11*w(p). Suppose -4*s = -s - 21. Let n be v(s). Solve -o - n = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - i**2 + 15. Let c = -18 - -20. Suppose -6*t = -c*t. What is m(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -62 (base 10) to base 5.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 598\/252*3 - (-2)\/3 and -19\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s\/s**(-3\/5))\/s)\/s**(3\/8))**(2\/17)\/((s*s**(-1\/2)*s)**(-3\/7)\/(s**(8\/3)*s**(-2\/9))) assuming s is positive.\nAnswer: s**(69217\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 32370, 32350, 32326, 32298, 32266, 32230, 32190?\n\"Answer: -2*r**2 - 14*r + 32386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q + 22. List the prime factors of h(9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 2*g + 15 = 0, m - 2*g + 1046 - 1043 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of -f**5\/20 - f**4\/4 + f**3\/3 + f**2\/2 - f. Let j be w(-3). Let a = 71\/30 + -13\/6. Sort j, 0.4, a in ascending order.\nAnswer: j, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 60353\/80460 + -2\/20115. Let v(b) be the first derivative of -c*b**4 - 18 - 1\/2*b**2 + b**3 + 1\/5*b**5 + 0*b. Determine f, given that v(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1180 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 j when three letters picked without replacement from {z: 2, r: 3, m: 1, p: 1, t: 3, j: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.124496 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-12)\/315*6\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-172 - -22) + 85 + -35.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: How many nanoseconds are there in 4446.134 days?\nAnswer: 384145977600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2131 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -4*g**3 - g + 4. Let l be (2 + -4)\/((-4)\/(-6)). Let z be f(l). Suppose 45*p + 599 - 676 = 958. Calculate the greatest common factor of z and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003305 rounded to five decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -j**6\/480 - j**5\/48 + 3*j**4\/32 + 15*j**3\/8 + 7*j**2 + 35*j. Let y(o) = 0. Calculate o.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 1:05 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n + 1. Let z(v) = -403*v - 4. What is 4*b(q) + z(q)?\nAnswer: -411*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 16  (c) 142132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 - 106*q**2 + 87*q - 9257. Calculate k(106).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 PM and 6:08 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 3:15 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kyty when four letters picked without replacement from {y: 2, m: 2, t: 2, k: 1, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 764, 5, 35 in ascending order.\nAnswer: -4, -2, 5, 35, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (24 - 19)*(1 - 0)\/(-1). Is 42 a factor of 50*y\/(3*(-1)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1562, -3146, -4730, -6314?\n\"Answer: -1584*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 4*x - 24. Let q be ((-334)\/(-4))\/(4\/x). Let o = q + 286. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 8*j - 10*j**2 + 0 + 59*j**2 + j.\nAnswer: 49*j**2 - 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*t - 31*t = 33*t + 22. Solve 4*z + 9 = -t, 4*z = -2*x - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 - -1 - (-6 + 3). Suppose b = -2*u - 0*b + 52, -u + t*b + 36 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -2*w**3\/15 - 14734*w**2\/15 - 26876662*w\/15 + 191763614\/3 = 0?\nAnswer: -3701, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 4*m + 40, -16*p + 18*p - 3*m - 9 = 0. Suppose 138 = p*j + 114. Let l = -11 - -29. What is the smallest common multiple of l and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 23 = -30 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -113521, -7, -5, 16, -2 in ascending order.\nAnswer: -113521, -7, -5, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -60 - -57. Which is the fourth biggest value?  (a) i  (b) 2\/23  (c) 4\/9  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 PM and 4:16 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 6. What is n(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29.18 - -28.98. What is the second smallest value in 448, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1094 smaller than -21599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2910 and 240?\nAnswer: 23280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 354 = -82*a + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s - 16. Suppose -8 = -2*t + 12*m - 14*m, m - 4 = 0. What is f(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -8782*y + 1167993. Give a(133).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 3*h**2 - 4*h + 2. Let s = 427 - 424. Let z(l) = 2*l**3 + 2*l**2 + 3*l - 2. Give s*z(k) + 2*w(k).\nAnswer: 4*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 5*t**2 + 65*t - 14. Let i be c(-16). Is i < 226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 + m - 9)*(0 + 2 - 3 + (-6 - 2 + 11)*(-1 - 1 + 1) + 2 - 1 - 3) to the form n*m + w and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 5:57 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 29*q**2 + 15*q + 207. What are the prime factors of j(23)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + -1. Let j be 2\/(-8) - (-3)\/12. Let n be 5 + 177\/(-18) + (3 - -2). What is the biggest value in p, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*b + 105 - 91 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 112*p + 4899. Calculate s(-61).\nAnswer: -1933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1985 is divided by 1895?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 1891*a**2 + 7715*a**2 - 1896*a**2 - 1889*a**2 - 2044*a**2.\nAnswer: -5*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1371796?\nAnswer: 2, 342949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*p + 34 = 152*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -62*m + 555. Give u(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {f: 2, a: 2, v: 3, p: 3, j: 1, g: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -11*y**3 - 665*y**2 - 300*y - 51. Give t(-60).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -886*p - 1885*p - 51887 = 372076 for p.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 AM and 5:19 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -63.975 - 1.125. Let o = -92 + 21. Let k = h - o. Round k to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 4. Let k = -55\/118 + -2\/59. Let t = -4 + 4.1. Which is the nearest to y?  (a) k  (b) 4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346283 is divided by 172301?\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -102761*d*j*z - 14292868*d*z + 7*j*z + z - 1 wrt j.\nAnswer: -102761*d*z + 7*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -4*q**3\/5 + 142*q**2 + 3286*q\/5 - 364 = 0.\nAnswer: -5, 1\/2, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1065014.5 - -0.06015?\nAnswer: -1065014.43985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (8 - 736\/(-144))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43432977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 235\/53 + -1541\/742. Find the common denominator of a and 6\/9*(-57)\/28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2400) - ((sqrt(2400) - 1*sqrt(2400)) + sqrt(2400)))\/sqrt(8) - (-2 + sqrt(3)*-2 + -5).\nAnswer: 2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -645 - 75*p + 1285 - 642 to the form o*p + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 126\/(-15)*10\/(-35) - 4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, -60, -101, -158, -231, -320?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121, -155, -189, -223, -257, -291?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*w**2 + 3*w**2 - 7*w - 13*w**2 wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -8 + 1. Let w(f) = -3*f + 1. Let l be w(r). Let q(u) = l*u**2 + 5*u + 3 - 21*u**2 - u. Calculate q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*s**2 - 561*s**3 + 13*s**4 + 561*s**3 - 25*s**2 wrt s?\nAnswer: 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35651004209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c*c**(-1)*c)\/c))\/c*c)\/c)**17 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 436754.9nm to millimeters.\nAnswer: 0.4367549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -5, -1\/4, -2\/31, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-2))\/(33 + 41559\/(-1260))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79931401.\nAnswer: 11, 7266491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87567 is divided by 1787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2719029272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2850 divided by 76.\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*d**3 + 660*d**2 - 5376*d + 12544.\nAnswer: -(d - 4)*(5*d - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*h**2 - 17*h**2 - 11*h**2 - 19*h**2 + 72*h**2 - 17*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**2*n**3*v + 2*c**2*n**3 + 156*c**2*n**2 + 2*c*n**3*v + 2*c*n - 2*n**3*v + 37*n**3 - 18*v wrt c?\nAnswer: 4*n**3*v + 4*n**3 + 312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 15, 4 in ascending order.\nAnswer: 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - (5 - 4\/(-4)). Let y(t) = -4*t - 6. Let o(z) = -3*z - 6. Let u(s) = r*o(s) + 4*y(s). What is the derivative of u(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9102236ml in litres?\nAnswer: 0.0009102236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -49 at least as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8500 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57257 = -2585*v - 94356 - 16412 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2, 6, 24, 62, 126, 222, 356?\n\"Answer: l**3 + l**2 - 6*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 432989544 to the nearest integer?\nAnswer: 20808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence psso when four letters picked without replacement from {k: 3, o: 3, p: 2, x: 2, s: 7, v: 1}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hle when three letters picked without replacement from yeebjhyybybl.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of -k**7\/70 - 3*k**5\/10 + 4*k**2 - 22. Let w(r) be the second derivative of y(r). Find the third derivative of w(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37\/6524 - -3299\/6524. Factor -n*t**2 + 6 - 1\/2*t.\nAnswer: -(t - 3)*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/11  (b) 0.4  (c) -0.082  (d) -273  (e) 0.2  (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 - 3*u + 3*u)*(-1 - 1 + 0) + 10*u + 16*u - 404*u**2 + 403*u**2 + (0*u + 0*u - 5*u)*(1 - 2 + 2)*(-21*u - 20*u + 11*u).\nAnswer: 151*u**2 + 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) 2\/5  (c) 4\/7  (d) 0.78  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.000796956659 and -28.688.\nAnswer: -28.688796956659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*k**3 - 1 + 11*k - 7*k**3 - 105*k**2 - 10*k as o*k + s*k**3 + n + u*k**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8768741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 + 3*q + 1. Let i(j) = 2*j. Let y be 6\/(-4)*32\/(-24). Calculate y*c(l) - 3*i(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -7 + 31. Let o = -448 - -457. Calculate the smallest common multiple of o and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/361550 and 83\/108465.\nAnswer: 1084650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*1.17306117.\nAnswer: 0.0117306117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 3*x**2 + 4*x - 4. Let v be (-3)\/(-2)*1*(6 + -8). Let r be -2*2\/(1*(4 + v)). Give p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(1\/5)\/s))\/(s*s**(5\/7)*s))\/(s**(-8)*s**(1\/3))*s**(-3)\/s**(-1\/9)*(s\/(s*((s\/s**(-7))\/s*s)\/s))\/s**(-2) assuming s is positive.\nAnswer: s**(-358\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 + -13 + 35 - 26) + -20.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3654*r - 3645*r - 16607 + 16607.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 261 = 5*q - 791, 3*f = -4*q + 1057. Let y(w) = -w**2 - 15*w + 6. Let a be y(-15). Suppose -5*t = -a*t + f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 5*x**2 + 16*x + 11. Give l(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.08, -3, 100\/3, 4, -278?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/32289 - -3777833\/322890. Let k = 6863513\/78 + -87995. What is the common denominator of k and c?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1548386969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/28 + 4038\/376 - 11 and 42\/2491?\nAnswer: 9964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5318?  (a) -1\/6  (b) 14\/5  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32767 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170588 is divided by 367?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-498*y - 481*y + 1233*y)*(-6*y**3 + 5*y**3 - 2*y**3).\nAnswer: -762*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z + z + 17*z**4 - 13*z**4 + 71*z**2 + 20*z**2 - 7*z**4 to the form g + c*z**4 + q*z**2 + x*z + f*z**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1568 + -1444. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194297827 to the power of 1\/3, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 166*h**3\/5 + 576482*h**2\/5 - 125028*h\/5.\nAnswer: 2*h*(h + 3473)*(83*h - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2027961 is divided by 2027948.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 15\/110*-319*(-30)\/27*(-72)\/60\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*j = -100, h + 2*j + 28 = 2*h. Calculate the remainder when 2\/(-18)*1 - (-956)\/18 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -107*v**3 - v**2 + 3*v - 4. Let u be i(2). Let k = 871 + u. Calculate the greatest common factor of k and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 PM and 6:18 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 67\/4 of a kilogram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 5*h + 66 = -0*d, -5*d + 2*h - 136 = 0. Let q be (-4)\/12 + d\/6. Let c(p) = p**3 + 4*p**2 - 6*p - 6. Determine c(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*(sqrt(1100) + sqrt(1100) + sqrt(1100) + 2 + sqrt(1100) + sqrt(1100) - sqrt(1100))*-4)**2.\nAnswer: 3840*sqrt(11) + 281744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) - (2 + sqrt(90)\/sqrt(5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1\/15 - 127\/105. Let i = 1532.45065 + -0.05065. Let f = 1532 - i. What is the third biggest value in f, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3350 + 4993. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {d: 13, k: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5166)\/1599)\/((-16)\/52).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32817900?\nAnswer: 2, 3, 5, 139, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -621*w - 623*w - 804*w + 563*w.\nAnswer: -1485*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - l**2 - l + 3. Let b be c(0). What is t in -4*t**5 + t**4 + 0*t**b + 3*t**4 + 4*t**3 - 4*t**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37464891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -45 - -526151?\nAnswer: 526104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, 584, -1, 98 in decreasing order.\nAnswer: 584, 98, 18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -532*l - 139*l + 11492 = -21387 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3376319 is divided by 36699?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l + 6. Let f be t(7). Suppose 1 = -2*v - p - 0*p, -v + 2*p = 8. Let d(b) = -b - 1. Let c be d(v). Sort -3, c, f.\nAnswer: -3, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) - (sqrt(72)*-1 + 3)) + sqrt(72))**2 + (sqrt(288) + sqrt(288)*2 + sqrt(2))**2*2.\nAnswer: -108*sqrt(2) + 6133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11684 - 4?\nAnswer: 11680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41396, -82691, -123986, -165281?\nAnswer: -206576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141309*c**3 - 281987*c**3 + 140682*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**3 - 2 + 5*g - 2*g + 0*g to the form x*g**2 + u*g**3 + j + b*g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -32391*a**3*l**3*z + 2*a**3*l**2 + 790*a**3 + 2*a**2*l*z + 5*a*l**2*z - 2*a wrt l?\nAnswer: -194346*a**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/6, -2\/21, 33.5532, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22641890 by -492215.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -306*n + 132?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 318715 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 80473 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/10 - 1236\/15. Suppose 18*r = 788 - 968. Let b = r - w. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and 1952461235.5578?\nAnswer: 1952461235.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of -x**6\/40 - x**5\/15 + 5*x**4\/24 - 25*x**3\/6 - 101*x**2. What is the tens digit of p(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 4 = -2*k, 0 = k - 3*y - y + 12. What is the greatest common divisor of 80 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 123*v**3 - v**2 - v - 87. Calculate x(0).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 31*q**2 - 31*q - 6. Let u(r) = -4*r**2 + 6*r + 1. Let d(o) = -2*l(o) - 11*u(o). Let h(g) = 36*g**2 + 7*g - 2. Determine 7*d(x) + 4*h(x).\nAnswer: 18*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 93225534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*h - 44 - 35 = 88 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6171*a - 2 - 6170*a + 2.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28333?\nAnswer: 29, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - v + 11 = 0, 3*i - 21*v + 26*v - 1 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -78, 1, 636, 0.1, 0.2 in ascending order.\nAnswer: -78, 0.1, 0.2, 1, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 1267 divide 77228718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-20)\/(-50) + (-35)\/100. Let s = 11\/20 - k. Suppose 0 + s*o**3 + 0*o**2 + 1\/2*o**4 + 0*o = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-2)*(-40)\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1068)\/(-153) - 7) + (-27430)\/64566?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -2\/3, -0.503, -54?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10042190 is divided by 10042168.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + 5 - (5 + -1). Let c(h) = h**3 - 4*h**2 + h - 2. Let z be c(4). Put -6, b, z, -3 in ascending order.\nAnswer: -6, -3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 29 + 32. Suppose r*j - v - 4*v = 106, j - 36 = 2*v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -40 - 504?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 8. Let x be 4 - v\/(2\/(-4)). What is the second derivative of -x*q + 0*q**3 - 3*q**3 + 4*q - q**3 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((x + 4*x - 2*x)*(2 + 3 - 4) - x - x + 0*x)*(-1 + 1 - x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 186*h + 776. What is p(-5)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17284868\/7 or 2469268?\nAnswer: 17284868\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 707933, 707932, 707931?\nAnswer: 707930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20158 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 79525 divided by -15905\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - -1 - 7)*(-5)\/5. Suppose 5*i - 4*t - 542 = 3*i, -1369 = -y*i - 4*t. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.94 + -1.06. What is the third smallest value in -5\/2, 4, q, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28 + (-6 - -53) + 7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/52 and -95\/9128.\nAnswer: 118664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n - 4 - 25 = 55 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8247 + -5625. Is 4\/(-22) - y\/(-22) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 1\/2, 421, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of -17*a**4\/12 + a**3\/6 + 11*a**2. Let g be p(3). Let o = -72 - g. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 20*l = -8340. Let k = -342 - l. Calculate the remainder when k is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + ((23 - 14) + 0 - 7) + -1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/7))**28)**(1\/15) assuming j is positive.\nAnswer: j**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 0\/(2 - 0). Let d = -2114 + 2367. Suppose 62 + d = t*m. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 142*x - 11. Let s be z(5). Let d = s - 346. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/180 and 127\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -846\nAnswer: 5\/846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 30 = -5*g, 4*g - 5 = -4*j + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*a - 38*a = 47 + 633 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 764 + -770. Let q = -9.958 - 0.042. Let w = -9.9 - q. What is the nearest to -2\/5 in z, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49706*k**2 - 6117*k - 4 wrt k.\nAnswer: -99412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*y - 14149 = -43*y - 6609 for y.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b - 1. Let t be l(-1). Suppose t = -z + m + 6, -3*m + m - 9 = -z. Solve -4*u - 21 = -5*r, -2*r + z = r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69826937, 69826938, 69826939?\nAnswer: 69826940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -730717737 by 4.\nAnswer: -730717737\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 10*i - 126. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2694 is divided by 722?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22100 and 2380.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -29*n + 5. Let q be z(-7). Suppose 21 = -l + 5*r, -5*l + 3*r + 8 - 3 = 0. Suppose l*v = 67 + 37. Calculate the highest common factor of q and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/20 and -7\/1860.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41591 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 196.9, 67, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**18*d**(4\/3)\/d*(d\/d**(-10))\/d**(-2\/25) assuming d is positive.\nAnswer: d**(2281\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1394 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158670387*0.3.\nAnswer: -47601116.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 39, 178, 411, 738, 1159, 1674, 2283?\n\"Answer: 47*q**2 - 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 96165 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131351852.\nAnswer: 2, 157, 209159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*i + 7*i + 5*i + i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 2029889568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of s**3 - 3*s**2\/2 + 35. Let f = 7 + 0. Let q be i(f). What is the greatest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v**3 + 26*v**2 - 18*v - 189. Determine x(12).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmxz when four letters picked without replacement from {m: 1, d: 2, o: 2, x: 1, z: 1, w: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3715559341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u. Let c(y) = -8*y**2 + 4*y + 4. Let z(s) = 15*s**2 - 7*s - 7. Let a(b) = -7*c(b) - 4*z(b). Calculate a(n(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 644.68906 to the nearest integer.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 4757 divide 1239763508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(20) + sqrt(1620)*3)\/(1*sqrt(4)*-3).\nAnswer: -56*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 11, 61, 143, 257, 403, 581, 791?\n\"Answer: 16*q**2 + 2*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3 = -17. Suppose 0 = 3*q + 2*o - c*o - 20, -3*o = -6. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 2, 3, 4 in increasing order.\nAnswer: -3, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -9. Let z(y) = -3*y**3 - 4*y**2 + 4*y - 5. Let j(q) = 6*q**3 + 9*q**2 - 9*q + 11. Let d(m) = o*z(m) + 4*j(m). Differentiate d(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/1027493 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1597*x - 1599*x - 3380 = 0. Is x greater than or equal to -1690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 4*k**2 - 8 - k**2 + 14 + k**4 + k to c*k**4 + z + j*k**2 + y*k + m*k**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4\/5  (b) -723\/4  (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 184, 366, 548, 730, 912, 1094?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 947.5197 millimeters to meters.\nAnswer: 0.9475197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -127836 by 6.\nAnswer: -21306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -9, -201, -249?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 2*l, t + 3*l = -0*t - 7. Let y be (0 + 0 + t)\/((-289)\/51). Let q(k) = -k + 13. Let j be q(12). What is the biggest value in -4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -22*p**2 + 11*p + 11. Let o(k) = 11*k**2 - 6*k - 6. Suppose -4*f - 54 = -5*d, -5*f - 216 = -3*d - 168. Give d*y(a) + 11*o(a).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 264 + -259. Suppose -3*w + 103 = -z*c, 2*w + 3*w + 2*c - 182 = 0. Calculate the remainder when w is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 89 and 623.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 636\/7 + -598\/7. What is the smallest value in 3, 3\/8, o?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 320 - 315. Is 14 a factor of (-6 + u - 55)*-13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l - 2. Let b(d) = -6*d. Give s(b(a)).\nAnswer: -12*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 - -79. Let i(a) = -a + a + 3*a + p - 2*a. Is i(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17.36 - 17. Let r = 0.24 - 0.2. Let i = j + r. Sort 1\/6, i, 1.\nAnswer: 1\/6, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.35+31569.72346574\nAnswer: 31570.07346574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10114 + 32b?\nAnswer: 10443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(77) - 2*sqrt(77))*4)\/(sqrt(175) - ((sqrt(175)*-1 + sqrt(175))*-6 - sqrt(175) - sqrt(175) - sqrt(175))).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 + -13. Let h = -9 + o. Suppose 0*s - 4*i = -h*s + 272, 0 = 4*s + i - 331. What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385*k + 2566 - 1026 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -156.24, -4\/9, 1\/7 in decreasing order.\nAnswer: 1\/7, -4\/9, -156.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, a: 9}. What is prob of sequence aa?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r - 2. Let l be u(3). Suppose 5*t = -4*i + 17, 0*t = -i + l*t - 22. Which is bigger: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c. Let u(f) = -12*f**2 + 82. Calculate u(h(j)).\nAnswer: -12*j**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1836 and 5636673?\nAnswer: 67640076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005196231692 rounded to 4 decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 3:27 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + w + 50 = 0. Calculate the remainder when w is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 138, 333, 614, 981, 1434?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -8*j - 52. Suppose -3*i = -2*y + 3, -5*i - 29*y = -24*y + 55. Determine o(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + b - 16 = 0, 2*u - 2*b = -7*b - 22. Let x = -9927 - -9932. Sort -4, u, x, 0 in descending order.\nAnswer: x, 0, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32\/2779 or 54?\nAnswer: 32\/2779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -60 + 54 + -48 + 2 + 17\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1328528 and 2000516.\nAnswer: 7724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1358895 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7*(2 + -5 - 0). Let r be 153\/j + (-6)\/(-21). Let f = -2 - r. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a + 65. Calculate the least common multiple of b(3) and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/8  (b) 1402\/5  (c) -0.4  (d) -40.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0108 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 9.0032 and -8.074501.\nAnswer: 0.928699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 3*o + 3. Let x(k) = -2*k**2 + 3 - 5*k + 2 + 0. Let p(a) = 5*d(a) - 3*x(a). Let j(y) = -7*y. What is p(j(u))?\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, p: 5}. What is prob of picking 3 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 5*f. Let u be c(-5). Suppose 582 = -755*z - 208*z + 18879. Suppose 0 = n + 4*g - 13, 25 = 3*n - 0*n + 5*g. Solve n*x - z - 6 = u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 + 3*d + 3. Suppose 713*i = 697*i + 16. Let j(a) = a**2 + a + 1. Calculate i*b(l) - 2*j(l).\nAnswer: -3*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lal when three letters picked without replacement from lvaavllal?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*p = -2909 - 1844 - 7824 - 1058 for p.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1309608 divided by 6.\nAnswer: 218268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tftt when four letters picked without replacement from tfxttttfttxfttttt.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1181149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.016 + 0.0159967. Round m to 7 dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2548160 divided by 4?\nAnswer: 637040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-832)\/(-144))\/(27\/((-11907)\/(-28))).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 94020907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 3  (c) -7618\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 20 = -19. Let f(m) = -1336*m**3 + 1. Is f(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2149, -2142, -2133, -2122, -2109, -2094, -2077?\n\"Answer: x**2 + 4*x - 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 3)*((0*c + 2*c - c)*(-1 - 3 + 6)*(-4 + 3 + 2) + (-c - 2*c + 2*c)*(0 - 2 + 0) + (0 + 2 - 3)*(-2410 + 2410 + 38*c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15194 + 25609 = -353*y - 7911 for y.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 139 = 45*q - 43*q, 4*g - q - 93 = 0. Suppose -43 = -2*l + 47. What is the remainder when l is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 7 = 2*o - 3*q, 4*q = o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10.3752 + 8.3752. Let o = 4 + -6. Let q = o + 4. Sort z, -1\/4, q, -0.4 in decreasing order.\nAnswer: q, -1\/4, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*(-9)\/(-4))\/((-699)\/(-466)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*s = 8, -2*s = -4*w + s + 32. Let d(o) = o**3 - 74*o**2 + 397*o + 748. Let p be d(68). Put w, p, 5 in descending order.\nAnswer: w, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2426 - 7254 + 2415 + 11*w**2 + 2413 - 2*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -90 + 155a?\nAnswer: 149a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12.74, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*p = 6*p - 371. Put 2, 5, p, -2 in descending order.\nAnswer: p, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of 2*c**7\/21 + 2*c**6\/15 - c**5 + c**4 + 12*c. Suppose q(d) = 0. Calculate d.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 31 and 86265.\nAnswer: 2674215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3*t - 5*f = -21, 28 = -3*t + 4*f. Let d be (t - -3)*(-2)\/6. Let i be 2*(1\/(-1) - 1). Which is the second biggest value?  (a) 0  (b) i  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 4*i**4 + 2176*i**3 + 188092*i**2 - 9814656*i + 36108864 = 0.\nAnswer: -417, -164, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25240377 and 285202.\nAnswer: 50480754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/20679573 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 7*x**2 - 6*x - 7. Let i(w) = -9*w. Let l be (-7)\/(7\/2) + 1. Let b be i(l). Suppose 0 = -j - 5*g + b, 4*j - 5*g - 19 = -58. Determine p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**2 + 151*w - 1023. What is q(68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2, 5, 18, 37, 62, 93?\n\"Answer: 3*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*c - 20085 + 24813 = -184*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 46.3 times 33\nAnswer: 1527.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -224.31 - -93.42. Let q = a - -130. Round q to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 c when four letters picked without replacement from {c: 4, t: 9, l: 1}?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 190\/11 < -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-9)*(26 - 26). Suppose v - 2*l = -3*l - 1, 0 = 2*v - 3*l - 18. Is 29 a factor of 3 + z - (-116 + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -33 - o - 7*o**2 + 8*o**2 + 125. Let r be w(0). Let p = -48 + r. Calculate the least common multiple of p and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -175*t**3 + 3065*t**2 + 2392*t**2 - 5457*t**2.\nAnswer: -175*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 4)*(3*b + b - 6*b)*(2 + 2 - 5) as v*b + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (138\/(-24))\/(2\/(-56)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of -b**5\/30 - b**2. Suppose 68 = 10*l + 28. Let x(j) = 3*j**2 + 8*j**2 + 6*j**2 - 25*j**2 + l*j**2. Determine c(x(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20811*z**5 + z**2 + 4*z + 1056.\nAnswer: 1248660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 48 = -4*x, 95*x - 97*x + 17 + 13 = -4*t for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.37 + 0.06. Let s = y - 0.43000105. What is s rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -58596*v**2 + 104521*v**2 - 54633*v**2 as o*v + c*v**2 + t and give c.\nAnswer: -8708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*p + 2*p + 4. Let x be 1\/((-1)\/2*p). Put x, 5, 2 in increasing order.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 506273256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 12 - 12. Let o(b) = -4*b**3 + 3*b**2 + 1. Let n(g) = 17*g**3 - 13*g**2 - 4. Suppose 2*j - 224 + 172 = 0. Determine j*o(y) + t*n(y).\nAnswer: -2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1\/90, -6.1, 2\/81 in descending order.\nAnswer: 2\/81, 1\/90, -4, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80355019.\nAnswer: 80355019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(34) - sqrt(544)))\/sqrt(162)*-4 - ((sqrt(153) - (sqrt(153) + -1)*-4) + sqrt(153) + sqrt(153) - (sqrt(153) + sqrt(153) + -3 + 0))**2.\nAnswer: -3826 + 98*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -m - d, -m - 4*d - 3 = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10590, 0.2, -2 in descending order.\nAnswer: 0.2, -2, -10590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-50)\/32)\/((-20)\/(-16)))\/((-25)\/68)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1022602183.\nAnswer: 28813, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 4*a. Let c(r) = 5*r. Let g(z) = -2*c(z) + 3*h(z). Suppose -w + 3*w - 16 = 0. Let b(m) = 3*m**2 - w*m**2 + 8*m**2. What is b(g(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 204 = -0*n. Let b = 1 - -1. Suppose 3*y - 41 = b*g + 32, 2*y - n = -g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3855 is divided by 1248?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1087)\/5 - 4\/(-10). Let g = t + 316. Let z = g - 62. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/424 and -49\/808356.\nAnswer: 1616712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04543804 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 54*o - 1. Calculate the remainder when x(1) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23090.3919 nanoseconds to days.\nAnswer: 0.00000000026724990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + 9. Let x(y) = -o*y - 6*y + 22*y. Let n(l) be the second derivative of 7*l**4\/12 + 461*l. Give x(n(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4050*q + 1631*q + 5905*q + 11059*q.\nAnswer: 14545*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 3*b - o - 16, 4*b + 5*o = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4614886.\nAnswer: 2, 29, 251, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 0.0204\nAnswer: 0.00408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 1077*v + 163. What is k(1)?\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l**2 - 5276*l + 5280 = 0. Calculate l.\nAnswer: -1320, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9\/((-216)\/56))\/((-64)\/(-12) + -5). Sort a, 3, 74, -3 in decreasing order.\nAnswer: 74, 3, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 15731*q - 78382. Give k(5).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 1\/120*q**6 + 0*q**3 + 0*q**2 + 41 - 21*q + 0*q**4 + 1\/80*q**5. Let b(p) be the first derivative of s(p). Factor b(r).\nAnswer: r**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 284149.\nAnswer: 284149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/8 and 23\/876?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155318086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 8) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 3 + 1)*(-2*x - 2 + 2) - 1 + 1 + x)*(2*x + x + 3*x)*(4 + 1 - 4).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrxcrhrhohhcrex. What is prob of sequence ehho?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -175136750 divided by 3494.\nAnswer: -50125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l + 171. Let u(j) = -42484*j. Give s(u(h)).\nAnswer: 84968*h + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -2\/5  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -34023139 to the nearest 100000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7577 is divided by 303.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32094*a = -32338*a + 3172 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(5) + (sqrt(320) + sqrt(320)*-1 - sqrt(320)) + sqrt(320) - (2 + 1 + sqrt(5) - sqrt(5))**2) + -5 + (sqrt(500)*4 + sqrt(500))**2)*-1.\nAnswer: -12488 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v. Let x(t) = -7*t. Let p(n) = -n - 7*n + 9*n. Let c(a) = -35*p(a) - 6*x(a). Calculate c(h(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 41177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1972, 1969, 1966, 1963, 1960?\n\"Answer: -3*r + 1975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -408*w**3 - 418*w**3 - 470*w**3 + 1284*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 2*d**2 + 13*d + 29. Give a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -7*p**2 + 18*p + 26. Let r(u) = 6*u**2 - 18*u - 30. Let v(b) = 3*i(b) + 4*r(b). Let d be v(-2). Solve 5*x - x - 12 = h, 3*h + d = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from ggxxggxxuxxiuxggux.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 91894, 91874, 91840, 91792, 91730, 91654?\n\"Answer: -7*o**2 + o + 91900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 12:50 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_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: -1625*0.3\nAnswer: -487.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1415 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/129, 8.91, 4\/7, 0.\nAnswer: -4\/129, 0, 4\/7, 8.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/12 + (-4)\/(-6). Sort 2\/5, -1, b in decreasing order.\nAnswer: b, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 970  (b) -3\/7  (c) 1\/10  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8972 times 0.8?\nAnswer: 7177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (105\/(-14))\/(6*(-3)\/120)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-8)*(28 - 3328\/120).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32324 (base 6) in base 15?\nAnswer: 14b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 - ((-4 - (-10 + 7)) + -14) - 5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 25 = 0, -3*k + 0*k - f = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12.2 + -11.1. Which is the second biggest value?  (a) 1\/2  (b) o  (c) -1\/6  (d) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(20) + sqrt(20)*-2)\/sqrt(4) + -2 + (sqrt(5) - (-2 + (sqrt(15)\/sqrt(3) + sqrt(5) - sqrt(5)))) + 3 + 3)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - h)*(2713*h + 12 - 6570*h + 2869*h) to the form p*h + l + i*h**2 and give i.\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/2*(-56)\/35. Differentiate 25*t**2 - 13*t**2 + 3*t**2 + u wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-50479281)\/(-1533) + (-3)\/7.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/66*(-13)\/(-130)*30\/(-12).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2 + 41*g - 392.\nAnswer: (g - 8)*(g + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 3)\/((-9)\/(-2)). Let h = 2.2 - 0.5. Let b = h + 2.3. Sort n, 0.1, b.\nAnswer: n, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 434?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1039012.947 seconds?\nAnswer: 1.7179446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 12850 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5172*t**2 + 16427*t**2 + 7996*t**2.\nAnswer: 19251*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74.50135kg to micrograms.\nAnswer: 74501350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50308*s**2 - s + 255?\nAnswer: -100616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1266 - -1269. Suppose -7*d = -3*d - 16. Solve 4*x - d*i + 4 = 0, j*x = -3*i + 2*i - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-33)*x*x**(-23\/3))\/(x\/(x*(x*x**(-13))\/x))**(-50) assuming x is positive.\nAnswer: x**(1831\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -467*s**6\/120 - 1870*s**3\/3 - 2629*s**2. What is the first derivative of z(m) wrt m?\nAnswer: -1401*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-6)*(-2820)\/(-1504)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((1\/(-4))\/(5\/(-20)))\/(1\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 403 - 358. Calculate the remainder when 82 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3*c - 30. Let x(y) = -5*y + 6. What are the prime factors of x(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46213 less than -7964300787?\nAnswer: -7964347000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4\/6 - 49\/(-3))*3 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17\/5*x + 18\/5 - 1\/5*x**2.\nAnswer: -(x - 1)*(x + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 292, -414, -1596, -3260, -5412, -8058, -11204?\n\"Answer: -x**3 - 232*x**2 - 3*x + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 37691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 31 = 15. Let n = 122 - z. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2)\/l)**(2\/25)*(l*l*l**(1\/2)*l*l)\/l*l*l*l*l\/l**(2\/5) assuming l is positive.\nAnswer: l**(343\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 499 a factor of 57978311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2742223l in millilitres?\nAnswer: 274.2223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7006?  (a) -1\/5  (b) -1\/2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 4, 53, -1, -44 in decreasing order.\nAnswer: 53, 4, 2, -1, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 635 - 3525 = 3*x, 0 = -2*x - 10. Which is bigger: s or 827?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 23008 and 368128?\nAnswer: 368128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 249 + -193. Suppose -48*w - 2280 = -k*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 298 and 857197.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l = -2*l + 4188. Let h = l + 2447\/2. Let q = -858 + h. Find the common denominator of -71\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - ((1 - -7) + -1 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -54\/3409535 and 13\/6819070?\nAnswer: 6819070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5768 + 5845 = h - 5*w, -9*h - 107 = 5*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (108*s**2 + 45*s + 14*s - 1 - 107*s**2)*((0 - 2 + 4)*(4*s + 0*s - 3*s) + 2*s - s + s) as f*s**2 + k*s + j + g*s**3 and give f.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pwbxxxbbwbxphxbl. What is prob of picking 1 l and 2 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - w - 14. Suppose -141*s - 24 = -147*s. Let k be o(s). Let v(r) be the first derivative of -r**4\/4 + r**2\/2 + 2*r + 3. Determine v(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1353.9057 + 0.9943. Round l to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*w + 40*w - 51*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -77*d**2 - 4392*d + 4279. What is w(-58)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17.42 + 17.52. What is the nearest to j in -3\/14, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00209982 rounded to five dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*y + 460, 0*s - 230 = -2*y + 4*s. Suppose 65 = 3*f - q, f = 6*f + 5*q - y. Let o = f + -14. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -128 - -190. Suppose v = 6*d - 46. Suppose 0 = -13*q + 70 - d. Which is smaller: q or 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-609.4.\nAnswer: 304.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**0)**25\/((w**0*w)\/(w\/w**(3\/5))))**(-8))**(-43\/5) assuming w is positive.\nAnswer: w**(-1032\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of -3*n**7\/70 + 5*n**3\/3 - 14*n**2. Differentiate o(u) with respect to u.\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x**2 + 382*x + 187. Let u be b(-95). Sort 0, -49, u in decreasing order.\nAnswer: 0, u, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 1\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44203 (base 7) to base 8.\nAnswer: 25505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -305 + 0?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20*n**4 + 1154*n**3 + 122954?\nAnswer: -80*n**3 + 3462*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -n + 4*n - 5871, -2*n - 3*a + 3909 = 0. Let u = 2778 - n. Suppose 3*o - u = -0*o. Is 39 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (50\/(-28) + 2)*(-42 + 53 + -13). Sort -2, -0.24, -9, v, -0.4.\nAnswer: -9, -2, v, -0.4, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 AM and 11:17 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3908209 and 0.034.\nAnswer: -3908208.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*m**2 + 58*m**2 - 24*m**2.\nAnswer: 154*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -254, -505, -758, -1013, -1270?\n\"Answer: -g**2 - 248*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -5*r + 68, -5*d - 1163*r + 1165*r - 18 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2127868398 divided by -6\nAnswer: 354644733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, f: 2, y: 1}. Give prob of sequence pyf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 26105355571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 36*o**2 - 96*o**2 + 30*o**2 + 29*o**2. Let u(h) = h + 2. Let s be u(-2). Let q(c) = s*c - c + 5*c. Determine g(q(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 12*k**2 + 13*k + 3. Let l be h(-13). Let g(y) = 3*y - 1 + y**3 - 1 + 2*y**3 + 2*y**2 - 4*y**3. Give g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuqquuqquuuuu. Give prob of sequence qu.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/7 + 13*z**2\/7 - z\/7 - 13\/7.\nAnswer: (z - 1)*(z + 1)*(z + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -30, -63, -98, -135?\n\"Answer: -o**2 - 30*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 214 a factor of 1177541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 7743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 3*o - 759 = 0, -y = -0*y - 3*o + 159. Let t = y - -157. Solve -q - t*s = -4*q - 28, -4*s + 20 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-44)\/(-52))\/11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7331 divide 1373724623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 21. Suppose -40 = 4*g + g - 2*l, -2*g - 3*l + i = 0. Let q(x) = -33*x - 38. Is 40 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s - 12. Let w be u(-8). Suppose -a - 5*j = w*a - 25, -24 = -4*a - 5*j. Suppose 2 = -4*h - 2*i, -3*i - 2*i - 17 = 4*h. Which is bigger: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, 0.5, -11, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -64940, -64967, -64994, -65021, -65048?\n\"Answer: -27*u - 64913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -613, -3290, -7731, -13942, -21929, -31698, -43255, -56606?\nAnswer: -71757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 15*i**2 - 6. Let d be n(15). Let x(q) = -13*q + 16. Let w(z) = -13*z + 16. Let k(f) = -5*w(f) + 6*x(f). What is the tens digit of k(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25465, -100569, -225743, -400987, -626301, -901685, -1227139?\nAnswer: -1602663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 6*j + 5. Let v be x(3). What is the greatest common factor of v and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*b - 31*b**2 - 87*b + 30*b + 20*b.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 at most 117\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/2 - 24*z**3 - 467*z**2\/2 - 210*z.\nAnswer: -z*(z + 1)*(z + 12)*(z + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*i**5\/3 - 235060*i**4\/3 - 15556*i**3 + 536040*i**2 + 592362*i + 169236 = 0 for i.\nAnswer: -4701, -2, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -924 by 33.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.2989729 milliseconds?\nAnswer: 298.9729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 3:43 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 7:32 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 70, 96, 122?\n\"Answer: 26*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w. Let s(m) = -4*m - 1. Let d(b) = 2*j(b) + s(b). Suppose k - 4*c + 16 = 0, -14 = -0*k + 5*k + 2*c. What is the tens digit of d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**3 - 4*u**2 + u + 2. Let j be z(2). What is the greatest common factor of 36 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3 + 409416*q**2 + 818804*q - 1228224.\nAnswer: 4*(q - 1)*(q + 3)*(q + 102352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (1 - (-4 - (-10 - -2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c + 2 - 2)*(0*c - c + 3*c) + (11 + 4 - 5)*(6*c**2 - c**2 - 2*c**2).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-2))\/(3\/(-30)). Let v = 1 - 1. Suppose -5*g + 16 = -3*a, v*a - u*a - g + 20 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.1 - 8. Let l = 0.01 - -0.03. Sort -1\/3, 1, l, m.\nAnswer: -1\/3, l, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -6803437, -6803430, -6803411, -6803374, -6803313, -6803222, -6803095?\n\"Answer: q**3 - 6803438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217*h**2 + 38*h**2 - 501*h**2 - 195*h**2.\nAnswer: -441*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (12 + -17 - -16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 211927\/2617632 - 10\/9089. What is the common denominator of r and 79\/4?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/18 and -16\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -720798288 - -720797916.059939. Let b = a + 371.61. Let p = b - -0.33. Round p to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 1 = -47. Let a = 23 - n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 5*p - 21 + 3 + 0 = 0, 0 = -4*p for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 2*v - 584 = 0. Let i = v + -27. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-45)\/(-12) + (-1)\/(-4). Suppose -f + j = -0*f. Solve -2*a - f = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 + 18548.65\nAnswer: 18548.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 2:03 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110202002 - -1?\nAnswer: -110202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153161220.\nAnswer: 2, 3, 5, 2552687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -1 + 0*o + 0 + 2*o - 3*o. What is the remainder when 10 is divided by l(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 5*s - 1. Let w be k(4). Find the first derivative of 2 - 5 - 11 + 17*a**3 + 9*a**w wrt a.\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-24)\/(-5))\/2)\/(12\/(-6)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*g - 13*g + 58. Let o = 73 - g. What is the remainder when o is divided by (-7)\/(-28) - (-23)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -386 (base 10) to base 4.\nAnswer: -12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 0) + (0 - (2 + -2)). Suppose n = -c + 2*c - 2. Let y(d) = -11*d**2 - 2*d**c + 12*d**2. Let k(q) = -14*q**2. Calculate y(k(j)).\nAnswer: -196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 1\/30*p**6 + 0*p**2 + 0*p**3 - 1\/12*p**4 + 2*p + 0*p**5 + 1. Let u(o) be the first derivative of h(o). Factor u(l).\nAnswer: l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - 13*x + 8. Let d(a) = -a**2 + 14*a - 9. Let p(k) = -3*d(k) - 4*o(k). What is the units digit of p(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -390, -787, -1206, -1659, -2158, -2715, -3342?\nAnswer: -4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -117578 at most as big as -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12179445.73939517 + 12178762.7394. Let c = -682.159 + -0.841. Let h = c - q. What is h rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 5*s = 0, 2 = -9*g + 5*g + 3*s. Let m be (2 + -1)\/(-1 + 0). Which is the nearest to 1\/4?  (a) 0.7  (b) g  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -762, -765, -770, -777, -786, -797?\n\"Answer: -z**2 - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 1080205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w + w + 4*w - 8*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -8 - (64 - 53 - (1 - -4))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(520)*-2*3)\/(4*(sqrt(10) + sqrt(20)\/sqrt(2) + sqrt(10))) + (-1*(sqrt(1872) + 5 + 2 + sqrt(1872))*2)**2.\nAnswer: 1343*sqrt(13) + 30148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 7. Let b be q(-2). Solve -3*i = -2*w + 19, -b*w = -8*w - 2*i - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 522, -3785, -10934, -20901, -33662, -49193, -67470, -88469?\n\"Answer: 4*v**3 - 1445*v**2 + 1963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + 34 - 34*k**2 - 121.\nAnswer: -34*k**2 - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -343*q + 19822 + 20961 = 507*q - 4267 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.8387l to millilitres.\nAnswer: 24838.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -33856\/15 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of -b**5\/5 + b**4\/12 + b**3 + b**2 - b - 37. What is the second derivative of q(p) wrt p?\nAnswer: -24*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**3*i**2*q**2 + 5*h**3*q + h**3 + 213*h**2*i**2*q**3 - 2*h**2*q**3 + 5*i*q**2 wrt i.\nAnswer: -4*h**3*q**2 + 426*h**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 255 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, 0.4, 0.1, -2, 10, -713\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 10:14 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {m: 8, b: 1, t: 5, j: 5}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -405 (base 8) to base 12.\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -147*i**6 + 17*i**3 - 10*i**2 + 45*i?\nAnswer: -17640*i**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/((-14)\/(-16)) - 15\/((-30)\/(-8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 3 m when four letters picked without replacement from imppfmimiyzimy?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times -27?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = -8*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/4, 1, 1\/7, 0.07, 15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55.31045 millimeters to meters.\nAnswer: 0.05531045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 270*i + 1615 = 0, 2*i - 7*i - 34 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*y - 9*y + 17*y)*(2*y**2 - 4*y**2 + y**2)*(y + 6 + 2*y - 4*y).\nAnswer: -4*y**4 + 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*d + 4 = k, 10 = -k + 3*d. Suppose -2*x + 6 = -m, x = -3*x + 3*m + 10. Suppose 2*o - 4*s = 4, -k*o = -o - x*s. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y + 2*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 182 and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 64 + -62. Solve -f - h*f = 4*a + 1, 5*f + 11 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/20 and 7\/3060.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-3) + (-2)\/42. Suppose 8 = -4*p + 4*m, -p + 4*m - 31 + 26 = 0. What is the closest to p in 0.4, r, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7122, 14255, 21414, 28611, 35858, 43167, 50550, 58019?\nAnswer: 65586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/(-30)*(-1870)\/(-102)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2777010 divided by -462835\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62712 divided by -3.\nAnswer: 20904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1024, 1022, 1048, 1114, 1232?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8657009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + b - 1. Let f(k) = -19*k**3 - 5*k**2 - 4*k + 5. What is -f(q) - 5*i(q)?\nAnswer: 19*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 338296675.\nAnswer: 5, 13531867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1421*p*t**3 + 9*t**3 + 27*t**2 wrt p.\nAnswer: -1421*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 456704 (base 12) to base 8\nAnswer: 4170564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.61341 to 3 decimal places.\nAnswer: -0.613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -303086.3 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2107 + 2113. Solve 19 = -2*j + 3*y + 12, 0 = 4*j - 2*y - c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -179, 2, 1, 6, 3, -42 in decreasing order.\nAnswer: 6, 3, 2, 1, -42, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 12*r - 11. Suppose -5*p + 3*p + 338 = 0. Calculate the remainder when p is divided by o(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 95*o - 4. Let q(h) = -50*h + 2. Determine -13*q(j) - 6*w(j).\nAnswer: 80*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -190 + 311. Let m = t - 121.0231. What is m rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 - 9*v + 3. Let w be y(8). Let t be -2*w\/((-10)\/(-3)). Suppose 0 = 3*p - g - 43, 0*g = t*p + g - 53. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 27. Let n = 29 - t. What is the smallest value in -4, n, 0.2, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.087 + -87.087. Let m = 2364 - 2276. Let r = m + g. Which is smaller: r or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 4864.\nAnswer: 24320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -338 equal to -337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.6 - 6. Let g = -46\/3 + 140\/9. What is the nearest to -1\/2 in g, q, 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 61*c + 2070. Give w(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6781, 1, 0.1, 11, -12?\nAnswer: 6781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -357*a = -377*a - 240 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 - -41. Suppose -o - 128 = i*k - 7*k, 78 = 3*k - o. Let d(b) = b**2 - 10*b - 19. Let y be d(-7). Calculate the greatest common divisor of y and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 249119691 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2*m + 7. Let f be x(6). Let o(c) = -c**3 - 5*c**2 - c + 1. Let d be o(f). Suppose n = -r - 0*n + 12, -3*r + d = -3*n. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c - 7 = 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 5*n + 74492, -5*n = 5*a - 3*a - 37256. Suppose 63*u - 57*u - a = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f + f - 5*f)*(46 - 49 - 569*f + 71*f).\nAnswer: 498*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**2 - z**2 - 4*z**2 - 3*z**2 + 4*z**2 - 2*z**2 + (-z - z + 0*z)*(-4*z + 3*z + 2*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 461453008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 290, 722.\nAnswer: -4, 290, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.25 or -46957\/9?\nAnswer: -46957\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 7:09 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2030 and 192560.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-24)\/(-21))\/((-2)\/(-7)). Let b(a) = -a**3 + a**2 - a - 1. Let p be b(-1). Let s be (1 - p)*(2 - 2). Solve s = -c*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 8 = 28. Let z = r + 10. Let s = z - 2. Solve -3*f = 7 + 8, 5*u = -s*f - 35 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, x: 4, a: 7, j: 3, q: 1}. What is prob of picking 1 m, 1 a, and 1 j?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 404\/(-707) - 27724\/(-203)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 10:32 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 40607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -20\/60833 < 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in 2, 6752, -2, -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25569114?\nAnswer: 2, 3, 4261519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 150 - 153. What is the smallest value in -2, -0.4, n, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -2\/9, 766, 2 in descending order.\nAnswer: 766, 2, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p**3 - 155*p**2 - 348*p - 20892. Give s(-77).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 346 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2305777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 12*f**2 - 45*f + 163. Let a(w) = 4*w**2 - 13*w + 55. Calculate -7*a(g) + 2*m(g).\nAnswer: -4*g**2 + g - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 6*d - 3*d)*(-31 + 12 + 10 - 4*d).\nAnswer: 44*d**2 + 99*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h. Let f(b) = -3*b. Let t(v) = -5*f(v) - 4*k(v). Let x(d) = 23*d. Suppose 37*y - 41*y + 480 = -24*y. Determine y*t(q) + 3*x(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(6\/(-9092)*-1). Suppose 5*b - 30908 = v. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52046 (base 9) to base 3\nAnswer: 1202001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 30*t. Let s(o) = -8*o. What is y(s(p))?\nAnswer: -240*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -8*m + 1 - 8*m + 3*m. Suppose -2*z - 20 = -l, 3*l - 2*l + 2*z = 32. Calculate the remainder when l is divided by w(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 22  (b) 56\/3  (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 30.44, 2, -5, 40, 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + m**2 + m - 5. Let p be h(0). Let o = -0.09 + 0.09. Let u = 1 + -0.6. Which is the closest to -0.1?  (a) o  (b) p  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s - s + 2*s)*(371 - 118 + 16)*(-3 - 14 - 2)*(-3 - 4 - 1) as i*s + w and give i.\nAnswer: 81776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 5  (c) -3  (d) 1\/4  (e) 26.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1395161463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15979 and 27550.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 8 = -36. Let j be -7 + (s - 4) - -122. Suppose 0 = 2*q - j - 136. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2035.96 and 0.195?\nAnswer: 397.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 4 - (-1 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {g: 3, e: 3, t: 4, o: 10}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 4:14 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 - -14 - -23 - (2 + 17) - -33?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) 2  (b) -1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 530 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 8*p + 2. Suppose -34*i + 7 = -33*i. Suppose i*r = -r + 176. What is the remainder when r is divided by j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 848 is divided by 781?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 + (16 - 20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -229*u + 59932. What is s(262)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-4)*(-4)\/6. Suppose 3*d = 5 + c. What are the prime factors of d\/(-3) - 22\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-12))\/((-26)\/208)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ennnneeenn. What is prob of sequence nene?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-330)\/(-54)*8\/(-12) + 4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 20012222 (base 4) to base 11\nAnswer: 22a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -5, -0.05, -0.3, 128\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f + 2227678 - 59*f**2 - 2227678.\nAnswer: -59*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 2.3?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38 - -29. Let q be (-1683022)\/99 + (-2)\/u. What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/12)\/((-12)\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17*c**2\/7 + 605*c + 498\/7.\nAnswer: (c + 249)*(17*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -144.63 to the nearest integer.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**4 - 3*d + 2*d - d**4 - 5 - d**3 + 4 as b*d + w*d**2 + a*d**3 + t*d**4 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1203 a factor of 19248328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v\/(v**(-14\/3)*v)*v*v\/(v\/(v\/(v\/(v*v\/v**(-2)*v*v)*v*v))*v)*(v*v*(v*v**(-3\/7)*v)\/v)**39 assuming v is positive.\nAnswer: v**(2309\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -4577000 to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 499 - 585 = 2*l, 3*n = 5*l + 194 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -866337 and -2.\nAnswer: 1732674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*i + 1231 = 113. Calculate the greatest common divisor of 611 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7110)\/(-2765)*(-14)\/(-3). Solve 6*m + 18 = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - 9. Let w = k + 23. Let i(u) = 12*u**2 - 162*u + 78. Let t be i(13). Put w, -4, t, -1 in ascending order.\nAnswer: -4, -1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 376, -0.1, -2\/13, 2638\/7, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - d + 2. Let m be l(2). Let q = m - -6. Let w = 4 + -3. Which is greater: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 779.42 - 817. What is d rounded to zero decimal places?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 0*a**2 + 0*a**2)*(3*a - 4*a - 207257*a**2 + 206062*a**2).\nAnswer: 1195*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.357  (b) -2  (c) 39  (d) 0.4  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -9*a**2. Let o(t) be the third derivative of -t**7\/5040 - 8*t**5\/15 + 2*t**2. Let g(v) be the third derivative of o(v). Give g(r(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*l - 1376 + 1504 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/((l*(l**(-1)\/l)\/l)\/l)*l\/(l*(l**(6\/5)\/l*l)\/l)*l)**(-35))**5 assuming l is positive.\nAnswer: l**(-1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) 4\/5  (b) 0.525  (c) 0.3  (d) -82  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r*r*r**8*r*r*r*r))\/r**(-8\/3)*(r\/(r\/r**(2\/5)))**(-23))**18 assuming r is positive.\nAnswer: r**(-1848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1125, 2252, 3381, 4512, 5645, 6780?\nAnswer: 7917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6993 a factor of 270104625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.044 - -0.956. Which is the closest to 1?  (a) 0  (b) d  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -933*a + 1403. Let k(n) = -466*n + 703. Let j(p) = 2*c(p) - 5*k(p). Differentiate j(l) wrt l.\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5070491259.\nAnswer: 3, 19, 88955987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 929262, 7434291, 25090810, 59474565, 116161302, 200726767?\n\"Answer: 929291*f**3 - f**2 - 5*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 1221300030001?\nAnswer: 1221300030010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -4*h**2 + 16*h + 339. What is f(13)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q**4 + q**2 - q**4 + 1 + 7*q**4 to the form z*q**2 + b*q**4 + i*q + s + k*q**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2*(-1)\/2 + 9990\/18. Let l = q - 516. Which is smaller: 39 or l?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1825076819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*m + m - 101*m - 2464 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lloollllulool. Give prob of picking 1 l and 2 o.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3112003 (base 4) in base 14?\nAnswer: 4dc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 54*q**3 - 2104*q**2 + 18226*q = 0.\nAnswer: 0, 13, 701\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bssjssj. What is prob of sequence bjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 693 + -718. Is i at most as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m - 4*m = -20. Let y = 54 + m. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 444*p + 1776. Let i be o(-4). Solve i = 5*h - 15, -5*d + d = 2*h - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-55)\/(-4) - (-20)\/16. Suppose 3 = o, -4*g - 2*o - 15 = -7*o. Does 4 divide (q + -3)*1 - g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -i + 74 - 66, 0 = -5*i - 20. Solve -y - s*k = -4 - 21, -5*y = k - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130 + 404 + 2378 = 940*d - 1788 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47667.9999863445 + -47668. Round l to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -22*s + 126 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.701975g in kilograms?\nAnswer: 0.009701975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r - 15. Let m(k) = 3*k + 35. Let c(b) = 3*m(b) + 7*x(b). Let y(s) = -2*s**2 - 98*s. Determine c(y(p)).\nAnswer: -4*p**2 - 196*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaw when three letters picked without replacement from awwasisaqeaw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4450451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-4*3\/(-30))\/(6556\/1490)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 2. Suppose 4*q + h = 2*n + 6, -4*q + 4 = -3*n. Solve 5*y + 3 - 23 = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211.380489 nanoseconds to days.\nAnswer: 0.0000000000024465334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37647686\/69 + -545630. Let q = y - -25801\/2208. What is the common denominator of q and 53\/240?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1718475, -1718481, -1718487?\nAnswer: -1718493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9\/(-6)*((-358)\/6 - 3) is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -128*s + 797*s**5 - 46 - 855*s**5 + 122*s wrt s?\nAnswer: -1160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/1*(882\/(-231))\/(-21)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*((-60)\/(-1))\/(-4) + -2. Solve 6 = 3*o - 3*d, 4*d = 5*o - v + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 67112736*y - 229343923 wrt y.\nAnswer: 67112736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1*4.9\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 350881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -0.2\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**2 - a**3 - 119 + 71 - 2*a + 58 to g + y*a**3 + o*a + q*a**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13074857969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 1:11 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 452848842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 93671855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7847 is divided by 54.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -115?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -1 - (-3 + (1 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*u**2 - 16*u**2 - 15*u**2 - 3*u**2.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 189 divided by 2\nAnswer: 189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 1877 = -883. Let u = x + 859. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -80 times 0.13\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -390446 by -5.\nAnswer: 390446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2324098 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 7 = -2*o + 139, -2*o - w + 155 = 0. Suppose 3*l - 1408 = 4*z, 5*l - 4*z = -6*z + 2364. Calculate the remainder when l is divided by o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 1:24 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 207 = -5*t, -t + 235 = -279*z + 231*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 12:27 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(((s\/(s\/s**2)*s)\/s*s)\/s*s*s))**(1\/3)*(s\/(s\/((s\/s**2)\/s)))**(-12\/5))**(-46) assuming s is positive.\nAnswer: s**(-874\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1374, 2492, 3610, 4728?\nAnswer: 5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*y - 4352 = 0, -3*y = u - 5*u + 8697. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29664 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -11.5672.\nAnswer: -4.62688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 7*r + 20. Let t be x(11). Let w = t + 28. Suppose 0 = q + 2*u - w, 0 = 2*q + 2*q - u + 2. Solve 5*y = -q + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from ghss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9440 = 13*c - 5*c. Suppose o - 2*j = 1184, -o + 0*j + c = -4*j. Is 8 a factor of o\/(-81)*(-21)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(4 + 0 + sqrt(1088) + 4*sqrt(1088) + 0 + -2))**2 + 4.\nAnswer: 4000*sqrt(17) + 680104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -v**6\/6 + 2*v**3 + 241*v**2\/2 - v + 21. What is the first derivative of s(l) wrt l?\nAnswer: -20*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1603*r + 44*r - 17648 + 22678 = 92321 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2738704?\nAnswer: 2, 171169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-6)*2*5\/(-10). Let r = 1.7 - -0.3. Let i = r - 2.4. What is the smallest value in i, s, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**3\/5 - 42138*s**2\/5 - 235298928*s\/5 - 27685493864 = 0. What is s?\nAnswer: -10202, -665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**3 - x**3 + x**3 - 30*x**3 + 9*x**3.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3.550931 weeks?\nAnswer: 2147603068.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssssroxssxrssosxsr. What is prob of sequence oxrx?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10248698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -5. Let s = -244 - -267. Let a = b + s. Calculate the greatest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2\/7, -1, -0.18, -4\/9 in ascending order.\nAnswer: -1, -4\/9, -0.18, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-605)\/(-20))\/11 + -4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1*(3 - 3)\/(-1))\/2. Let k(o) = 3*o**2 + o + 2. Let n be k(2). Solve 0*t + 4*t - n = s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 4*i - 5*f, i + 16*f - 11*f = 25. Which is smaller: i or 2\/71?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-2)*1 + -1. Solve w - v = -p, 13 - 1 = 2*w + 5*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*o + o + 4*o)*(0*o + o - 2*o) + 5*o**2 - o**2 - o**2 + (132 - 132 + o)*(-4*o - o + 2*o) as j + v*o + d*o**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -43070 (base 11) to base 4\nAnswer: -33102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -3) + (13 - 16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 15 = -1. Let n = -37 + 33. Let x = 7 + n. Which is the nearest to x?  (a) u  (b) 2\/7  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 8:56 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**3 - 16660*i**2 - 183912*i + 701568.\nAnswer: 4*(i - 4176)*(i - 3)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8899 + -3?\nAnswer: 8896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.11, -1\/3, -23, -1.\nAnswer: -23, -1, -1\/3, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a + 135599 - 135599.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 7*a - 46. Let g be k(7). Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45384 divided by 62.\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 193188 = -3*a + 127999, 0 = b - a - 64231. Let n = b + -39698. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 7*i**2 + 16*i - 11. Determine s(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.4 + -4.6. Let w = 4 + o. Let n = 4 - 6. Is w greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1592 (base 11) to base 16\nAnswer: -7f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -355 - 60*h + 355 + 27*h**2 wrt h.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 8:04 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -59865*r*s**4 + 9*r*s**2 + 2*r*s - 254*s**2 + 2 wrt s?\nAnswer: -1436760*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 6:06 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2417686*l*y**2 + 5*l*y - 22143*y wrt y.\nAnswer: -4835372*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8\/(-24))\/(5\/90). Let b be 1*(x - (-40)\/4). Solve -m = 2*a + 3*a + 16, -4*m + b*a + 32 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(384) - -2*sqrt(384))\/(sqrt(80)\/(sqrt(10)*2)) - (sqrt(600)*-1)\/(sqrt(2) + (sqrt(28)\/sqrt(2))\/sqrt(7)))**2 + 2)*-1.\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -18*i**4 - 52*i**3 + 8 - 2*i**4 - 136*i**2 + 4*i + 100*i**2 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3154709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 821746.\nAnswer: 2, 17, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14.1 - -2.9. Let g = -0.125 - 19.875. Let y = r + g. What is the fourth smallest value in 4, y, -5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*((-2)\/(-4))\/((-162)\/36 + 5) + 115\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/2 and ((-3)\/(-48))\/(1 - 68\/67)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13.5  (b) 1352  (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of 7*k**7\/15 - 7*k**6\/12 - 13*k**5\/30 - k**4\/12 - 1103*k**2. Factor z(x).\nAnswer: 2*x*(x - 1)*(7*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 14*v**2 + 16*v + 15. Let r be l(-13). Let b be (r\/18)\/(1\/(-3)). What is the highest common divisor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -81?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*n + 2142 = 336. Suppose 46*p - n*p = -39*p. Solve 12*f - 9*f + 3 = p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63a8f (base 16) in base 9?\nAnswer: 681853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -7*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2623548.73626 - 1.9.\nAnswer: -2623550.63626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01 + 0.61. Let g = s + -0.5. Let m(l) = l**2 - 11*l - 5. Let f be m(11). What is the closest to 1 in f, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.89 - -0.11. Let v = j - 10.5. What is the closest to 0.1 in -4\/7, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -1. Let p be 5\/(-9)*18\/45. Is p > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000098704 to 7 dps.\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 15766047.\nAnswer: -1\/1751783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219802?\nAnswer: 2, 11, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -124 divided by 6\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 597852 and 2484?\nAnswer: 41251788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.435508 - -0.042.\nAnswer: -0.393508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -34049315.2 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 473, 472, 471?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*n - 4*a = 38*n + 2, 3*n + 5*a = -16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 244 (base 6) to base 15\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3782572 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 546.3051 weeks in days?\nAnswer: 3824.1357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5771*o**4 - 706*o**4 - 9813*o**4)*((-3 + 4 - 3)*(-2*o + 3 - 3) + o - 3 + 3).\nAnswer: -81450*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, p: 1, s: 1, c: 2}. What is prob of picking 1 s, 1 x, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f + 1. Let q(l) = l. Let z be 0 + ((-4)\/1 - -6). What is z*q(d) + 2*j(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90148 and 2604.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of j**3 - 424. Let q(g) = g**2 + 6*g. What is n(q(r))?\nAnswer: 3*r**4 + 36*r**3 + 108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 3*c - 33. Let a be h(-8). Let d = 48 + a. List the prime factors of d.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 66*u**2 + 5812*u + 383601. Determine m(-66).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -15*c - 1\/2*c**2 + 0 + 1\/6*c**3. Suppose 5*z - 5*x + 14 + 11 = 0, 3*z + 7 = -5*x. What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 241583 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: Two letters picked without replacement from jawajwwgwgawgjq. What is prob of sequence aw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -29952223.9 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 40 and -0.14581?\nAnswer: -5.8324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23074009*q**4 - 12*q**3 + 698704960*q**2 wrt q?\nAnswer: 553776216*q - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4*v + 8. Let m be u(-2). Sort 4, 5, m, -2 in decreasing order.\nAnswer: 5, 4, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-18)\/45)\/(12\/(-174)) and 51\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -770 divided by -6093.\nAnswer: 770\/6093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 28 = 2*d, -4*d - 7*a = -4*a - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1196*d - 8074.\nAnswer: 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of -u**4\/16 - 7*u**3\/12 - 2*u**2 - 3*u + 40. Find a, given that v(a) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*c + 0*c - 7*c + (3*c - 5*c + c)*(-4 - 1 + 4 - 6 + 4 + 4 + (-4 + 1 + 1)*(6 - 4 - 3) - 2 + 5 - 1).\nAnswer: -25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*d - 306510611 + 306510611.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212*q**3 + 92*q**3 - 49*q + 49*q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.71 + 0.91. Let u = 3.8 + r. Let f = -0.06 - 0.34. Sort 6, f, u in ascending order.\nAnswer: u, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.28704052 to three dps.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 3*m**2 + 3*m - 1. Let g be x(-4). Suppose -g*t = 4*z - 95, -t + 66 = 3*z - 4*t. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*a - 330 = 10*a + 12*a. Calculate the highest common divisor of a and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001674215 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 15, -453, 29 in decreasing order.\nAnswer: 29, 15, -8, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4*h**2 - 506*h + 12343. Calculate q(37).\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*r**2 - 53*r**2 - 380*r**2.\nAnswer: -384*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-2))\/((r*r*r*r\/(r*(r*r**(-7\/3)\/r)\/r))\/r))\/(r**15*r**11))**(-10\/9) assuming r is positive.\nAnswer: r**(850\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -53.474 + 0.174. Round z to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.919957 nanograms?\nAnswer: 0.000000000000000919957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 1 = 2*g. Let y(z) = -7*z - 5. Let p(x) = 6*x + 4. Calculate g*p(o) - 4*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18270 divided by 2.\nAnswer: 9135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -911.510718 to 1 decimal place.\nAnswer: -911.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 267748, 535499, 803250?\n\"Answer: 267751*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108 - -109. Let h be (-9)\/2 - (-1 - (-18)\/12). Which is the nearest to x?  (a) 0.4  (b) 2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72900 divided by 324\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + 14\/4)*62. Let b be 31*1*(-10 + 12). What is the greatest common divisor of m and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1441, 1440, 1439, 1438?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7747 - 4047. What are the prime factors of v?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46775.86 grams in nanograms?\nAnswer: 46775860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 70010175 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -1\/7  (b) 1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*v - 2*p, 3*v - p - 9 - 1 = 0. Sort -2, 4, v.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 0 + 4*v + 2 + v**2. Suppose 2*n + 8 = 2. What is the remainder when 14 is divided by l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 13528, 14142, 14776, 15436, 16128, 16858, 17632, 18456?\n\"Answer: m**3 + 4*m**2 + 595*m + 12928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4 = -4*g - 1, 11 = -2*u + 3*g. Let q(s) = -s - 8. Let d be q(u). Let v = 5 - 8. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/6 - 6\/9. Suppose 3*d - 6*f + 2*f = 7, k = 2*f + 2. Let q = 0 + d. Solve -3 + q = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 14 + 6. What is the remainder when ((-6)\/(-15))\/((-4)\/(-140)) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -154ba00 + -4?\nAnswer: -154ba04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, -0.4, 23, -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**2\/3 - 215711*r\/3 + 7551110\/3 = 0. What is r?\nAnswer: -215746, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75233?\nAnswer: 23, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5*(-7)\/(-105)*9. Suppose x*a - 6892 = 2003. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 5*d - 26 = 0, -6 = 5*n - 4*d + 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -27*h**2 + h + 9. Let k(n) = 3*n. Calculate k(b(g)).\nAnswer: -81*g**2 + 3*g + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -244 divided by 212\nAnswer: -61\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 1097 = 4*b + 1031, a + 26 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*d)*(-241 - 787 - 200).\nAnswer: 2456*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/(-3)*(-5)\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 4:43 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130428 - 3*q + 929*q**3 - 5*q + 130428 + 8*q.\nAnswer: 929*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nupmffmnfufynfmmnmfn. What is prob of picking 1 f, 2 n, and 1 y?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(6*2*sqrt(72)*3)\/(sqrt(12)\/sqrt(3)*-4 + (sqrt(28)*-2)\/sqrt(7))*2.\nAnswer: 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8530 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 + 10*u - 4. Let q be t(9). Suppose -4*x - 21 = -q*w, -5*x = 2*w - 4 - 11. Let a be (0 - -1)\/(0 + x). Let m(c) = 5*c. Determine m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20211 is divided by 493.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-16))\/((-2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1331412 + 23?\nAnswer: 1331435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 26973*r**2 - 44290.\nAnswer: 53946*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u + 4*k + 27, -44*u + 43*u + 13*k - 19 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4*v**2 - v - 5. Let r(x) = 22 + 14 - 3*x**2 - 49 + 17. Calculate -3*r(u) - 2*t(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (10 + -22) - (14 + 4) - -26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/105 + 63\/630. Let y(p) be the second derivative of 0*p**2 - 2*p + 0*p**3 + 0 + 1\/15*p**6 + 0*p**5 + 0*p**4 + w*p**7. Determine b so that y(b) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13403 + 13578. Solve q*h - 183*h + 48 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/45 + (-76)\/(-18). Suppose 0*p + 4 = v*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 3*o**2 + 3*o + 1. Calculate c(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-2)*-13*32\/(-6760).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 738163?\nAnswer: 738163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b + 14. Calculate the lowest common multiple of p(3) and 382\/18 - (-4)\/(-18).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -11*a - 4. Let d be l(-6). Suppose w = d - 19. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 12\/6013 and -8\/6013.\nAnswer: 6013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 81 and 213273.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -3*r + 4*r - 21, -228*r + 34*r = 311*r - 1515 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.0366 in -0.5, -71, -2\/19, -0.4, -2\/11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 360\/(-60)*2\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -300371, -300335, -300261, -300137, -299951, -299691, -299345?\n\"Answer: 2*p**3 + 7*p**2 + p - 300381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30916334\/347 + 89096. Find the common denominator of v and -4\/3.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -1059?\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-4)*-1)\/(((-6620)\/(-37072))\/((-10)\/(-2))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 - 29*r + 17. Let i be n(-29). Put -11, -2, i in descending order.\nAnswer: i, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -537, -484, -417, -330, -217, -72, 111?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 13*d - 11. Calculate g(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -215.7 + 217.7. Which is the fourth biggest value?  (a) -0.2  (b) -1\/4  (c) l  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2305, -33140, -116835, -279820, -548525?\n\"Answer: -4405*a**3 + 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -492*h - 896917 + 6273782 = -427*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t**2 + 315 + t**3 - t**4 - 315 as q*t + l*t**3 + m + k*t**4 + d*t**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -108500 to the nearest one thousand.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-4))\/(1\/(-6)). Suppose -4*y = u*g - 202, 0 = -0*y + 3*y + 5*g - 157. Let t be -2 - (0 + 2 + -11). Calculate the highest common factor of t and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from enfnlmy. What is prob of picking 1 e and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/18 and 25\/141?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -307760 (base 9) in base 10?\nAnswer: -182871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9\/205 or -0.08?\nAnswer: -9\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*r**4 - 83658*r**2 - 39*r + 37.\nAnswer: 24*r**2 - 167316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 2*n**2 - 72 + n**3 + 72 - 3*n**2. Calculate h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20133211 (base 5) to base 13.\nAnswer: 58790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 18, 58, 118, 198?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 3*q - 1008 = 53*q. Let s(o) = 3*o + 59. What is s(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 23 + -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -61622.9 and -0.5.\nAnswer: 30811.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 245095869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 3:39 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 224 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 3*q**2 - q + 2. Calculate the smallest common multiple of 7 and r(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (24\/40)\/(3*(-2)\/(-90)). Suppose 0 = o*j - 12*j + 102. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*a = 1901 - 3984 + 1675 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7980*i**4*v - 6*i**4 - 8*i**3*v - 1979641*i**2*v + 2*i*v wrt i.\nAnswer: -191520*i*v - 144*i - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57081, -115627, -175635, -237099, -300013, -364371, -430167?\nAnswer: -497395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -470  (b) -0.3  (c) -2  (d) -0.87  (e) 3\/5  (f) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.93  (b) -3  (c) -4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4946)\/6 - 2\/3. Is q\/(-21) + (-4)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9980073 kilometers in nanometers?\nAnswer: 998007300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.4123 - -47.5523. Let v = u + -46. Round v to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 6, 3\/8, 4, 254, 2\/43.\nAnswer: 2\/43, 3\/8, 1, 4, 6, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.557401 litres in millilitres?\nAnswer: 5557.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(40)\/(sqrt(8) - (sqrt(392) - sqrt(392)*1)) + -4.\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -9, 4, 72 in increasing order.\nAnswer: -9, 2, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -366 = -82*f + 143*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -24.7. What is the fourth biggest value in -0.5, 0, w, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -40162140 and -2.7.\nAnswer: -40162142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1503 is divided by 101.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 304 - 291 = 0. What are the prime factors of r?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 102788 and 44052?\nAnswer: 308364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 395, -2\/9, 1, 1\/5, -0.4 in decreasing order.\nAnswer: 395, 1, 1\/5, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 59481874.7 rounded to the nearest 1000?\nAnswer: 59482000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1384 > -1386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9*((-2)\/70*10\/4)\/((-2065)\/20650).\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39 - 39 - 24*y**2 to the form c*y + f*y**2 + p and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112) - (1*sqrt(112) + sqrt(112))*2)**2 - sqrt(112)) + ((0 + sqrt(112))*3)**2.\nAnswer: -4*sqrt(7) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.836 - 0.164. Let i = 0.1 - 0.1. Let b = i + -0.1. What is the nearest to b in 1, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 6*x**3 - 7*x**3 - 4*x**3 to the form r*x + d*x**2 + g + i*x**3 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u + 10*u - 2*l - 11 = 0, -4*l = u - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3*n + 12 = 0, 8 = 4*r - 2*n + 4*n. Let q be 0 - 0\/(-3 - r). Determine h so that 0 + q*h + 0*h**2 - 2\/5*h**3 + 2\/5*h**5 + 0*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v + 7 - 7*v + 6*v + (-4 + 4 - 1)*(2*v + 4 - 4).\nAnswer: -4*v + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -683*l - 4143. What is q(-6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 5*h - 6 - 4, 3*t + 2*h = 16. Let u be -1*(-36)\/8*t. Let m = 47 - u. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.071*-439.\nAnswer: -909.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/16?  (a) -2\/3  (b) -16106  (c) 0  (d) 1\/5  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29732844 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**1)**49\/(y**6\/y*y**(-2)\/y)*(y**(1\/4)*y\/(y\/y**(1\/2)*y))**(-2\/125) assuming y is positive.\nAnswer: y**(11751\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2220*c + 214 - 214 - 544*c to the form k + f*c and give f.\nAnswer: 1676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 12 = 2. What is the third derivative of -2*o**s - 4*o**3 + 5*o**2 + 3*o**2 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 + 7*a**2 + 5*a - 4. Let f be x(-6). Suppose f*w - 3*w = -19. Suppose -12 = -22*u + w*u. What is the highest common divisor of 40 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-13)*(-39260)\/(-1812))\/((-6)\/16).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 - 38. Suppose 2*m = a + 4, -4*m - 3*a = -v*a - 20. Suppose 0 = -2*w + m*j + 120, j + 2*j - 235 = -5*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/15)\/(11\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03708129 and 0.3.\nAnswer: 0.011124387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is a8 (base 12) in base 4?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.257 to 1 dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - 3 - (-1 + 1). Suppose w - 2*w + 44 = 0. Let q(h) = 2 - 45*h + w*h - h**2 - 1. Give q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.9 - 1.1. Let t be (-2)\/4*(-5 - -1). Let y = 0.5 + -0.3. Which is the third biggest value?  (a) y  (b) t  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3 - 1) + 2 - 68) + (2532 - 2534).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1615 by -323.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 10*x. Let h(p) = 17444696*p. What is h(g(y))?\nAnswer: 174446960*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -22 - 5110585.\nAnswer: -5110607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (18 - (16 - 3 - -14)) - 20\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, w: 2, l: 1, p: 9}. Give prob of sequence aww.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gqg when three letters picked without replacement from {t: 3, g: 2, m: 1, q: 2, z: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**3 + 379*c**3 + 119*c**3.\nAnswer: 495*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - r. Let m be ((-36)\/144)\/(2\/8). Let q(b) = -b**2 - 10*b. Let i(k) = m*q(k) - 2*x(k). What is i(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and 3.887.\nAnswer: 4.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 62378\/69 + -904. Is g bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 44185*d**3 - 53902*d**3 + 98088*d**3 + 3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = 2*a - 18006, -13*a + 8*a - 2*b = -45087. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of -m**5\/105 + 10*m**4\/21 - 128*m**3\/21 + 301*m**2. Solve b(v) = 0.\nAnswer: 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7504 divided by 4?\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 246910 and 9990.\nAnswer: 246663090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 7. Find the second derivative of 3*g + 0*g**2 + g + h*g**2 + 2*g**4 wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 16476 + 1780 = 4*i, i = 3*y - 11014. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23.84 + 0.71.\nAnswer: 24.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/(-2))\/(9\/12). Let s(t) = t**3 - 4*t**2 + 4. Let x be 5\/10 - 14\/(-4). Let d be s(x). Is d equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3*i**2 - 643*i + 23176. What is m(49)?\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/4758048 and -77\/528672?\nAnswer: 4758048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60885 = -434*v - 919*v for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 203 - 129. Let k = -332 - t. Solve -3*w = k, -x = 4*x + 5*w + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) -26  (c) 7  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of -i**4\/2 + 20*i**3\/3 - 32*i**2 + 64*i + 2668. Factor q(j).\nAnswer: -2*(j - 4)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 - 2*p**2 + 57*p - 53. Let l be f(6). Solve 3*d - 15*t + 19*t = 15, -l = 2*d - t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 3*n - 319000000. What is n rounded to the nearest one million?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 11*b**2 - 7*b - 28. Let f be k(10). Sort 1, -1892, f.\nAnswer: -1892, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/2*2768\/(-4844).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 137 - 8*n + 9*n + (-4 + 2 + 1)*(-3*n - 1 + 1) + 6*n + 0*n - n + n - 3 + 3 as u*n + y and give y.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000592974 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86 + 93 = i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/120)\/(33 - (-35438)\/(-1073))?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1653 = -37*z - 294 + 269. Calculate the remainder when 545 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4039 + -4038.9. What is the second biggest value in 2\/23, 0.5, 0, -3\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 16 - 4. Let w = 5 - j. Suppose 24 = 2*q - 5*v, -5*q + v + 6 = -4*q. Put w, 1, q in ascending order.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h**2 - 62*h + 19*h + 19*h + 19*h.\nAnswer: -6*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -2*f + 150 - 166, -11*f - 46 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 14) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from fffmpfpfoofmpopmmf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 17 = 3*j, 7*j - 5*y = -2*j + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32197356276 + 96.\nAnswer: 32197356372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/243868 and 31\/1040?\nAnswer: 63405680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1532\/5 or 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 299 = x, -4*j - 2*x = x - 237. Let m = -31 + 64. Suppose 5*s + m = 93. What is the highest common divisor of j and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 433244483*b**3 - 137306252*b**2.\nAnswer: 2599466898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**4 + 60*g**3 - 216*g**2 + 160*g.\nAnswer: -4*g*(g - 10)*(g - 4)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**3\/3 - 67142860*m**2\/3 + 75136016054400*m + 300544422312960.\nAnswer: 5*(m - 6714288)**2*(m + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 16, e: 2}. Give prob of sequence jee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 60\/1170*8\/((-16)\/6)*1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50141.\nAnswer: 7, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -4, 63, 0, -5 in ascending order.\nAnswer: -7, -5, -4, 0, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13631574, 13631586, 13631598, 13631610?\n\"Answer: 12*w + 13631562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 10*k + 11. Let n be i(8). Let h = n - -5. Let s be (h + 1)*(19 + 1). Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 e when three letters picked without replacement from sderqqdwrwds.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -1109*z. Let i(o) = -3778*o**2 + 2*o - 7. What is i(v(g))?\nAnswer: -4646490418*g**2 - 2218*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**2 - 3*w + 3*w + (-7 + 5*w + 7)*(-2*w - 3 + 3) + (3*w + 2*w - 2*w)*(-w + 5 - 5).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6427 - -6426.997357. What is y rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1760, 2258, 2756, 3254, 3752, 4250?\n\"Answer: 498*v + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8454046253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50593064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -78, 1\/12, -6.31, 2, 8 in decreasing order.\nAnswer: 8, 2, 1\/12, -6.31, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -135 - -170. Let y be 84\/o + (-4)\/10 - -1. Solve -2*g + 7 = -y*k + 4*k, 0 = 4*k - 2*g - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 263352887\/564 + -466938. Find the common denominator of -65\/22 and h.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = b. Let d be (-186)\/2*(-1)\/2. Let c = d + -45. What is the closest to b in -2, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-7*7\/147.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 236371 + -5?\nAnswer: 23636a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -17*b**2\/3 + 32*b\/3 + 4\/3 = 0.\nAnswer: -2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3*z = 17, 10 - 1 = 4*m - z. Calculate the greatest common factor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/111 and 16\/15?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02 - -0.098.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -387*r**2 - 134*r - 7942 + 7942 wrt r?\nAnswer: -774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 11) to base 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d\/d**(6\/23))\/d*d)\/d*d)\/d*d*d**2\/d)\/(d**(8\/9)\/d)**(2\/7) assuming d is positive.\nAnswer: d**(4015\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.74, -5.3, -5\/2, -14 in descending order.\nAnswer: 0.74, -5\/2, -5.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 4:46 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 11*j**3 - 11*j**2 - 8*j + 8. Let k(g) = -4*g**3 + 4*g**2 + 3*g - 3. Let n(y) = -y - 1. Let d be n(-4). What is d*v(c) + 8*k(c)?\nAnswer: c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1102\/4959 + ((-446)\/(-18))\/1. Solve -7*h + 12*h = -g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - ((0 - -5) + -18 + 0 + 15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u + 2*k - 6, 107 = 4*u + k + 100 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.15 - 0.05. Which is the closest to -1?  (a) l  (b) -0.4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + -3 - 6\/(-2). Let c(h) = 15*h**2 - 4*h - 3. Is c(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 94 and -5.27131.\nAnswer: -495.50314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 301261592.\nAnswer: 2, 37657699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8687878181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 17*f - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -10*u + 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 93 (base 16) to base 2\nAnswer: 10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21670.\nAnswer: 2, 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.6 - 0.7. Let i = -0.732 + j. Round i to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 357b - 23?\nAnswer: 3558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 69299876 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -480*w + 727*w - 2599 = -17940 - 714 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(48)\/sqrt(4))\/((sqrt(72)*-1)\/sqrt(12)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/27 + (-144)\/(-2430)*-3?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 100*k - 102*k + 390. Let a be 4\/(-22) + k\/286. Solve 3\/2*c + 0 + 2*c**2 + a*c**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2625*n - 1283 + 1283.\nAnswer: -2625*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - (-239992)\/2) + 3. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 3959 = 5*a - 2*i, 2363 = 3*a + 5*i. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 22808, 45516, 68224?\n\"Answer: 22708*n + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, l: 3, w: 2, c: 1, k: 13}. Give prob of sequence kg.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17.08859 - 0.03941. Let n = m + 0.128. Let j = 37\/24 + -7\/8. Which is the closest to n?  (a) j  (b) -4  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/755 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -8809 divided by -1\nAnswer: 8809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/10 and 161\/1022790.\nAnswer: 1022790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*c**3 + 1013885611*c - 1013885611*c.\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + 17. Let q = 34 - l. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 208952708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56*q + 325077 - 325076 + 164*q**2 - 38*q**2 wrt q.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 2383 = -2*a - 3*r, 5*a - 2415 = -5*r. Suppose -a - 46 = -5*m. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 7 = -q + 49, 98 = 2*q + 5*p. Let n be (-32)\/2*q\/(-36). Sort 0, n, 4.\nAnswer: 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 8:46 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 35 = 19. Let r = -4 - o. Let k be 0*1\/2*-1. Solve k = -2*d - 3*w + 10, r*w + 8 = 2*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * -0.0772.\nAnswer: 0.5404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, -6, -11, 6, 63, 178?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 8. Let f(x) = x**2 + x - 1. Does 22 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-4\/9)*a)**(-27))**(17\/2) assuming a is positive.\nAnswer: a**(-255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**2 + 14*h + 8. Let j be g(10). Let c = j - -1209. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 362 + 530. Let m = v - -295. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47886 is divided by 129?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.8 + -0.2. Let a = -0.841 + -0.159. Let y = -31\/22 + -1\/11. What is the second biggest value in y, a, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74603 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of x**4\/4 + 20*x**3 + 7*x**2\/2 - 3*x + 4. What is the second derivative of y(u) wrt u?\nAnswer: 6*u + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 + 108*x + 1869. Calculate v(-20).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -11096*r**3 - 40*r**2 - 10*r + 10. Let b(c) = 29589*c**3 + 108*c**2 + 27*c - 27. Give 10*b(h) + 27*j(h).\nAnswer: -3702*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**4\/5 + 132*k**3 + 34606*k**2\/5 - 11626116*k - 11632905 = 0.\nAnswer: -269, -1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/40181 greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 7*c - 6 = -36 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p - 6. Let c be w(-5). Suppose -37 - 3 = c*d. Let m = d - -19. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-153)\/510)\/(1\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.488347 decades?\nAnswer: 0.00488347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 - -0.3. Let y = -43\/4 + 11. Let m = 1.2 + -1.5. Which is the nearest to y?  (a) n  (b) -0.2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/85, 3, 26, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3178 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from oswwowwoosww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22\/8 + -2)*12\/(-18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b - 557a0d?\nAnswer: -557a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -8764.4 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4676005 (base 9) in base 12?\nAnswer: a203b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-81))\/((-15)\/9)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.06833152 minus 97.68?\nAnswer: -106.74833152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2057 + -1312. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10968 - -10971. Let k(p) be the third derivative of -1\/12*p**4 + 0 - 1\/120*p**6 + 1\/10*p**5 - 30*p**2 + 0*p + p**l. What is k(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7680?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 60*j + 431*j**4 - 817*j**4 - 60*j - 4*j**3.\nAnswer: -2*j**3*(193*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -171248 and 0.04.\nAnswer: -171247.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/((-875)\/(-180)))\/((-418)\/(-95))\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*u + 0*u + 4*u + 36*u**2 to the form i*u**2 + o + n*u and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2110*b + 779 = -2151*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) 97  (c) 0  (d) 2\/11  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -237, -945, -2137, -3813?\nAnswer: -5973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -8.32. Let x = 35.32 + -33. Let j = w - x. Which is the closest to 1?  (a) j  (b) -2\/11  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1021*q**3 + 33*q - 21?\nAnswer: 6126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**3 + 0*i**3 - 288*i**2 + 4*i**3.\nAnswer: 2*i**3 - 288*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -820 - -724. Is -24*(-8)\/c*-3 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8087.935 + -8030. Let k = 7 + 51. Let f = k - x. What is f rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 285419 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 4. Suppose l*f + 2 = 6. Solve 15 = f*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*s**4 - 156332*s**3 - 21191420*s**2?\nAnswer: 192*s - 937992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (27 - -4) + (-1 - -3). Let l = f - 28. Suppose r - 14 = -2*u, -l*r = -4*u + u + 47. Solve -2*a - p + u = -6*p, a = p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/76 and -51\/86374.\nAnswer: 172748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 505589 is divided by 249?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - 2 - (72 + (-43 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -111120222002 (base 3) in base 2?\nAnswer: -1000001010011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 10*o**2 - 5*o - 3. What is the remainder when z(11) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 49, -2, -5 in increasing order.\nAnswer: -5, -2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b + 2. Let f = -13 - -9. Let t = f - -2. Let s = t + 4. Determine i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92, 267, 518, 851, 1272, 1787?\nAnswer: 2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gbbkgokposks. What is prob of picking 1 o and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 424\/(-6)*-32*441\/18816?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3720050011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.8 - -0.4. Let m = -3 + c. What is the third smallest value in 1, 3\/2, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -58 - -99. Suppose 6 = 6*t - 3*t. Suppose -t*y + 14 = -y. Calculate the remainder when c is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u - 15*n + 85, 0 = -3*u + n + 13 + 12 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of o**6\/144 - o**5\/12 + o**4\/4 + 5*o**2. Let f(q) be the second derivative of k(q). Is f(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of 2*t**7\/7 + 8*t**3\/3 + 8*t. Find the second derivative of d(y) wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(62\/(-10) - -6) - (8178\/1230 + -6)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115896 - 115896 + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 + 29. What is the smallest value in -4, 1\/2, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4273 >= 4269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10\/1753, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.83 + -4.83000402. Round m to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1027\/(-553)*(-21)\/(-3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q**2 - 1768*q - 3540 = 0. Calculate q.\nAnswer: -2, 1770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u**3 + 1. Let s be r(-1). Find the second derivative of -3*g + 2*g**s - 3*g**3 + 5*g wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 208*l**3 + 743*l - 135*l**3 + 387*l**3 + 232*l**3 + 230*l**3 wrt l.\nAnswer: 5532*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Factor 2*c**4 - 220*c**3 + 6258*c**2 - 11016*c - 17496.\nAnswer: 2*(c - 54)**2*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -1.16, 2191, -4\/3?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1512, -23, 0 in decreasing order.\nAnswer: 0, -23, -1512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gtv when three letters picked without replacement from vgttkvvttttggvtvgggv?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -100 and -2410.4.\nAnswer: 241040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g**5 - 2*g**5 + 4*g**5)*(-2 + 2 + 2 + (-5 - 17 + 1)*(201 - 42 + 29)).\nAnswer: 7892*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -389\/4 - -97. Let y = -0.764 + 49.764. What is the closest to 1 in f, y, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1502217949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*c - 143*c = -4. What is the highest common divisor of c and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 8) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 102*q**2 - 3*q - 13. Let n(b) = 103*b**2 - 4*b - 4. Let p(v) = -5*h(v) + 4*n(v). Find the second derivative of p(w) wrt w.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(-16))\/(a\/a**(-1\/29)*a))\/((a*a**15)\/a*(a\/(((a*a**13\/a)\/a*a)\/a))\/a*a))**42 assuming a is positive.\nAnswer: a**(13356\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 57447781 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/3 + 19662*f**2 - 294899*f\/3 - 117962 = 0. Calculate f.\nAnswer: -1, 6, 58981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14.28 + -14. Let q = -0.197 + 0.529. Let u = q - v. What is u rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 1. Let s(g) = -259*g - 238. Let d(u) = 16*u + 15. Let y(z) = -49*d(z) - 3*s(z). Determine -21*p(r) - y(r).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 879\/276 + (-56780)\/130594\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 5*-5*1*(0 + sqrt(3))*6.\nAnswer: -150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 7*q**2 - 784*q + 24872. What is v(32)?\nAnswer: 6952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = b + 7. Suppose -b*w = -7*w. Suppose 0 = 2*j - w - 4. Solve 0 = -j*h + 4*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 350081142?\nAnswer: 2, 3, 1979, 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2745, -3638, -4531?\n\"Answer: -893*u - 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 2, -60\/19, 1 in descending order.\nAnswer: 2, 1, -1\/5, -60\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0039279 rounded to four decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - b - 8 = 0, -11*b + 32*b - 12*b + 35 = 2*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*z**3 + 0 + z)*(-2*z + 2*z + 7*z + (4*z - z - 2*z)*(0 + 3 - 2)) in the form v*z + p*z**2 + a*z**4 + k + h*z**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*3)*-5)\/((sqrt(72) + sqrt(72)*3 + sqrt(72))\/sqrt(8))*-1.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5852443*c - 10. Let k(f) = 23409771*f - 41. Let h(t) = 2*k(t) - 9*m(t). Let y be h(2). Let n = y + 28904882. Round n to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 36, 51, 66?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 245210 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 66345022 to the power of 1\/3, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4371.\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1914*d - 2718*d + 822*d - 1329*d - 3434*d)*(-2*d**2 - 3 + 3)*(4*d**2 + 2*d**2 - 7*d**2).\nAnswer: -17146*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c + c)*(3*c**2 - 3*c**2 + c**2)*(0*c**2 - c**2 - c**2 + (c + 0*c - 3*c)*(5*c - 2*c - 2*c) - c**2 + c**2 - c**2 - 739965 - 994*c**2 + 739965).\nAnswer: -999*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a + 810 = 6*a. Let o = a + 163. What is the greatest common divisor of o and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(14*2\/7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 12*u + 8. Let h be f(4). Let q = h + -223\/4. Which is the third biggest value?  (a) q  (b) -5  (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -16741\/19 and -880 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 27*p**2 - 28*p + 1. Let f be u(-28). Let b = 16 - 16. Let i be 2 + b + 0 + -2. Solve i = k - 0 + f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8394 - 5?\nAnswer: -8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of 7*x**2 + 4*x + x**4 - 4\/5*x**5 + 16\/3*x**3 + 5 - 1\/3*x**6. Find g, given that y(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6613 + -6613. Solve -a = -2*v - 4, a - v = -j*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-15)\/2*((-36)\/15 - 4). Let w = 31 + t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -4*c**3\/21 - 18*c**2\/7 + 40*c\/7 - 26. Factor y(o).\nAnswer: -4*(o - 1)*(o + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + 3*sqrt(1331) + sqrt(1331) + 2)*5)**2 - ((sqrt(1331) + 2 + -2)*-6*6)**2.\nAnswer: -1191676 + 13200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 129274 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -125, 5, 4, 1, -20, 15, -2.\nAnswer: -125, -20, -2, 1, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2186 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of r**9\/72 - r**5\/20 - r**2. What is the third derivative of k(o) wrt o?\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + v = -15148 - 1246, -4*v + 21864 = 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -19*z + 55. Suppose 0 = 7*o - 8*o + 70. Calculate the remainder when o is divided by b(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (73*l**2 - 37*l**2 - 34*l**2 + 205)*(13*l + 14*l**2 - 13*l).\nAnswer: 28*l**4 + 2870*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 73132 and 142222?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60731746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3550*(-3)\/(-6) - 2. Suppose 4*l - 4*t - 1778 = 2*l, 2*l - q = -t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 645, 1285, 1923, 2559, 3193, 3825, 4455?\nAnswer: 5083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/13)*n*n**(-1\/4))**(4\/3) assuming n is positive.\nAnswer: n**(35\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -190*o - 3766. Determine p(-22).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) 0.01965  (c) -7\/18  (d) -1\/42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16067.25 kilograms to tonnes.\nAnswer: 16.06725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 55967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4073131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z + 9. Suppose 2*i = -10 - 6. Let y = 13 + i. List the prime factors of r(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1896*s**2 - 7311*s wrt s?\nAnswer: -3792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4375045 by 3821.\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1424, 1\/8, -3 in increasing order.\nAnswer: -1424, -3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*q**2 - 3*q + q**2 - 2*q wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 2*m**4\/3 + 7*m**3\/3 + 2*m**2. Let t(h) be the first derivative of -h**2\/2 - h + 3156. Calculate -4*k(p) - 56*t(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9970\/3 + -3247. Let j = k + -75. Let r be (-38)\/9 - (-2 - 18\/9). Which is the smallest value?  (a) r  (b) -6  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12414 (base 5) to base 6.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 281 = o, 461 = 5*l + 2*o - 0*o. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -323\/189 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11185.05433 - -11185. Let i = k - -0.05424958. What is i rounded to 6 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4 = 0, r - 3*c - 3 = -0*r. Let y = 91 - 89. Let w(u) = -u**3 - 8 + u**2 + 2*u**2 + 19 + 6*u**y. Let z(i) = -4*i**2 - 5. What is r*z(l) + 4*w(l)?\nAnswer: -4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 252715200 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a hour in minutes?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04 - -0.26. Let r be 2\/5 + 24\/(-135). Which is the nearest to -1?  (a) -1  (b) n  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2228830479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10537*p*x**2 - 3*p*x + 72*p + 2*x**3 - 37*x - 3 wrt x?\nAnswer: 21074*p + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*x = -2*x + 353, -5*z = 3*x - 437. Calculate the smallest common multiple of 33 and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10629462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 14*d + 4 + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.61 times -18.7?\nAnswer: -11.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1808879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 2*l = 12, -q - 13 = 4*l + 5. Let t = q - -8. Let y be 1*49\/637*(5*3 + -2). Solve t*v - y = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -472, -962, -1452, -1942, -2432?\n\"Answer: -490*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2.724809 litres?\nAnswer: 2724.809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15\/100 - (-4)\/(-10). Sort 1\/3, -3\/7, -5, y in decreasing order.\nAnswer: 1\/3, y, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33?  (a) -69  (b) -13\/489  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*z**5 + 148*z**4 - 152*z**3 + 32*z**2 = 0. Calculate z.\nAnswer: 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 51088 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -3*l + 87, -2*u = -4*l + 3*u + 116. Suppose 0 = -4*c - j + 49, 30 = 5*c - j - l. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13348 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 17. Let b be -2 - (-2 - -1 - g). What are the prime factors of (10\/8)\/((-1)\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10024 divided by 16?\nAnswer: -1253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 15242 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -936, -927, -904, -861, -792, -691, -552?\n\"Answer: n**3 + n**2 - n - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13202771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36288 is divided by 4661?\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3980 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -55 + 295. Suppose r = -8*x + 4*x. What are the prime factors of 351\/15 - (-12)\/x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-20)\/420 + 800\/42. Calculate the highest common divisor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of -t**6\/120 - 61*t**5\/30 - 589*t**4\/24 - 78*t**3 + 30*t**2 - 4*t - 28. Factor w(g).\nAnswer: -(g + 1)*(g + 4)*(g + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1862) - sqrt(1862) - (5*sqrt(2432) - sqrt(2432)))\/(4*sqrt(22)\/(sqrt(11) - -2*sqrt(539))).\nAnswer: -345*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 12*l - 57774 = -2*n, -5*l + 28869 = n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - ((-13)\/1 + 10)\/1*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9*(-28)\/1134 + 191\/9. Suppose 20 = 5*v - 820. Calculate the greatest common divisor of p and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3 + 9454*k**2 + 75528*k + 113256.\nAnswer: 2*(k + 2)*(k + 6)*(k + 4719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by -6\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**3)\/(m*m**6))**15\/((m**(-3)\/m**(4\/9))\/((m\/(m*m**(4\/3)))\/(m\/(m*m*m**(2\/29)*m*m)))) assuming m is positive.\nAnswer: m**(-10393\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3096 - -3796. What is the greatest common divisor of r and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpw when three letters picked without replacement from pvvkwvqkvqqp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (102*w - 12*w + 208*w)*(-w**2 + w**2 - w**3) + w**4 + 0*w**4 - 3*w**4 in the form d*w**2 + k*w**4 + l*w**3 + i + y*w and give k.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -186*n**2 + 1671*n + 22. Calculate x(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15414170, -15414172, -15414174, -15414176, -15414178?\nAnswer: -15414180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26 and 38647.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3504\/11 greater than 318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (0 + 4 + (-15 - -4) - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of -r**4\/6 + 1134*r. Let g(u) = -612*u**2. What is g(v(i))?\nAnswer: -2448*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2736.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/7)\/q)\/q**2*(q**0)**(-42) assuming q is positive.\nAnswer: q**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 - 7*w - 45. Determine i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -9b (base 13) in base 16?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 1. Let f(i) = -3*i + 17. Let n(w) = -f(w) - 2*l(w). Let t be n(15). Is (6 + 13)\/(2\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60338.\nAnswer: 2, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4611*m**3 - 7188*m**3 + 5730*m**3 + 20213*m**3.\nAnswer: 23366*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 8*s = -9. Suppose -o + 11 = s. Is (8 + 25)*o\/6 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(117) - (sqrt(117)*2 - sqrt(117))) + 5 - (sqrt(117) + 0 + 3))**2.\nAnswer: -484 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/1*(-3)\/6. Let c = u - -2. Let y = -28 + 14. Let w(r) = 3*r - 2. Let h(o) = -10*o + 7. What is c*h(d) + y*w(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -5. Let x = -3.5 + 3. Sort -1, j, x in decreasing order.\nAnswer: j, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 0.14187.\nAnswer: -0.42561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 - -26. Let h(y) = y**3 + 6*y**2 + 3*y - 6. Let i be h(9). Suppose 54*x - i = 48*x. What is the least common multiple of x and z?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21531.\nAnswer: 3, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 6:24 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -3*f**3 - 3*f**2 - 2*f + 1. Let w be u(-2). Suppose 8 = w*s - 13*s. Solve 5*i + s = -18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 11*u**2 + 2*u - 22. Let v be q(11). Let l be 2\/8 + 21\/12. Let d = 3 + l. Solve 0*g + g - d = v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3*(10\/(-6))\/(-1). Suppose -2*r + 86 = -p*s, 4*s + 44 = -4*r - 8. Let o(f) = f + 20. Let v be o(s). Solve -2*i + 1 + 9 = -4*w, -v = -2*i - 2*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1667768.\nAnswer: 2, 17, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ainnhzzenahzeanhzene. Give prob of picking 3 n and 1 a.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 + -14. Let s(k) = k**3 - 3*k + 1. Let t be s(y). Suppose 2*f = -8, -5*z + 2*f - t*f = -6. Solve -2 = -4*w + z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**5\/9 - 146*i**4\/3 - 3855*i**3 + 1041854*i**2\/9 = 0?\nAnswer: -319, -142, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (77\/14 - 2\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 71073224 and 4?\nAnswer: 71073224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*b - 22. Is b < 2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 526 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2023*a**2 - 12158*a - 21. What is t(-6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24937 + 24952. What is the highest common factor of o and 1767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 4\/5, -2, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 29*y + 5. Let t(u) = 2*u**2 - 4. Let k(w) = 18*w**2 - 39. Let q(g) = -4*k(g) + 39*t(g). What is d(q(x))?\nAnswer: 174*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence po when two letters picked without replacement from {o: 1, s: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1126831 is divided by 4334.\nAnswer: 4325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 16828, -2, 4, -3 in descending order.\nAnswer: 16828, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x - 4. Let g be z(4). Suppose 0 = -g*c - 3*c + 21. Suppose 2*i - 8 = -4*o, -3*i + o + 28 = 3*o. What is the remainder when i is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2203 * 14856.\nAnswer: 32727768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/(0 - (-2)\/(-14)). What is the units digit of 16\/(-20)*j\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -256340 and 5.\nAnswer: -1281700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 8:58 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.67956 times 0.1\nAnswer: -0.067956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + q = -4, q = -4*z - z + 20. Suppose z*i = -i + 20. Sort 1, i, -4 in decreasing order.\nAnswer: i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -57301179, 0 in decreasing order.\nAnswer: 5, 0, -57301179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 828?\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1917.6297 months to centuries.\nAnswer: 1.59802475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 PM and 4:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1728 - 159 = -37*m - 16 - 783 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -5*c - 0*g - 10, 2*c + 22 = 4*g. Calculate the remainder when (-2)\/(-4)*(7 + c) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d + 5*c - 0*c + 23, -25 = 5*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -5834 - 5500. Let i = -4456 + p. What is i rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220010 (base 3) to base 12.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of p**6\/27 - 4*p**5\/45 + 4*p**3\/27 - p**2\/9 + 25. Determine l, given that x(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(20\/(-3))*2)\/(6\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 10*x + 839. Give g(-37).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 u when four letters picked without replacement from {g: 3, u: 6, z: 5, b: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j**2 - 6*j**2 + 14*j**3 + 0*j**3 wrt j.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*t + 46 = 5*m - 44*t, m - t = 10. Calculate the least common multiple of -8*((-35)\/10 + 3) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 h when four letters picked without replacement from {h: 7, x: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 238 by -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/(-180))\/((-1)\/(-1)*-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 plus -3.6922?\nAnswer: -3.3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14132979 and 741?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 + -17. Solve -3*i = i - r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 71 + 45 = 0. Suppose 0 = -4*h + 257 + 187. What is the remainder when h is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 100110010?\nAnswer: 100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 9, n: 7}. Give prob of picking 1 n and 1 v.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 350, 370, 410, 476, 574, 710, 890?\n\"Answer: c**3 + 4*c**2 + c + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwpkwwkkpkwwpp. Give prob of sequence kwpw.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1406.9 + 1407. Which is the nearest to p?  (a) 221  (b) -0.03  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + 3*d - 7. Let x be h(-5). Suppose -x*a = 4*p + 7, 2*a + 2*p = -0*p - 2. Suppose 5*c = 5*j + 38 - a, j - 9 = -c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -13, -1\/5, -0.03, -0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 6\/2*24\/(-9). Let w be b*(-5)\/((-50)\/(-4)). Solve n = w - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -3*u - 3, 3*u = 5*g + 4 + 23. Put u, -2, 28 in decreasing order.\nAnswer: 28, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 9*n + 112 = 0. Suppose 2*b - 112 = -0*b. What is the highest common divisor of n and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -7 - 8. Let c(d) = -4 + 5*d**3 - 6*d**y + 0*d + 3*d**2 + 7*d - d. Let n be c(4). Solve -n*s + 8 = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4161 - -4161. Which is smaller: -10\/7149 or k?\nAnswer: -10\/7149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -11*q**2 - 206*q + 212. Calculate m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jtthohhjo. What is prob of picking 1 j and 2 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308 = -2*c - 4*r, -14*r + 18*r - 172 = c. Let b = 293 + c. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1132206.\nAnswer: 2, 3, 188701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**2\/6 - 77*b\/3 - 51\/2 = 0.\nAnswer: -153, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -291  (b) -521  (c) 0.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 506 - d?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5373315 a multiple of 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + -2 + -3 + -35 + 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74773*f - 74774*f = -5*y - 57, f + 16*y = -27 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 5*q - 17*q + 6*q + 5*q. Determine t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2884*k. Let p(s) = 14*s - 4. Determine w(p(u)).\nAnswer: -40376*u + 11536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*291.\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/(-16*(-260)\/7488).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 10:56 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + 16*n + 2. Let f be z(10). Let t = f + -26. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 25*d**2*n*o + d**2*o*p**2 - 288*d*o*p + 9*d*p**2 - 285*n*o*p**2 + n*p**2 - 6*o*p**2 wrt n?\nAnswer: 25*d**2*o - 285*o*p**2 + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.84 * 1.2\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**27)\/u*u)\/((u*u*u**6*u*u)\/u))\/(u**5\/u)**34 assuming u is positive.\nAnswer: u**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**2. Let a(z) = -z + 4. Let x be a(-6). Let w = -328 + 330. Let p(o) = -w*o - x*o - o. Give d(p(v)).\nAnswer: 338*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1526 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.8571*-11\nAnswer: 9.4281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7196749)\/21*3*(-2 + 1). Suppose -2*g - l - 331893 = f, 4080000 = -3*f + 3*g. What is f rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14295 divided by 4765?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -55 - -85. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15*h*z**3 + 10*h*z**2 - 61*h + 2*z**3 + 11*z**2 + 3380 wrt h?\nAnswer: -15*z**3 + 10*z**2 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is the millions digit of 1530091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 392*p**3 - 198*p**3 + 252*p**3.\nAnswer: 446*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -11*m**3 - m**2 - 3 - m + 13 + 11 - 4 - 11*m**3. What is the units digit of f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14224 divided by -6\nAnswer: 7112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*g**4 + 344*g**3 - 4028*g**2 - 344*g + 4032 = 0. What is g?\nAnswer: -1, 1, 14, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 247467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (4\/24 - 359\/30) + 3 and -79\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18853 - 7 - (-10 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 637819 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -3237.41 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 19066125.\nAnswer: 4\/19066125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-81)\/135)\/((-2)\/(-2)). Let w = 35.3 - 35.5. What is the nearest to w in 2\/7, g, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -3) + (-3 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 110001022212 (base 3) in base 7?\nAnswer: 2005304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 3883?\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/3*3*-2. Let r be 3\/2 - j\/4. Sort 2\/5, -1\/7, r in descending order.\nAnswer: r, 2\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**3 - 5*l**3 + 4*l**3)*(-2 + 7 - 3)*(98*l + 92*l - 264*l).\nAnswer: 296*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -16\/5*y + 1\/5*y**2 - 36\/5 = 0. What is y?\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -28*j**2 - 2. Let s(f) = -23*f**2 - 3. Let l(z) = 5*s(z) - 4*x(z). Let t(m) = m**2 + 4. Give 3*l(y) + 5*t(y).\nAnswer: -4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*s - 121 + 121)*((-7 + 16 + 5)*(-2*s - 3*s + 2*s) + 7 + s - 7).\nAnswer: 984*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, 4, -630891, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 22269336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 33 = q, 3*l - 15 = 8*l. Let c = q - 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/1209 and 34\/1515.\nAnswer: 610545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 1121201?\nAnswer: 1121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -5*g + 8*g - 69, -2*j - 62 = -4*g. Calculate the lowest common multiple of g and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 9, 23, 51, 99, 173?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of k**3\/6 + k**2 + 503. Let h(y) = -10*y + 2. Give h(j) - w(j).\nAnswer: -10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 180 - 128. Suppose -5*j + 38 = -4*k, -3*j = j + 4*k - y. Let v = j - -8. 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 fourth smallest value in -0.1, 2\/35, -1\/756, 0, -4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, v: 2, m: 3, u: 3, n: 6}. What is prob of sequence nvmu?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3070 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 2*m**3\/3 - 794*m**2\/3 - 248642*m\/3 + 13232474\/3 = 0.\nAnswer: -239, 47, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -71*a - 4444. Calculate n(-63).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) -2041  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.13 and 65.\nAnswer: 65.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -234 or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 629, 630, 631, 632, 633, 634?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 124888 divided by -67.\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -0.006, -2, 0.2, 0.3 in descending order.\nAnswer: 0.3, 0.2, -0.006, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 n when four letters picked without replacement from vnjvjlvvnj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of 0*x - 1\/24*x**4 - 1\/6*x**3 + 12*x**2 + 0. Let n be f(-3). Solve 0 = -r - n*v - 2, -2*r - 4 = v + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 6*q + 0 to the form x*q + a and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 12*l. Let c = -464 + 464. Suppose c = 84*a - 95*a + 11. Calculate k(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -4 - 5. Let a(y) = y**3 + 5*y**2 + 3*y - 1. Let h be a(-4). Let n(g) = h*g**3 - 3*g**3 + g**3 + 3*g**2. Calculate n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 481641 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -100100?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (42\/9 + -4)*(2 - -3 - 6). What is the nearest to p in -1, -2\/31, -2\/3, -0.05?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 AM and 9:13 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3427069484.\nAnswer: 2, 47, 277, 65809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 95894473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*a + 14190 = -698*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*a**2*d**2*l + 2566918*a**2*d*l - 2*a**2 + a*d**2*l + a*d*l + 6457*a*l + 480*d**2*l wrt a.\nAnswer: -26*d**2*l + 5133836*d*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 + 56 + (-5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 7630057.38 to the nearest ten thousand.\nAnswer: 7630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2293095481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/5 - 277687*t**2\/5 + 555377*t\/5 - 277689\/5.\nAnswer: -(t - 1)**2*(t + 277689)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12810 + 12829.442. Let l = g - 4.29. Let p = l + -15. What is p rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -1, -2\/5, -1\/10, 142110 in ascending order.\nAnswer: -1, -2\/5, -1\/10, 65, 142110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3573\/12980 - -3\/1180. Sort 2\/13, f, -7, 0.1, 4\/5.\nAnswer: -7, f, 0.1, 2\/13, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8192*m**3\/9 + 72192*m**2 + 1908576*m + 16819326 = 0. Calculate m.\nAnswer: -423\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28433300?\nAnswer: 2, 5, 7, 151, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 493698 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 17\/36 + 2\/(-8). Let j = 510.1 - 570. Let x = j - -60. What is the third biggest value in 0.4, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 362960 divided by -520.\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -8*y + 186. Let x(t) = 53*t**2 - 4*t. Give z(x(g)).\nAnswer: -424*g**2 + 32*g + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 31102 - -3?\nAnswer: 31105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32361 and 1126839.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mc when two letters picked without replacement from qxxctmcaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 765148 and 3060592.\nAnswer: 3060592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(104)*-1 + sqrt(104) + sqrt(104)*1*1)*-5*3)\/((sqrt(64) + sqrt(64)*1*2)\/(sqrt(72)*-2)).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 3:19 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + 12*h**2 - 4*h + 14. Let p be n(-12). Let z = p - 15. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - m + 32 = 0. Let w(p) = p**2 + 7*p + 2. Suppose 5*l - 9 + 44 = 0. What is the smallest common multiple of m and w(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117575606 to the nearest integer?\nAnswer: 10843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3900857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q. Let b(u) = 7*u - 1. Let n be 268\/45 + (-74)\/(-1665). Calculate n*k(d) - b(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5809, 5827, 5845, 5863?\n\"Answer: 18*j + 5791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21797019 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -12?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 16, 91, 214, 385, 604, 871?\n\"Answer: 24*b**2 + 3*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -5.85. Let r = -3.85 + b. Let i = 4.03 + -0.03. What is the third biggest value in i, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 334177, 2673206, 9021989, 21385402, 41768321, 72175622, 114612181, 171082874?\nAnswer: 243592577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 5*u**2 - 386*u + 163. Give y(76).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11938 + 2089141\/175. Let o = h + 309\/175. Factor 9\/7*r**2 - o - 3\/7*r**3 + 0*r.\nAnswer: -3*(r - 2)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25*((-339)\/339 - (-18)\/10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -5*v**6\/6 - 2*v**5\/5 - 28*v**3\/3 + 105. Find the third derivative of l(a) wrt a.\nAnswer: -300*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 265*z**2 + 98*z + 501. Determine l(-5).\nAnswer: 6636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 76, -2\/9, 3\/5, -127?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + 1. Suppose i*t + 0*t = -25. Let q = t + 12. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -47, 25, -179, 2.\nAnswer: -179, -47, 2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sci when three letters picked without replacement from siciisiiisissiiis.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -14*z + 60. Give t(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 11*y**2 - y + 17. Let n be k(11). Solve i = 3 - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c**3 + 8*c**3 + 3*c + 4*c**3 + 9*c**3.\nAnswer: 22*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 142*g**2 - 205*g + 29014. What is i(142)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 48, 33, 695, 1, -2 in decreasing order.\nAnswer: 695, 48, 33, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - (0 + (4 - 2)). Let j be (-4 - (-3 + x)) + 714. What is the common denominator of -45\/16 and (j\/(-12))\/5 - -1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of 1\/30*w**5 + 0*w**4 + 0 - 67*w**2 + 0*w + 0*w**3. Let y(m) = 12*m**2 - 2. Give l(y(v)).\nAnswer: 288*v**4 - 96*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -12\/10384975 and -2\/175.\nAnswer: 72694825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -442\/21. Calculate the common denominator of -16\/15 and q.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 10 = s. Suppose -s*y + 56 = -0*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 5*m - 189. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.3299712 - -1.33. Round f to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 3*m. Let f(v) = 2*v. Let k(n) = -4*f(n) + 3*z(n). Let i(q) = 3*q. What is k(i(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**2 - 213 - 290 - 5*i - 239 + 626 in the form c*i**2 + g + y*i and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33098 - -33100. Let 0 - 4*h**r - 14\/15*h**3 - 16\/15*h = 0. What is h?\nAnswer: -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 263 - 257. Calculate the least common multiple of 7 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/33 and 16\/27159.\nAnswer: 27159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1919.9801297 + 1.126.\nAnswer: 1921.1061297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -156.39 - -165. Let h = -9 + c. Let p = 0.79 + h. Put 0.7, p, -4\/7 in ascending order.\nAnswer: -4\/7, p, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18784\/(-1761))\/(2\/3) - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 d, and 1 z when three letters picked without replacement from zbdgvvcvcddzzcv?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-5 + 5 - -4 - (15 + -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 180271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - (0 - -21) - -20) + 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.73 - -0.88. Let g = 0.15 - o. Which is greater: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 7:25 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 60, 56, 52, 48, 44, 40?\n\"Answer: -4*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -76*j**2. Let w(l) be the third derivative of 2*l**2 + 0*l**4 - 33*l + 0*l**3 + 0 + 1\/60*l**5. Calculate u(w(g)).\nAnswer: -76*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 6:30 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 - -80. Suppose -820 = -2*o - 0*o - 4*p, 15 = -5*p. Let n = o + -1235\/3. Calculate the common denominator of g and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157409391 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(2\/(-6))*(-129)\/((-5633)\/(-131))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + -6 + 3)*-1. Suppose v*z - 10 + 2 = 0. Let a = 22 + -11. Calculate the lowest common multiple of a and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 13  (c) 4  (d) 5\/7  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.4 - 26.6. Let z = -12 - x. Let o = z - 16.4. Which is the nearest to -0.1?  (a) 2\/7  (b) -1\/2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37597110, -75194228, -112791346?\nAnswer: -150388464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(171) - 2*sqrt(171)*-1)*5)\/((sqrt(3267)*1)\/(sqrt(3) + (sqrt(3)*2 - sqrt(3))*-5)) + -5.\nAnswer: -5 + 300*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 274337, 274334, 274321, 274292, 274241, 274162?\n\"Answer: -y**3 + y**2 + y + 274336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 26 + l**2 - 35)*(2*l - 4*l + l).\nAnswer: -l**3 + 23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -63608*l**2*p**2 + l**2 - l*p**2 + 28*l + p + 356 wrt p.\nAnswer: -127216*l**2*p - 2*l*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 169820*b + 849101. Give r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, y: 7, g: 5, x: 2, f: 1, q: 1}. Give prob of sequence ft.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 53988 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21166*w - 13633*w + 25430*w.\nAnswer: 32963*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 943751564 to the power of 1\/2, to the nearest integer?\nAnswer: 30721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 560062291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is 626.9722 millennia in months?\nAnswer: 7523666.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 607527 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 23*g - 48. Let l be z(25). What is the second derivative of -o + l*o - 91 - 2*o**5 + 80 - 70*o**4 - 32*o**4 wrt o?\nAnswer: -40*o**3 - 1224*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 + -0.3. Let w = -17 - -12. Let l be 7\/(70\/(-6))*-5. What is the smallest value in j, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*s + 24 - 129. Suppose 4*z = 9*z - s. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4*c. Let s(d) = 1276*d**2. Calculate m(s(r)).\nAnswer: 5104*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2. Let j(d) be the second derivative of 5*d**2 + 0 - 7*d - 1\/6*d**5 + 0*d**3 + 0*d**4. Let m(f) be the first derivative of j(f). What is m(p(v))?\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from ttpamttmtpmmdatm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6759 and 406291.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -417*n**3 + 826*n**3 - 411*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002437473 rounded to five dps?\nAnswer: -0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 - -7.6. Let c = 8 + p. What is the nearest to -3\/8 in c, -5, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -17.2, 0, 5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 454994503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 16675 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 75?  (a) -134  (b) 1  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12469 is divided by 963.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 1921.35 to the nearest 10.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.46999917 - 1.47. Round o to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39877, 79751, 119625, 159499, 199373?\nAnswer: 239247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(133) + sqrt(133)*3))\/(-3*sqrt(847) - sqrt(7) - sqrt(7)))**2.\nAnswer: 304\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*n**2 + 254*n**4 + 2*n**3 - 253*n**4 - n - 9*n**2 to the form w + k*n + b*n**2 + i*n**3 + u*n**4 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -337 = -119*n + 1448 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1*sqrt(19)*-5.\nAnswer: 1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - z - 10. Let u(n) = 955*n**2 + 2*n + 413. Let d(m) = 2*b(m) + u(m). What is the derivative of d(c) wrt c?\nAnswer: 1906*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13.4 - -13. Put u, 2, -4\/3 in decreasing order.\nAnswer: 2, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7*40435855\nAnswer: 283050985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-36)*(-220)\/550.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -66 - -71. Sort 2\/3, n, -0.4, 2.\nAnswer: -0.4, 2\/3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 132288803 and 132288805 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 6 + 7 = -5*j, 5*l - 55 = 5*j. Solve -z - l = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t - 3*h - 6 - 2, 0 = -4*h + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1693.39162 + -1693.2. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 11 = m, 5*m - 2*u - 9 = 46. Let x(k) = -k**2 + 13*k - 13. Let d be x(m). Let j = 64 - 1. What is the greatest common factor of j and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1423.07 - 1430. Let h = -0.07 + l. Let t = 19.9 + -20. Which is the closest to t?  (a) -1  (b) -5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15 + 4\/(-5) + (-10)\/50. Let f(k) = k**3 - 12*k**2 - 13*k - 39. What are the prime factors of f(r)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 2. Suppose l*h = h - 3*f + 9, -2 = 4*h - 3*f. Suppose 3*p + 0*d - 2*d - 13 = 0, 2*p = -5*d - 23. What is the remainder when h is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149 - 25 = 4*j. Let u = -104 + 207. Let f = u + -94. Calculate the smallest common multiple of j and f.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/48)\/((2\/(-10))\/((-9)\/(-15)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k - 5. Let u be q(8). Find the third derivative of 3*b - 3*b - 4*b**2 + 7*b**u + 8*b**2 wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 17*u - 3. Let k(y) = 50*y - 10. What is 7*b(p) - 2*k(p)?\nAnswer: 19*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -5*f**2 + 69*f - 25. What is w(13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 147448 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from mmzmvbvvvmvvb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x - 1. Let z be b(3). Suppose -4*p + 20 - 8 = 4*s, 3*s = z*p - 15. Suppose 8*a + 4*v = 3*a + 102, -p*a + 5*v = -76. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52 - -66. Suppose -9*r - 7855 = -d*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 13*c**2 + c + 6. Let i(w) = -13*w**2 - 5. Give 6*i(j) + 5*x(j).\nAnswer: -13*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + -2*(2 + -1). Suppose -2*j + 4*b + 2 = k, -4*b - 35 = 5*j - 12. Let a = -2.06 - -0.06. What is the nearest to j in -0.4, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.6 - -0.9. Let u = 0.4 - -0.1. Let v = u - q. What is the second smallest value in -2\/19, -4\/7, v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2))**(-8))**47\/((i**2)**(9\/4))**(-43) assuming i is positive.\nAnswer: i**(1891\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*u = 3*l, -4*u = 0. Solve -82*q + 79*q + 9 = l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10141166 + 20?\nAnswer: 10141216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -7*(6 + -1 + -4). Let h be x - -5 - -3 - -5. Solve 0 = 5*j + h + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 226026 and 690635?\nAnswer: 12431430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.3 - 3.7. Let s be 1*(0 + -1) - 2. Let w = 339\/4 - 86. Put s, i, w in increasing order.\nAnswer: i, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14594962357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**5 - 8748*l**3.\nAnswer: 3*l**3*(l - 54)*(l + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 14*l - 137. Let o be v(10). Solve -12 = -2*x + o*y, 4*x + y = -2*y - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -4) + (1 + -5 - 7). Suppose 5*s - 5 = 0, -4*s = -4*b + 128 + 100. Calculate the remainder when b is divided by 40\/(v\/(-14)*4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 5:22 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 32583558 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l**3 - 6*l**2 - 7. Let x(g) = 3*g**3 - 5*g**2 - 6. Let f(m) = -46*m - 420. Let a be f(-9). Give a*x(w) + 5*n(w).\nAnswer: 2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 228*i**2 + 29*i + 48. Is t(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4 + 156*l**3 - 2194*l**2 + 2040*l.\nAnswer: -2*l*(l - 60)*(l - 17)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -15205*h - 2118*h**3 - 15204*h + 30409*h + (-3*h**2 + 3*h**2 - 2*h**3)*(0 + 4 - 2) as a*h**3 + k*h**2 + n*h + q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 11:21 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 137227474 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 4*l**2 + 27*l + 1. Let n be q(-7). What is the third derivative of 35*f**2 + 55*f**2 - 67*f**2 - n*f**3 wrt f?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 2:02 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 5*k - 4*f, -3*k - 2*f + 44 = -6*f. Suppose k*p - 11*p = 7. Suppose 0 = p*d - 6*d - 72. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 - 1. Let c(m) = -m + 1. Let q be c(6). Let r(v) = -6*v**2 + 4*v - 1. Let g(y) = q*x(y) + r(y). Determine g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 206727 + 1?\nAnswer: 206728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13388292 - -76398.\nAnswer: 13464690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 55 = -5*r. Suppose -74 = -2*u + 5*v, r*v - 95 = -5*u + 57. Calculate the highest common factor of u and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-19352)\/(-533))\/(-118))\/((-4)\/299).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**3 - q - q**3 + 1 - q**2 + 4*q**2. Let g be u(-3). Suppose 0 = -2*a + g*a - 28. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -87*a - 15. Let h(k) = -7*k + 6 + 7 + 50*k + 9 - 14. What is 11*h(t) + 6*r(t)?\nAnswer: -49*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/(o**1\/o)))\/(o*o**(-1\/3))*o**(-8)*o*(o*o**(-1))\/o)**(-6\/5) assuming o is positive.\nAnswer: o**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220735*j + 1086 = 220916*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -6*m**3 + 3*m**3 + 8 + 12*m**2 - 9*m + 6 + 2*m**3. Let v be r(11). Suppose 3*p - 7*p = 2*f - 6, -4*f + 4*p + v = 0. Solve 5 = 3*c - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -7) + -3 + -1 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/11  (b) -1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0282345 rounded to 3 decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3 + 138*i**2 + 166*i**2 - 238*i**2 + 363*i.\nAnswer: 3*i*(i + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4\/9)*z**(-1\/6))**9 assuming z is positive.\nAnswer: z**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/259 > -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 106 = -71. Let i(r) = -22*r. Let z(k) = -15*k. Determine f*i(j) - 7*z(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58047*u = -5*i - 58043*u + 119, 4*u = 15*i - 69 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7*w**3 - 6*w**2 - 5*w + 9. What is the remainder when f(3) is divided by 53?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**4 + a**4 + a**4 + (-7 + 7 + 5*a**2)*(a - 3*a**2 - a).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w. Let u(o) = o**3 - o**2 - o + 3. Let b be u(2). Let k be c(b). Sort -1, k, 1, 3 in descending order.\nAnswer: k, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 96.47539t?\nAnswer: 96475390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2074 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8 + -5 - -498) + 8. Suppose -r - 5*g = -2*g - p, -r + 5*g = -493. Calculate the remainder when r is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 112*z**2 - 333*z**2 + 111*z**2 - 15*z + 22 + 108*z**2 + z**4 in the form h*z**2 + b*z**3 + t*z + r + k*z**4 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + -2)*(-2)\/(-3). Let h be (-5)\/1*20\/(-25). Let q be (-3)\/(o + h + -3). Solve v = -q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2816568, 46 in increasing order.\nAnswer: -2816568, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ngnagaqqqiqnqnqininv. What is prob of sequence iaig?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*w + 136*w**2 - 100*w**2 + 3*w as v*w + u + a*w**2 and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h - 5. Let a = 2093 - 2099. Calculate s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 8*q - 1 + 26 - 14*q - 18*q. What is the units digit of t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 6 - 18 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n + 1. Let u(t) = 123*t - 6. What is -6*h(o) - u(o)?\nAnswer: -129*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three thirds of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 141 + -62. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -1)\/(4 - 6). Suppose 0 = -l*w + 3*w - 6. Calculate the highest common factor of 10 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 9:17 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68089713?\nAnswer: 3, 22696571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65230 is divided by 413?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2350, 2284, 2218, 2152, 2086?\n\"Answer: -66*v + 2416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 111628 and 440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**(2\/7))\/k)**(2\/101)\/(k**8*(k*k**6)\/k))\/((k\/k**(2\/5)*k)**(-3\/2)*((k*k\/k**(-1))\/k)\/k*k*k**1) assuming k is positive.\nAnswer: k**(-51631\/3535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 3\/5  (b) 22  (c) 19  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10175611.\nAnswer: 10175611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = j + 9258. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97513?\nAnswer: 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17723 and 2775?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 262464 + -2.\nAnswer: 262462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10261702?\nAnswer: 2, 11, 466441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 d when four letters picked without replacement from {d: 4, g: 2, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 91 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -3 - (-3 + 3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2287762 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2 + 22451*v + 22450.\nAnswer: (v + 1)*(v + 22450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -0*q. Suppose 4*x + q*v + 2*v = 104, -3*v - 60 = -3*x. Calculate the smallest common multiple of x and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -18229 = -72911\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*w + 60*w**3 + 17*w - 24*w + (-10 + 10 - 8)*(2*w**3 - w**3 + w**3).\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1076 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 7 = -5. Let t = x - -38. Let r = t + -12. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3208 divided by -802\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/11 or 69\/14?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 965555081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 5)*(n**4 + 2 - 3 - 2*n**4).\nAnswer: -6*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161*r - 8 = -165*r. What is the biggest value in -5, -0.03, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g + 21. What is the remainder when 10 is divided by m(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2332*c - 9097. Give i(4).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 386 divide 16501886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -9677 divided by -709?\nAnswer: 9677\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/9)\/((1 - 3)\/(-90)). Let o be (12\/8)\/(k\/40). Suppose -4 = -3*z + 2*z. Solve -10 = 4*f + v, 0*f + o*v = z*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 451038740 divided by 33811\nAnswer: 13340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 11 = -5*u, -4*u = f + 2*f - 13. Suppose 0 = f*m - 3, -m = 3*v + 2*m - 111. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4659*o**2*p**2*u + 10*o**2*p**2 - 6*o**2*u + 507*o*p**2 - o*p*u + o*u + 53*o - 2*p**2*u - 1 wrt o?\nAnswer: -9318*p**2*u + 20*p**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1 + -1 + sqrt(343) + sqrt(343)))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -15, -485, 68.\nAnswer: -485, -15, -6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**2 - 3002575*s - 3002574 = 0.\nAnswer: -3002574, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 less than -11323412377?\nAnswer: -11323412372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -114 - -168. Let r(f) = -o + f + 30 + 24. Let m(k) = 5*k**2 + 3*k. Give r(m(x)).\nAnswer: 5*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -240 - 1046. Let z = -699 - b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 - 457 = -2*t + 5*w, 1003 = 4*t - 5*w. Let y be (-2598)\/(-21) - 4\/(-14). Let s = t - y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22551181 is divided by 560.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 10:14 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 271*a + 0*a**2 - 17*a**2 - 576*a + 284*a - 29*a**2 in the form f*a + k*a**2 + b and give k.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 13*n + 28. Let u be q(-2). Calculate the common denominator of ((-16)\/44*1)\/(7\/u) and 17\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 5:06 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 35.633 and -0.35.\nAnswer: 35.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of 143*p**4\/12 - 2*p + 7. Let f(w) = -2*w**2. Give f(h(g)).\nAnswer: -40898*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + a + 6. Let j be p(0). Let t(g) = g**2 - 4*g - 3. Let d be t(j). What is the remainder when 4 is divided by (4\/6)\/(2\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of p**4\/12 + 5*p**3\/3 - 15*p**2 + 38*p. Let d be b(-13). Calculate the greatest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fqkk when four letters picked without replacement from ffqpqfqekkppkm?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-p - 17*p - 11*p + (-5*p + 6 - 6)*(-3 + 3 - 2))*(2*p**2 + p - p + (-1 - 3*p + 1)*(3 - 3*p - 3)) to q*p**2 + v + d*p**3 + k*p and give d.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 138382 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-26) + (-93)\/13. Let c be (-2 - -2)\/(k + (9 - 4)). Put 3, -5, c in increasing order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -z**6 + 14*z**3 - 7 + 9*z**2 - 4*z**2 - 4*z**2 wrt z?\nAnswer: -120*z**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1404\/5 at least as big as -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 944160557.\nAnswer: 23, 3041, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -2\/5  (c) 1\/3  (d) -463.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7786 and 918?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 4, 18, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1848 - 1096. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14122 (base 5) to base 15\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -16*y**5 + 2836*y**4 - 130740*y**3 + 985068*y**2 - 238140*y = 0.\nAnswer: 0, 1\/4, 9, 63, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-i + 0 + 0)*(2 + 4 - 4) - 55*i + 60*i - 40*i)*(-11*i + 17*i - 11*i).\nAnswer: 185*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**3\/4 - 135*n**2\/2 - 273*n\/4 = 0. Calculate n.\nAnswer: -1, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -3 + 3 + 39*h**2 + 0*h + 3*h. What is the tens digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00595778 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-20 + 0 - (9 - 19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 6.07. Let v = -0.47 - i. Put 4, 0.3, v in ascending order.\nAnswer: v, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 858859 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2\/4*92\/(-598)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 312855975 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 4*h**2 - 4. Let o(b) = -4*b**2 + 3. Let i be 5\/45 - (-53)\/9. Give i*g(w) + 8*o(w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 76692 + -76695.4549. Let x = 3.47 + n. Round x to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2b0 (base 13) to base 5\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 7*n - 5 = -2*n, z + 5*n + 5 = 0. Calculate the remainder when 23 is divided by z\/3 + 16 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 812148, 812090, 811992, 811854?\n\"Answer: -20*w**2 + 2*w + 812166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 35*p + 31*p = -29, -26 = 25*k - p + 54 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1960 and 3430.\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 148261788.9999996 - 148261763. Let j = -25.84 + -0.16. Let s = z + j. What is s rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 148255274 to the nearest integer?\nAnswer: 12176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 13*x**2 - 30*x - 26. What is w(-9)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 405 (base 6) to base 12.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -3, 4, 28 in descending order.\nAnswer: 28, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 2.7. Let w = t + 2.384. Round w to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 5*b, 24*j - 26*j + 11 - 21 = -2*b - 0*b - 0*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-57 - -41) + (2 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 4*f**2 + 172*f - 348. Determine a(-45).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -7*f**3 - 2*f + 15. Let g = 127 + -130. Let p be m(g). Let i(d) = -6*d + 3. Let a be i(-3). Calculate the greatest common divisor of a and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xcxxxchcxxhx. What is prob of sequence xch?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 (base 16) in base 2?\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1203, 30 in increasing order.\nAnswer: -2, 30, 1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204277 is divided by 873.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + -2 + 2)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -1\/5, 4, -0.8, -4.68, 1\/21?\nAnswer: -4.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518 is divided by 310?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-1\/4)\/y*(y\/(y*(y*y**(-1\/3)*y)\/y))\/y)\/(((y**(-2\/3)*y*y)\/y)\/(y\/y**5)) assuming y is positive.\nAnswer: y**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - j**2 + 10*j + 44. Let x be n(-6). Suppose -2*c + 180 = x. What is the remainder when 37 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 AM and 6:03 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((225\/70)\/9)\/(((-690)\/(-72))\/(-23)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*m + 70 + 44, s - 2*m - 110 = 0. Let h = s - 57. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and -60971\/20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, m: 6, b: 1, q: 4, s: 1, c: 3}. Give prob of picking 1 b and 3 c.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3869 times -1?\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w**2 + 18*w + 7. Let v(i) = -6*i**2 - 35*i - 16. Calculate 9*j(f) + 4*v(f).\nAnswer: 3*f**2 + 22*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25, -304, -1047, -2482, -4837, -8340, -13219?\n\"Answer: -38*n**3 - 4*n**2 - n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i - 6*i + 5*i - 37. Let j be n(19). Solve -4*c + 16 = b, 5*c + 0*c + j = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -795 + 1067. What is the third biggest value in m, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 19*o**2 - 1. Suppose 0 = 5*c - 2*w + 7*w - 20, -4*w + 17 = 5*c. Let a be t(c). Let n(z) = -z**2 + 17*z + 20. Let j be n(a). Solve 7 = -j*r - 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 18*t - 2. What is a(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + 7*z**2 - 17*z - 33. Determine k(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -114 + 116. Let h(z) = z**2 + 3*z + 4. Let p(c) = c + 1. Suppose -5*k + 1 = -4. Let n(s) = k*h(s) - 2*p(s). Calculate n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 56017227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(8\/(-46996)*-2). Let j(q) = 730*q + 3. Let o be j(-4). Let f = o + l. Calculate the common denominator of -63\/22 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzyud. Give prob of sequence yz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17844 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-19))\/c**(-5\/2) assuming c is positive.\nAnswer: c**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 120 - (-132 - (78 + -404))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2 - 5095*w - 2109800.\nAnswer: (w - 5480)*(w + 385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1223 - 1222.5. What is the closest to 1 in z, 3, -2, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47413781 is divided by 1326.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 87644*h - 87573. Determine q(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -247*f + 245*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -378 - -558. Let z = -179.99999869 + w. What is z rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12877 is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*k = -381*k + 9225 - 47380 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - 10*w + 4. Let u be j(9). Suppose 6*l - 2*l = -8. Let a be l\/(u\/(-165)*-2). What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12566346 divided by -36.\nAnswer: -2094391\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/((-18)\/8 - -2). Suppose 0 = 15*h - 12*h - 6. Suppose 0 = -h*l - 4*y + 20 + 4, -4*y - 36 = -l. Solve -3*u + s = l, -u - u = -2*s + x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + 0. Let c = 48 + -12. Let t = c - b. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 11:41 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, s: 1, p: 1, d: 1, a: 1}. What is prob of picking 1 g, 1 d, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 518111*s**2 + 42*s - 1 + 518114*s**2 - 1036205*s**2.\nAnswer: 20*s**2 + 42*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 5:05 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6464165 to the power of 1\/2, to the nearest integer?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from blluhuuaplhbb. Give prob of sequence buh.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(16)\/(sqrt(8) + (sqrt(72) - sqrt(8) - sqrt(8))*6) - (sqrt(36)*5)\/sqrt(2))*2*4.\nAnswer: -832*sqrt(2)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1740\/72*-2*(-1566)\/870?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, j: 3, i: 3, m: 1, x: 1, v: 5}. Give prob of picking 1 j and 1 k.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + 3*i - 2. Let y be m(1). Suppose 0*o = y*o. Solve o = 3*w - 3 + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**3 + 130*x**2 + 137*x**2 - 253*x**2.\nAnswer: 2*x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.046431 + 2.\nAnswer: 2.046431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 0 - 0) + -1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q + 2. Let v = -10 + 5. Let o(j) = j + 9. Let z(i) = 5. Let x(g) = -3*o(g) + 5*z(g). Calculate v*y(w) - 4*x(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of 0 + 0*v + 0*v**6 + 0*v**4 + 1\/210*v**7 + 0*v**5 + 5\/6*v**3 - 5*v**2. Differentiate c(n) wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x + 1. Let z = 11290 - 11286. Let u(f) = 7*f + 2. Suppose -5*a = -5*j - 7 + 27, -2*j + 2 = 4*a. Calculate a*u(y) + z*k(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 252 + -239. Solve y*s - 8*s - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-663)\/(-68))\/(-13))\/((-15)\/760).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -12*i + 1. Calculate the remainder when 36 is divided by l(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 + (-13 - -10) + -3 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 174\/(-4)*(-18 + 0). Let w(r) = r**3 - 5*r**2 - 145*r + 77. Let v be w(-10). What is the greatest common factor of b and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -27.2.\nAnswer: 8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 25*t + 183. Let b be v(-30). Suppose n + b*n = 2142. What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4056*m**4 - 5*m**3 + 4*m - 17752919 wrt m.\nAnswer: -16224*m**3 - 15*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 82615, 82607, 82601, 82597, 82595, 82595, 82597?\n\"Answer: u**2 - 11*u + 82625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -327239572 + 327239804.000117. Let i = 232 - x. Round i to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of 1\/6*g**4 - 2*g**2 + 5\/6*g**3 + 0 - 2*g. Let j(a) be the first derivative of w(a). Find the first derivative of j(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12836 + 12835. Let a be (-2)\/(-5)*(-2)\/4. Sort 1\/6, j, a.\nAnswer: j, a, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 35*y**2 + 3675*y + 6. Determine q(-105).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/((-45)\/(-50)))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 88*k**3 + 4 + 0*k - 5*k - 86*k**3 + 2*k + 2*k. Let t(b) = -4*b**3 + 2*b - 9. Give 2*t(c) + 5*u(c).\nAnswer: 2*c**3 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence toth when four letters picked without replacement from oohtomomth.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -399633*y - 398920*y**2 - 18146*y**3 - 328*y**4 - 2*y**5 - 314928 - 247719*y + 48676*y**2.\nAnswer: -2*(y + 1)**2*(y + 54)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -102102 - -41555469\/407. What is the common denominator of n and -83\/666?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 2*l - 288 - 1364, 0 = 5*l - 20. Let f be 2\/(-9) + m\/45. Suppose s - f = -2*s. Solve 6*x = s*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 5*c - 36. Let s be g(8). Suppose -2*r + s = -10. Suppose 70 = r*d - 0*d. Solve 5*j - 10 = d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40756*a - 40723*a - 462 = 0. Put a, -2\/13, -2\/3, -3 in ascending order.\nAnswer: -3, -2\/3, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.8?  (a) 2\/7  (b) 3  (c) -5  (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 18. Let o = s - 13. Let q = -2 - o. Calculate the highest common divisor of q and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 6*y**2. Let w be z(1). Let s be (26\/w)\/(2\/216). Suppose -s = 3*u + u. Round u to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 AM and 10:55 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -1 - -9 - -3) + 0 + -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/10165 and -29\/874.\nAnswer: 467590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -17670.\nAnswer: 17670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 5*a = -4*g + 22, 3*g = 5*a - 26. Let l be (-2 + 1 - -1) + g. Let p be 0\/(-1) - l*(1 - 0). Solve y - p = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*q - 6638 - 36*q + 6638 - 9*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14829 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -42.2, -2073, -37?\nAnswer: -2073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -25460, -50918, -76376, -101834, -127292?\n\"Answer: -25458*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + (76 + (-2 - 3) - (-2 + 6 + -10)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -9*v**2 + 110*v + 37. Determine w(11).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -55*o + 43*o + 33*o. Let g(r) be the first derivative of -r + 0*r - 6 + r**2 + r. Give p(g(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*r - 2067 = -3051 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 45438190 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 6 - 2 + 7*j - 3*j**2 + 0 + 2*j**2. What is the tens digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - (3631\/610 - 3)) + 0. Let y = 12962\/6405 - x. What is the common denominator of 31 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17.73 - 0.27. Let s = v + 21. Are -1 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/7*-17 + 1\/(-1). What is the second biggest value in c, 2, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t - 2. Let d(n) = -2*n + 2. Suppose 4*y = 1 + 19. What is y*o(h) + 4*d(h)?\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 - 6*j**2 + 1. Let t be h(-6). Let k = -3 - -11\/3. Is k > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 240 or 241?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -22, 0, 31, -5, -1\/5, 2\/11, 2\/77?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 10*u**2 - 2. Let w be g(10). Let i = -143 + 156. Is 390 + ((-55)\/(-65) - w\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {j: 1, f: 1, h: 1, b: 4, y: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 176972 divided by 266?\nAnswer: 88486\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3736 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of 281*u**5\/30 - 245*u**4\/12 - u**2 + 50*u. What is the second derivative of q(g) wrt g?\nAnswer: 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/19292570 and 113\/12700.\nAnswer: 192925700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 2251001928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.118 - -0.118. Put -2\/5, c, 13, 0.4 in decreasing order.\nAnswer: 13, 0.4, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -777, -1555, -2363, -3213, -4117, -5087, -6135, -7273?\nAnswer: -8513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j - 4*j - 4*j**2)*(-14 + 1101*j**2 + 16 - 2 - 230*j**2).\nAnswer: -3484*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-148)\/52 + 3 + 1763\/(-559). Let i = 10 - 4. Put -4, i, -2, p in increasing order.\nAnswer: -4, p, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2106 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000569745804 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 71403385 to the power of 1\/2, to the nearest integer?\nAnswer: 8450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -g**3\/3 + g**2 - 6. Suppose x(c) = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -129*j**2 - 108*j + 88. Let i(a) = -43*a**2 - 38*a + 32. Give -8*i(f) + 3*o(f).\nAnswer: -43*f**2 - 20*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5274910?\nAnswer: 2, 5, 67, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 4*g + 5*g + 7 - 4*g**2 - 1 as q + l*g + v*g**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 126648549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10009649 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 520300914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 50044, 400463, 1351638, 3203959, 6257816, 10813599?\n\"Answer: 50065*v**3 - 12*v**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 31440 - 5?\nAnswer: 31437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 (base 15) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b - 9. Let i be r(-1). What is the tens digit of (-2)\/(-2)*(525 - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300*q - 290*q - 190 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -30343 (base 8) to base 10\nAnswer: -12515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2572 - -2587. Solve 5*x + 4*l = -n, -l - 9 = -4*x - 0*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -26*v. Let w(z) = 189*z**2 - 1004*z + 2. Determine o(w(n)).\nAnswer: -4914*n**2 + 26104*n - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3340 - -4756. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2483a42a + -1?\nAnswer: 2483a429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 + 564*b**2 + 1116*b + 556.\nAnswer: 4*(b + 1)**2*(b + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of 53*o**5\/5 + o**4\/4 + 522*o**2 - 1050. What is the second derivative of r(s) wrt s?\nAnswer: 636*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z + 6. Let f(w) = -8*w - 11. Let y be f(-3). Calculate the remainder when v(y) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 3*f**4 + 2752245*f**3 + 631294129029*f**2 + 25878543053067*f + 25247251676280 = 0.\nAnswer: -458687, -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10\/(-3))\/((-9)\/27). Let v(p) = 0*p + j*p**3 + 4 + 3*p - 4*p - 9*p**3 + 4*p**2. Calculate v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-963)\/(-107))\/(3\/(-2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1993, -4 in increasing order.\nAnswer: -4, -1, 1993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f - f + 8*f)*(-423*f**2 + 171*f**2 - 455*f**2).\nAnswer: -3535*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 1.17\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12453\/5 + 2502. Let c = -59\/5 + s. Let m = 11.52 - 11.48. What is the third smallest value in m, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 167  (b) -1\/5  (c) 0.22  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.05 + 0.21. Let i = 1.04 + z. Let y = i + -0.2. Which is the second smallest value?  (a) y  (b) 4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4939937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20834*j**3*q**2 - 13*j**3 - 7*j**2 + 2*j + 3*q**2 + 5*q wrt q?\nAnswer: 41668*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7\/3 + -1)*2793\/(-38). Let v = -88 - o. Suppose -11*g = -v*g - 50. What is the highest common divisor of g and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10095 is divided by 862.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.032 times 115?\nAnswer: -1843.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -14235101 divided by -193\nAnswer: 73757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -12200*s**2 - 4*s - 30. Let a(h) = 36603*h**2 + 12*h + 58. Let v(q) = 3*a(q) + 8*t(q). What is the second derivative of v(y) wrt y?\nAnswer: 24418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (16 - 10) + -1 - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of 3*j**4\/4 - j**2\/2 + 8*j. Differentiate i(t) with respect to t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58 and 1334?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**5 + 17*d**4 - 87*d**3 + 131*d**2 + 56*d - 180 = 0. What is d?\nAnswer: -1, 2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -9625171.26 rounded to the nearest 100?\nAnswer: -9625200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 4*b - 4, -3*k + 24 = -0*b + 4*b. Solve 0 = 3*q + 2*p + k, -q = -3*q - 4*p - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -20976, 75, 11 in decreasing order.\nAnswer: 75, 11, -20976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 76*q. Let k(l) be the second derivative of l**4\/4 + 2*l**2 + 666*l - 4. Calculate z(k(w)).\nAnswer: 228*w**2 + 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**4\/2 + 8799*y**3\/2 + 26379*y**2\/2 + 26373*y\/2 + 4395.\nAnswer: 3*(y + 1)**3*(y + 2930)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 639 and 135.\nAnswer: 9585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2001222202 (base 3) in base 16?\nAnswer: 9f71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29840 is divided by 68.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, s: 4, o: 2, r: 3, m: 3, z: 1}. Give prob of picking 1 s and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 178470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2611324387 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 183 + 30. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-1 - -1) - -3 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 + 16*v**2 + 256*v - 1545. What is o(24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of a**7\/1680 - a**5\/30 - 2*a**2. Let t(h) be the third derivative of r(h). Let s be (-2)\/(3 + -1) + -1. Give t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5651*d - 7071*d + 55*d.\nAnswer: -12667*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 1:54 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - 12 - (1 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of c**6\/60 - 29*c**5\/30 - c**4\/3 + 116*c**3\/3 + 3*c**2 + 15. Let h(v) = 0. What is v?\nAnswer: -2, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25646 by -1.\nAnswer: 25646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -113*g + 115*g - 3*b, -3*b + 11 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((7 - -4) + -3 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 591 and 21?\nAnswer: 4137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -814*h**3 - 296*h**2 + 148*h**2 - 1481*h**3 + 148*h**2 - h**3 + 3*h**3 - 3*h**3 + (h - 2*h + 2*h)*(-3*h**2 + 5*h**2 - h**2) + 2*h - 2*h - 2*h**3.\nAnswer: -2297*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-446)\/15 + (-40)\/150)*(-5)\/(-15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14.5 - 2.4. Let j = i - 12. Let w = -79\/189 - 2\/189. What is the third biggest value in w, j, 2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 69 - 75.2. Let z = -4 + -2. Let v = d - z. Sort -2, -4, v.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 191*w - 194*w + 6 = 0. Which is smaller: -6\/47 or w?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.49 - -2.39. Let w = -116\/31 + 718\/341. Which is the closest to 0.1?  (a) w  (b) 3  (c) 5  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -65.13  (b) 2\/11  (c) -159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 7:19 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 407202 by -67867.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 16*q + 15*q + 0*q - 24 + 2*q. What are the prime factors of c(9)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkllk. What is prob of picking 2 l and 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*n + 13, -5*f + 2*n = -22. Suppose 0 = -4*q - b + 13, 3*q - 24 = -2*b + f*b. Solve 0*p - 2*p - 24 = -q*z, 3*z = -p + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**2 - 4*p**2 - p**2 + (-2*p + 0*p + 3*p)*(2*p + 0*p - 3*p))*(0 + 1 - 30*p + 41*p).\nAnswer: -33*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 AM and 9:53 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 2\/2213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 3*b**2 + 9*b - 7. Let l be x(6). Let i = -36 - l. What is the greatest common factor of 50 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -6006 and -6007 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -31 in descending order.\nAnswer: 3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 267 - 186. Suppose 2*b - 4 = -0*b. Suppose -w = -p + b*k, -5*p = -3*p + 4*k - 146. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21129 or 22.58?\nAnswer: 22.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1883*f = -1880*f + 66 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m**2 - 158*m - 816. What is the smallest common multiple of 21 and k(-29)?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 151, 1, 6, 3, 0 in decreasing order.\nAnswer: 151, 6, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 775\/7 + -19683\/175. Find the common denominator of -44\/9 and h.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 3*j - 5*j)*(j**2 + 3*j**2 - 5*j**2) + 0*j**3 + 2*j**3 + j**3 + (2 - 2 - 2*j)*(-4 - 2*j**2 + 4) + j**3 - j**3 - 2*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 22179, 88759, 199725, 355077, 554815?\n\"Answer: 22193*a**2 + a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 0 - (87 - 85)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 + -124. Let b(z) = 5*z**2 + 2*z + 16. Let w be b(-5). Let m = w + s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**2)**(-27)\/(x**(1\/4)*x*x*x*(((((x*x*x**4)\/x)\/x)\/x)\/x)\/x))**(-50) assuming x is positive.\nAnswer: x**(5825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4)**42*(c**(1\/4))**(2\/13) assuming c is positive.\nAnswer: c**(4369\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 153971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1857373 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o = o - 70. What is the third derivative of 4*f**2 - 4*f**2 - 3*f**2 + 28*f**3 - o*f**2 wrt f?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 2. Suppose -8 + s = h. Let b(r) = r. Let v(u) = -6*u + 2. What is h*b(i) - v(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1316*w + 1305019 = 1473467 for w.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - l. Let z = 2 + l. Suppose 3*s - z*y = -4*y + 1, -14 = 3*s - y. Sort s, -8, -2 in decreasing order.\nAnswer: -2, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4254.023306 to one decimal place.\nAnswer: -4254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**3 - 6*d**2 + d - 8. Let t(n) = -3*n**3 - 9*n**2 + 2*n - 12. Let z(m) = -7*h(m) + 5*t(m). Let s = -11 - -8. Calculate z(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p + 3*p + 0*p)*(4 + 1 - 3) + 14*p - 50*p - 11*p + (-1 + 3 - 3)*(p - 5 + 5) + 0 + 0 - 2*p.\nAnswer: -52*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(208) - (sqrt(13) + sqrt(156)\/(sqrt(48)\/sqrt(4)))) + (-3 + sqrt(832) + -3)*-4)**2.\nAnswer: -2016*sqrt(13) + 23508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 10 + 804\/(-72) + (-122)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-10)\/(-6))\/(2695\/(-1386)))\/((-16)\/(-280)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-15)\/6)\/(4\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (5 - 3) - (10 - (10 + -5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -5*f - 1\/6*f**3 + 0 + 5\/2*f**2. Let l be 2\/(-3) + 4\/6. Determine o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7.542502 decades?\nAnswer: 0.7542502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 523*b. Let r(v) = v**2. Calculate p(r(w)).\nAnswer: 523*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**2 - 2*t. Calculate the remainder when m(-2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (1 + sqrt(405) - sqrt(405))*-4 + (-3 + sqrt(405) + 0 - (-5 + sqrt(405) + 1)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 5103311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 742442 and 474?\nAnswer: 2227326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/9, -5\/3, -16?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 3*c - 142*a + 140*a, -2*c + 1 = a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 39\/412?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**(9\/2))**(-13)*o\/o**37*o*o**(3\/2) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 172783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + j + 4*j = 0, 16 = 5*a + 3*j. Let h(z) = -3*z + 4 + a - 4*z - 1. Let b(v) = 8*v - 9. Calculate 6*b(w) + 7*h(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {n: 2, y: 2, o: 1, t: 1, e: 1, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 - 118 = 5*r. Suppose p - 3*f - 38 = r, -4*p = 2*f - 86. Suppose 0*h + 8*h = p. Solve h*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -15, -3*h + 3*y = -2252 - 145. Calculate the smallest common multiple of 4 and h.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.24, 0.27, -4\/3, -4, 1?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -539 in -1, -1\/2, -0.03, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 PM and 5:26 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -25*i**2 + 8*i - 7. Let k be r(-4). Let s = k + 663. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1772 + -1780. What is the biggest value in 6, -1, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -13*h - 1. Let b(q) = -5*q**2 - 3*q + 4. Let l be b(h). What is the nearest to 2\/9 in l, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of q**8\/504 - 94*q**7\/315 - 19*q**6\/36 - q**2 - 386. Factor u(x).\nAnswer: 2*x**3*(x - 95)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 943680299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -r - 4*w, -r - r - 5*w = -30. Let o be ((-6)\/r*1)\/((-2)\/70). What is the greatest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 2*x - 69*x**2 - 2*x**3 + 12*x**3 - 86*x**2 + 156*x**2 + 5*x**4 to y*x + z*x**4 + n + j*x**3 + p*x**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -73991\/277 greater than or equal to -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/572)\/((-43)\/((-264407)\/(-13)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 140.4167 hours in milliseconds?\nAnswer: 505500120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 347420399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72345 is divided by 506.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15457*k**2*x**2 + 1246*k*x**2 - 4*k*x - k wrt k.\nAnswer: 30914*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1101268 or -1101272?\nAnswer: -1101268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1773346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 - 3)*(-72 + 368 + 359)*(t + 0 + 0)*(0*t**2 + 4*t**2 - 3*t**2) to a*t**2 + k*t**3 + m*t + l and give k.\nAnswer: -2620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 3)\/(3 + (2 - 4)). Let i(y) be the third derivative of y**6\/120 - y**5\/12 + 5*y**4\/24 - y**3 + y**2. Determine i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2200757157 to the power of 1\/3, to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 1110 and -17.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 2*k = l - 370, l - 2*k - 86 = 0. Let i = l - 71. Suppose -4*f = -i*t - 344, 4*f - 4*t - 344 = -0*f. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of z**3 - 270*z**2 + 24300*z + 10. Factor l(p).\nAnswer: 3*(p - 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-9)\/30)\/3*(-6 + 21 + -19). Let h = 0.69 + -0.9. Let u = 3.01 + h. Put -2\/5, y, 2, u in decreasing order.\nAnswer: u, 2, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5031\/989 - (-2)\/(-23). Suppose 0*f - 36 = -2*i - 4*f, q*i + 4*f - 120 = 0. Let r be (-2*15)\/(0 + -1). Which is greater: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -353674 less than -0.5?\nAnswer: 353673.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -5*o - 103 - 357, 3*f - 184 = 2*o. Let g = -66 - o. What is the highest common factor of g and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -170 - -72. Let j = 142 + r. Let z = -11 + j. What is the least common multiple of z and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*y - 33 - 30. Find the third derivative of -54*o - 11499 + 11499 - 130*o**y + 2*o**2 wrt o.\nAnswer: -780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -635, -1685, -3143, -5009, -7283, -9965?\nAnswer: -13055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - -1a87a12?\nAnswer: 1a87a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*n**2 - 2*n - 11*n**2 - 1 + 19*n**2 + 6*n**2 to l*n + t + f*n**2 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 287, 552, 805, 1040, 1251, 1432?\n\"Answer: -w**3 + 272*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -k**3\/3 + k + 2. Let r(j) = 331*j - 11583. Let m be r(35). Let y(i) = 5*i**2 - 2*i - 3. What is m*l(s) + y(s)?\nAnswer: 3*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c - 5. Suppose 0 = -2*a - 4, 2*a - a = s + 4. What is the units digit of k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b + 6. Let l be n(7). Put l, 1, -6 in ascending order.\nAnswer: -6, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -3*m**4\/5 + 507*m**3\/5 - 10434*m**2\/5 + 52128*m\/5 + 63072\/5 = 0.\nAnswer: -1, 12, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 12*v**2 + 12*v - 4. Let q be r(-11). Let d = 19 + q. Solve -6 = -d*z - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.39 + -0.01. Let l be (-52 - 14)\/198*((-9)\/(-5))\/3. Sort -46, l, g in descending order.\nAnswer: l, g, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -405647 + 405652. Factor 3*u**2 - 3*u**4 + 4*u**3 + 1\/2*u**n - 9\/2*u + 0.\nAnswer: u*(u - 3)**2*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -211, -217, -223?\n\"Answer: -6*o - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1272, -235, 802?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 + 9*v - 25. What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -0*g + 1. Let k be ((-93)\/6)\/(g*2\/4). Find the first derivative of -20*s - k - 13*s + 14*s wrt s.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*r**4 - 8\/11*r**3 - 14\/11 - 40\/11*r - 36\/11*r**2.\nAnswer: 2*(r - 7)*(r + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 29565 = -2*l + 2182711, -3*l + 3229695 = -3*p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112)*1 + -4 + -2 + sqrt(112) + 1.\nAnswer: -5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*w**3 - 95*w**2 + 990*w + 855 = 0.\nAnswer: -3, -19\/22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 2*n**2 + 4*n + 1. Let p(i) = -134*i + 1613. Let l be p(12). Give h(l).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h**2 + 0*h - 30*h**3 + h - h**2. Let u be d(-1). Suppose -96 = -3*b - u. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 21, -11226, -5, -3, 33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -303, -314, -337, -378, -443, -538?\n\"Answer: -d**3 - 4*d - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 298 - 141. Let o = v + -155. Is -55 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 3)*(u**2 - 2*u**2 + 3*u**2) - 2*u + 2*u - u**2 + (2 - 2 - 2)*(2*u**2 - u**2 + 0*u**2) + u**2 - 7*u**2 - 4*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 5, 0.7, 3, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -z**4\/12 - 7*z**3\/6 + 6*z**2. Suppose -8*k = -3*k + 5*q + 25, k - 2*q + 8 = 0. Determine o(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 * 0.12984236\nAnswer: 0.0025968472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47396088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 11:13 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3760.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/3 - 2)*0. Let f(r) = h*r + r - 2*r. Let i(j) = 3*j**2. Determine f(i(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*i**3 - 2*i - 2*i**2 + 30\/7.\nAnswer: -2*(i - 1)*(i + 3)*(i + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -3. Let g(n) be the second derivative of -2*n - 1\/2*n**2 + 1\/3*n**3 + 0. Calculate g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2862, 2869, 2876, 2883?\n\"Answer: 7*x + 2855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168390*n - 2 + 84151*n + 84203*n.\nAnswer: -36*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 160359.7 and 5.4777501.\nAnswer: 160365.1777501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -62.15 - -62.1. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/35, 0.07, -63, 2\/5 in increasing order.\nAnswer: -63, -2\/35, 0.07, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1262 (base 12) in base 15?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(3388)*2)\/(sqrt(36)\/(sqrt(900)*3)).\nAnswer: 1980*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-3)*3 + 2. Let c(y) = y + 5. Let p(s) = -3. Let n(j) = -4*c(j) - 7*p(j). Determine n(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/21)\/(((-2813)\/54999)\/29).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12638397605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3030793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47 + 60. Let w = -331 + 365. What is the remainder when w is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 515 = 3*y - 270 - 168, 0 = -3*y + 2*l - 85 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8540\/400 - 20) + (-2)\/(-8)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*h + 7. Let z be 4149\/(-10410) + h\/10. Let x = 3989\/1041 + z. Calculate the common denominator of -17\/11 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233 is divided by 165?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.5 and -1.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52 - (13 + -26)) + 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1283778.67 and 0.4.\nAnswer: 1283779.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -171*r + 1625. Let p be y(5). What is the greatest common divisor of 44 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60484655 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**2 - 7*q - 6. Suppose -2*y = -m, -3*y - 2*y - 6 = -m. Determine r(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*i - 239 = 241. Let o be i\/8 - (-48)\/32. Solve -7 = o*x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 6:35 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5376 and 4272?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*k**2 - 93*k**2 - 55*k**2 + 5*k.\nAnswer: -156*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 118*((-1)\/7)\/(4\/(-14)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7402 + 14511. Let n = 15768 - h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3098625?\nAnswer: 3, 5, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 2*r - 32 + 22, 5*r + b - 13 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 2*u - 2. Let z(c) = -1840*c**4 - 8*c**2 + 12*c - 686. Let p(a) = 6*f(a) + z(a). Find the third derivative of p(k) wrt k.\nAnswer: -44160*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*b = -75*b - 81*b + 6300 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(130) - -1*sqrt(130)) + sqrt(130) + (sqrt(130) - sqrt(130)*-2*-5))\/((sqrt(10) + sqrt(70)\/sqrt(7))*-6 + (sqrt(10) - (sqrt(10) - sqrt(810)*-1))).\nAnswer: 2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 5*h + 3. Let b = 0 + -3. Let c be w(b). Let t = -12.3 + 12. What is the nearest to t in c, 1\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from totitotootytoototgoy. Give prob of picking 1 o and 1 g.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t*t\/((t\/(t*t*t\/t**(-3\/4))*t)\/t)*t)*t*t))\/t)\/(t*(t**(1\/14)\/t)\/t) assuming t is positive.\nAnswer: t**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 (base 13) in base 4?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 797771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.3625952 milliseconds to days.\nAnswer: 0.000000050493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9279122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-7)\/s**7)**23\/((s**(2\/7)*s**(-3\/8))\/((s\/(s*s*s**(-4)*s))\/s**(-1))) assuming s is positive.\nAnswer: s**(-17859\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*z - 2068 - 1489 - 3124 = 0. Calculate the remainder when 1711 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -684*z + 1 + z**3 + 16 + 684*z.\nAnswer: z**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 13 + 7 + -25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4 - 2931*t**3 - 291140*t**2 - 7789548*t - 32036240.\nAnswer: (t - 3028)*(t + 5)*(t + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 640974 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**5 - 12*v**4 - 36*v**3 - 20*v**2.\nAnswer: 4*v**2*(v - 5)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -5. Let w(n) = -n**2 + 2*n + 2. Let q(u) = -2*u**2 + 5*u + 5. Let g(j) = v*w(j) - 2*q(j). Let k(d) = 5*d. Determine k(g(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 174.0973cm to meters.\nAnswer: 1.740973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 37, 89, 153, 235, 341?\n\"Answer: l**3 + 45*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-6) + (3\/6)\/1. Suppose x*p - 4*r = -0*r + 4, 22 = -p - 4*r. Let q be (-2 - -3)*-1*p. Solve 3*h + q = -v, 1 = -3*v - 5*h - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(32) + -5 - sqrt(2))*5 + -1) - (((sqrt(242) + -2 + sqrt(242) + sqrt(242))**2 - sqrt(242)) + 3 + sqrt(242) + -1 + -3*sqrt(242)).\nAnswer: -2340 + 255*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**(-1\/2)*h)**(-33)\/(h*h\/(h\/((h*h**(-1\/25)*h)\/h)*h))**(24\/13) assuming h is positive.\nAnswer: h**(-76227\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w - 11 + w + 3*w.\nAnswer: 9*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of v**5\/20 + v**4\/2 - 3*v**2. Let n(g) = -3*g**2 - 2466 + 2466. Calculate n(q(j)).\nAnswer: -27*j**4 - 216*j**3 - 432*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 629, 756, 857, 926, 957, 944, 881, 762?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (5 + (-11 - -4))\/(64\/29) and 119\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 4*i + 36. Suppose 0 = -2*u - 18*o + 23*o - 8, 0 = -3*u - 2*o + 26. Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 4 = 4*b. Suppose -30 = b*p - 108. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, -3\/4, 0.5, 5\/6, 0.2 in descending order.\nAnswer: 5\/6, 0.5, 0.2, -0.06, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x - 5*x**2 - 2*x**2 - 3*x - 3*x**2. Let h(r) = 9*r**2 + 4*r. Let j(g) = -4*c(g) - 5*h(g). Calculate j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1868?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-3)*1 - -31. Let y = -12 + i. Suppose -6 + y = 5*o. Is o at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6\/5 - 241\/5*w + 122\/5*w**2.\nAnswer: (w - 2)*(122*w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003722 rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-372)\/(-8))\/((-9)\/(-18)) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3377 - q**3 - 3377 + 5*q as f*q + x + l*q**2 + d*q**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*b**5 + 106984*b**4 - 1461326*b**3 + 5915556*b**2 - 5558760*b - 2565648 = 0. Calculate b.\nAnswer: -1\/3, 2, 6, 17817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1824 - -1820.451. Round q to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18275?\nAnswer: 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 1. Let g(k) = -k - 3. Let r(q) = g(q) + 3*v(q). Let c(p) = 7*p**2. Give c(r(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 409 and 417 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 11. Let y(z) = 3*z**3 - 3*z**2 + 5*z - 2. Let s be y(3). Let o = -45 + s. Solve 0 = -2*h - 0*g - 4*g + o, a*g = 3*h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 182929430?\nAnswer: 2, 5, 67, 273029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccq when three letters picked without replacement from {q: 10, c: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174018 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -733067826701315\/1668 + 439489117649. Let l = -12912 + t. Let x = 12523\/21684 - l. What is the common denominator of x and -87\/14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 59473\/70 - 4247\/5. What is the common denominator of a and 1\/72*(-8)\/6?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 4*z = 9*z + 265, 267 = 2*w - 3*z. Suppose 0*t + w = 3*t. Let g be (21\/t)\/(2\/(-6)). Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 1 - (-31 + 28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.1 - 1. Let g = b - 0.1. What is the second biggest value in -0.1, -2\/5, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-110)\/(-231)*(1 + 1696\/80 + -11)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 1 = -2. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (53 - 54) + -1 + 0 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21091 and 168728.\nAnswer: 168728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 407527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.7 - -22.3. Let t = -966.2 - -966. Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 1:39 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1569 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -7*p**2 + 15*p - 14. Let r be k(6). Find the common denominator of 74*(-34)\/3416 + r\/(-616) and (-10)\/4*(-109)\/35.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288456837 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + u + 310 = 0, 5*u = 3*z - 2*z - 86. Let m = 29 - z. Is (-4)\/(-2*(-4)\/m) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13 and 9318360?\nAnswer: 121138680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 443493409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 3989 = -78*j. Calculate the highest common divisor of j and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46934465 to the power of 1\/2, to the nearest integer?\nAnswer: 6851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 - 16137*l**2 + l**3 + 8066*l**2 + 10*l**4 + 8069*l**2 in the form c + f*l**3 + t*l + z*l**4 + g*l**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3064939530.\nAnswer: 2, 3, 5, 29, 163, 21613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*m - 17866 = -3542 - 161044. What is the remainder when m is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + -2. Let a be 2\/(-8) - (-28)\/(-16). Let s be (a\/(-38))\/(4\/8). What is the second biggest value in h, -3, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 13*i - 18. Suppose 16 = 5*a + 1. Suppose -28 = -3*f - a*p + 2, -3*f = -p - 14. Let t be u(f). Calculate the highest common divisor of 90 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -153 + 315. What is the third derivative of 371*b**3 + 9*b**2 - t*b**2 - 243*b**3 wrt b?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335313 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -0.8. Let u = -6 - -7. Let o = -0.4 + 0.4. What is the closest to -1 in u, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 + 6*o + 1. Suppose 2*h + 5*a = 266, 8*a - 3*a + 399 = 3*h. Suppose -12*p = 49 - h. What is the least common multiple of j(-4) and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 128041 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 24. Let i be 0 - (-6)\/14 - (-45972)\/630. Let s = 73 - i. Put s, h, -2 in increasing order.\nAnswer: h, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 54 = 5*y + 6*y - 13*y, 3*y - 5*d = 31 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5119, -10554, -16311, -22384, -28767, -35454, -42439, -49716?\nAnswer: -57279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*g - 180 = 43*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 7*r - 14 = 0. Suppose -x - 8 = -r. Calculate the smallest common multiple of 10 and 2*2 - (2 + 4 - x).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17.597 - -17.8. Round q to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3 = a, -25 = 2*x - 23. Sort a, -0.03, 2.\nAnswer: a, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -11*c - 3. Let f(x) = -2*x + 2. Let u(k) = k + 1. Let h(z) = f(z) - 3*u(z). Let y(j) = 2*d(j) - 5*h(j). Suppose 16*q - 108 = 43*q. Calculate y(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71 + -68. Suppose 5*t + 10 = 4*a - j*a, 0 = 4*a - 3*t - 23. Solve 0 = 4*n + n + a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i. Suppose 5*w - b + 3 = 6*w, -4*b = -2*w. Let p(m) = 34*m - 36*m - 11*m**2 + 8*m**w. Give p(v(y)).\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2200020255 - -2?\nAnswer: 2200020301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.052 - 0.4\nAnswer: -0.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*f + 167018 - 13348 = 2200*f - 91100 for f.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zmmzzbbbbo. What is prob of sequence mz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - o)*(1 - 1 - o) - 2*o**2 - o**2 + 4*o**2 + o**2 + 0*o**2 + o**2 + 3 - 4 - 39*o**2 + 10*o**2 as a*o + y + l*o**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3303 + 1682 + 1686)*(2*g - 3*g + 9*g) + (-1 - 2*g + 1)*(3 - 2 + 0) to the form i + t*g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -27. Let o be 2*9\/a*2. Let v be 4\/18 + (-25)\/(-9). Solve 2*g - v = -3*q - 19, 4*q + 22 = -o*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(612) + (1 + sqrt(612))*-3) + 0 + 3 + sqrt(612)*-1)**2.\nAnswer: 504*sqrt(17) + 30024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/701817?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*l + 23 + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000010090571 rounded to 7 dps?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 17*q - 20*q + 27, q - f - 23 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 179.8668 millilitres to litres.\nAnswer: 0.1798668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, -19, 1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1699165 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -1\/2  (b) -0.02  (c) -1.7  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 4. Suppose 5*w - x = 3*w. Solve 0 = l - 3*l - w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mihhhziimmimimihh. Give prob of sequence hh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*b - 30 = 4*b. Factor -2*q - 4*q**b + 241*q**2 - q**4 + 3*q - 124*q**2 - 3*q - 122*q**2.\nAnswer: -q*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 840913.8 millimeters?\nAnswer: 84091.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*n = -3*f + 24, -5*n = -f - 16. Let k(m) be the first derivative of -m**2\/2 + 9*m + 5. Give k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7493155 is divided by 279?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1936 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -10 + 8 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1343*m + 31116 + 22604 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.9822551 and -1.\nAnswer: -3.9822551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04529686603 rounded to four dps?\nAnswer: 0.0453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -3. Let g = -38.6 + 38. Which is the third smallest value?  (a) 0.1  (b) g  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5\/(-20)*307 - -3)*-28. Let t = -1321 + r. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (7 + -5) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -170 + 332. Let d be 3\/9*3 + -1. Suppose -m + 5*z = -d*m - 12, m + 4*z = 39. Calculate the greatest common divisor of n and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.25  (b) -0.8  (c) -1  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -13. Suppose 5*j = -4*l + 61, u*j + 2*l - 49 = -l. Suppose 3*h - 118 = -7. Calculate the remainder when h is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1342321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1148?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 - -28. Let g be (-2)\/t + 5838\/70. Let p(m) = g*m - 162*m + 87*m - 1. Determine p(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 5*p**2 + 41*p - 445. Let k be h(8). Calculate the greatest common factor of 12475 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 25*q**2 + 53*q + 8. Let s(v) = 12*v**2 + 32*v + 5. Determine 3*p(h) - 5*s(h).\nAnswer: 15*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 220131 + 1.\nAnswer: 220132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.25108 - 11.82208. Let z = w - -0.651. What is z rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 280 and 24458.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k**5 + 15*k**4\/4 + 5*k**3 + 5*k**2\/2 + 18. Factor l(o).\nAnswer: 5*o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6518, -12999, -19480, -25961?\nAnswer: -32442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3605, 0.5 in descending order.\nAnswer: 2, 0.5, -3605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-10)\/j*j**3*(j**(1\/4))**22 assuming j is positive.\nAnswer: j**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2 + 263530*p - 263532.\nAnswer: 2*(p - 1)*(p + 131766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200*z = 70*z - 5838 + 978 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of 4*l**4\/3 - l**3\/6 + l**2 - 5*l. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1807*2661.9\nAnswer: 4810053.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -837 - -1473. What are the prime factors of a?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*d + 17 - 1401 = 0, -v = -2*d - 1409. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1681805041.\nAnswer: 7, 240257863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tpe when three letters picked without replacement from {p: 1, q: 6, e: 1, t: 2, g: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2031*i**3 - 1000*i**2 - 2*i - 100262524 wrt i?\nAnswer: -6093*i**2 - 2000*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: e0cb61 (base 15) to base 6\nAnswer: 1020442044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*i**3 - 14906*i**2 + 29499*i**2 - 14942*i**2 - 2*i**4 + 2*i in the form u + b*i**4 + x*i + t*i**2 + w*i**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**5 - 5*h**5 + 3*h**5 + (-4*h + 2*h + h)*(-1286970 + 1286970 - 822*h**4) + (5*h**2 + 8*h - 8*h)*(2*h**3 - 6*h**3 + 3*h**3) + 2*h**5 + h**5 - h**5.\nAnswer: 817*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 386162 is divided by 128719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3\/5 - 1\/5*b**2 - 4\/5*b = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -24486 or -24484?\nAnswer: -24484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**3 - 12*p**2 + 5*p - 15. Calculate r(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4885 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 3 + 13 = 0. Let p be 2\/(-3)*(-6)\/4. Let m(o) = 1 - 1 + p + 5*o. Give m(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 7) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -68.1358, -4, 0.4, 0.\nAnswer: -68.1358, -5, -4, -2, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 654\nAnswer: -65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5*c + 39 = 0, 3*c = 13330763*r - 13330763*r - 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 17*x**2 - 30*x + 16. Let k = 4 - -34. Suppose -3*h - 9 = 0, -2*h - 43 = 5*j + k. List the prime factors of i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -19*l - 354. Let o be u(-20). Solve -2*q - 6 = 0, 2*q + 0*q = 5*v - o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7954955 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 11*s**2 - 4*s + 1. Let g be y(-1). Suppose 13 = g*l - 51. Let m(t) = t**3 - 5*t**2 + 6*t - 1. What is m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14890*j**2 + 10700*j**2 - 10101*j**2 + 3388*j**2 + 28627*j**2.\nAnswer: 47504*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z\/z**(-1))\/z))**(3\/23)\/((z\/(z\/z**(-3\/4)*z*z))\/z*z*z*z\/(z*(z\/(z*(z**(1\/10)\/z)\/z))\/z)) assuming z is positive.\nAnswer: z**(53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/8)\/(26\/(-8)). Let a be (0 + 0)\/(-12 - -13). Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*a - 132 = 0. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 872*y + 41278. What is i(-50)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of r**4\/12 - r**3\/2 + 3*r**2 + 227*r. Suppose -i = 5, -3*b - 3*i + 2*i + 7 = 0. What is o(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c - 13*c + 39*c + 9*c - 6*c - 29*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 258*n**2 + 215*n**2 - 46*n**2 - 102*n**2 in the form j*n**2 + s + x*n and give j.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) -3  (c) -1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -13*b**4\/4 - 2*b**3\/3 - b**2 - b - 3. Suppose -14*v + 4 = -18*v. What is the remainder when 21 is divided by d(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 180843*o - 180843*o + 2*o**3 - 81*o**2.\nAnswer: 2*o**3 - 81*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -383 in -2, -4, -1.1, 3\/56, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*l - 2774 = -24*l - 24*l. Calculate the remainder when 1972 is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3 - (-7)\/((-49)\/(-8883))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11481051.37 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 12 - 2*t**2 + 10*t**2 + 5*t - 5. Let n be (-3 - 20\/(-12))*90\/20. Is l(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -42 - -42.984. Let v = -0.016 - i. Is v < 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 140829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2246  (b) 2  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 386461831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63761.\nAnswer: 63761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9187?\nAnswer: 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/((t*t*t\/(t**6*t)*t)\/t)*t**(2\/5))\/(((t**(4\/5)\/t)\/t)\/(t*t\/(t\/t**2))))**(-47) assuming t is positive.\nAnswer: t**(-2256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 5*k - 5730 = 7253, 3*u + 5*k = 19462. Find the common denominator of 1\/60 and ((-4)\/14)\/(((-2160)\/u)\/10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55, 65, 87, 127, 191, 285, 415?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 45 + -12. Suppose 280 = -160*a + 170*a. Let l(z) = -11*z + 314. Let p be l(a). Calculate the highest common divisor of p and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 3*z + 5*z)*(-415 - 343 + 422)*(0 + 0 - 1).\nAnswer: 1680*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 801 + -800.9. Which is the biggest value?  (a) 2  (b) 36  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 188 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*d**4*l + 824439*d**3*l - 134*l + 46898 wrt d?\nAnswer: -12*d**3*l + 2473317*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4681919?\nAnswer: 11, 17, 25037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 0.12  (c) -3  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 391 or 390?\nAnswer: 391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 16312800 and -33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2443\/4 + -611. Which is smaller: 2\/1647 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (43\/((-1118)\/(-3)))\/(3\/4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -2\/2969, 2\/5, -0.04 in descending order.\nAnswer: 2\/5, -2\/2969, -0.04, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 182 = 13*z. Suppose 5*b = 2*s - 31, 0 = -3*s + s - b + z. What is the remainder when 9 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*c - 1250 = 5*c, 0 = -4*v + c + 1006. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1133 - -2?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 + 11263*l + 22522.\nAnswer: (l + 2)*(l + 11261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -700*t + 4 - 2 - 747*t + 2908*t - 693*t - 698*t.\nAnswer: 70*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 525858.3 millilitres in litres?\nAnswer: 525.8583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 2, v: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 48598695 to the power of 1\/2, to the nearest integer?\nAnswer: 6971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -31*i**2 + 617*i - 323. What is l(19)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -999, -980, -961?\n\"Answer: 19*g - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -1104351.\nAnswer: 1\/1104351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-382.\nAnswer: -38.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/5 - 1168386*b\/5 - 2336764\/5.\nAnswer: -2*(b + 2)*(b + 584191)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -265 and 9?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-13) + (-110)\/(-715)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*b - 5*b + 13*b + 2.\nAnswer: -38*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9957.594l?\nAnswer: 9957594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1)\/3 + (-583)\/(-3).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 262 minutes before 2:05 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**3\/8 + 112941*x**2\/4 - 23978181*x\/8 - 9245925 = 0.\nAnswer: -75400, -3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 42 = -5*u, 0 = -3*u - 2*n - n + 27. Suppose 6*z = 13 - 7. Let y be ((-16)\/6)\/(z\/(-12)). Calculate the highest common divisor of u and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18775 - -18812.995. Let o = -38 + h. What is o rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - t - q = -28, 0 = -4*t + 5*q - 62. Let o = 17 + t. Suppose o*f = w - 3, 3*w - 2*w + 2*f = 21. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -363*a**2. Let h(q) = -118*q - 443. Give h(p(t)).\nAnswer: 42834*t**2 - 443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9197751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 101141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, e: 3, u: 4}. Give prob of sequence uub.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/180 and ((-17303)\/1320)\/(-11) - 0?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -272 in 2\/7, 4, -2, 74?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 72 = -4*y - j, 2 = -y + 3*j. Let z = -10 - y. What is the third derivative of -2*l**4 + 13*l**2 - 3*l**z + 0*l**4 - 6*l**4 wrt l?\nAnswer: -264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35 - 24. Let z = o + -54. Let h = z - -57. Is -3 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2442 + 102132?\nAnswer: 44140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 233313, 233086, 232859, 232632, 232405?\nAnswer: 232178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 260 * -46.59\nAnswer: -12113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1441177 is divided by 288233?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 15568 divided by -8\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 101355780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-124)\/(-1612))\/(2\/26). Solve 6*t + 31 - o = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - 14*d - 7. Does 13 divide v(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*p + 7*p - 5*p**2 + (-2*p - 3 - 6 + 4)*(-p + 2 - 2) + 33*p**2 - 151 + 151.\nAnswer: 30*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -698920219560405449 + 698920222666143671.00000019. Let z = m - 3105738235. Let t = z + 13. Round t to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q + 5*q - 4*q**4 + (-4 + q + 4)*(-q**3 + q**3 - 4*q**3) - 2*q**4 + 5*q**4 - 2*q**4.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, t: 2, c: 1, n: 2}. What is prob of picking 1 t and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*p - 98, -p + 53 = 4*l + 22. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h = 4*n - 51, 13*n = -h + 10*n + 7*n - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 AM and 3:48 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2098 + 2396. Let z be (-20)\/(7*12\/w). What is z rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4224611, -4224608, -4224605, -4224602, -4224599, -4224596?\nAnswer: -4224593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*6*(-24)\/(-48). What is the second derivative of 33*d**2 - 13*d + d**i - 51*d**2 + 30*d**2 wrt d?\nAnswer: 6*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3900 and 4540?\nAnswer: 885300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 78095237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 40827070 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 4*l**2 + l + 1. Let b be f(4). Let a = b - 3. Suppose a*i = i + 3. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2 - j - 1. Let o(r) = -r**3 + 4*r**2 + 2*r. Let x be o(5). Let l = -8 - x. What is the remainder when z(-3) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -54\/11?  (a) -0.5  (b) 1\/4  (c) 2\/7  (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 798701, 1597452, 2396205, 3194960?\n\"Answer: j**2 + 798748*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((-2*sqrt(300) - sqrt(300)) + -3 + sqrt(300)*2 + -2))**2 - ((sqrt(27)*1)\/sqrt(3))\/(-3*sqrt(3)*-4).\nAnswer: 10799*sqrt(3)\/12 + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 459 = 48. Find the second derivative of -187*i + r*i**4 + 67*i**4 + 2774*i**2 - 2774*i**2 wrt i.\nAnswer: 2448*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 948063.\nAnswer: 10428693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19848 + 19480. Which is the smallest value?  (a) -1.1  (b) 1\/5  (c) f  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of g**5\/20 - 3*g**4\/16 - g**3\/4 + 11*g**2\/8 - 3*g\/2 + 108. Factor s(y).\nAnswer: (y - 3)*(y - 1)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 0 - -1*18\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -34*c**3 + 2*c**2 + c. Let g be n(-1). Let v = g - -252. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*n + 12*n - 2992 + 5*n + 3*n + n to the form b + x*n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 + 10*d**2 - 8*d - 10. Is 18 a factor of h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, p: 1, c: 1, n: 1, b: 2, u: 2}. Give prob of sequence lbl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*2*sqrt(208)*3*-1 - -2*(-2 + sqrt(208)*-2 + 3))**2.\nAnswer: 128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -947, -1223, -77, 3223, 9409, 19213, 33367, 52603?\nAnswer: 77653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((10336\/21726)\/(-152))\/(2\/18).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*j = -18*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 3749358 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 15*i**2 - 40*i - 57. Give l(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxpxpxxxxx. What is prob of sequence xx?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5*n - 37 = 0, f + 4*n + 4 + 10 = 0. Let j = 38 + f. Suppose h = -0*h - 2*a, -4*h = 2*a + j. Put h, 2\/7, 2\/5 in increasing order.\nAnswer: h, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - 5*g**2 - 335*g + 609. What is m(20)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237*r + 91*r + 134*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 17) + (-215 - -250) + -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**3 - 10*r**2 - 126*r + 538. Let d be l(4). Solve -5*h + d*h - 8 = f, -2*f + 28 = -5*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-117)\/(-6) + 13\/(-26).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 123433 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 806590 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2406*u**5 + 10*u**2 - 5.\nAnswer: -144360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 141022.23 nanoseconds in minutes?\nAnswer: 0.0000023503705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(6\/11)\/f**(1\/11))\/(f**5*f*f**3))**(-6\/13) assuming f is positive.\nAnswer: f**(564\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -3*h, 5*t - 11 = h + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 60529 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -130542, -522172, -1174886, -2088684, -3263566, -4699532?\nAnswer: -6396582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 24*a + 10. Let g(z) = 8*z + 4. Let s(p) = 11*g(p) - 4*k(p). Let w(b) = -18*b**2. Give w(s(f)).\nAnswer: -1152*f**2 + 1152*f - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 3*f + 3. Let m(k) = -k**3 - 4*k**2 + 4*k - 2. Let l be m(-5). Suppose -4*y - l = 9. Calculate c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2436819 and 17248?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 906.6054ml in litres?\nAnswer: 0.9066054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from icxeeec.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from {e: 4, t: 1, i: 3, u: 2, d: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**5 + 2*v**5 + 3*v**5 + (-1 + 1 - 2*v)*(8*v**2 - 4*v**2 + 5*v**2)*(2*v**2 - 6*v**2 + v**2).\nAnswer: 56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*f + 46 + 90. Let d(s) = 2*s**2 - 33*s - 15. Let o be d(f). Solve -2 = 6*u - o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 w when three letters picked without replacement from wmvre.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 + 18\/4)\/(4\/24). Does 2 divide (-120)\/u*(-54)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.4, 41, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k - 2*z + 2, -3 = -4*k + 417*z - 420*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/2*20\/125)\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, -3, -39, -115, -243, -435, -703?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 AM and 8:09 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 220001?\nAnswer: -212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 110*u - 7. Let m be y(3). Let g = 462 - m. Suppose -i - 33 = -g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3651737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 48*s**2 + 2*s + 2. Let b(d) = -d**3 - 95*d**2 - 5*d - 5. What is 2*b(t) + 5*q(t)?\nAnswer: -2*t**3 + 50*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {a: 6, p: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2513, -2531, -2575, -2657, -2789, -2983?\nAnswer: -3251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-98442 - -98509) + 3 + (-1 - -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + 11*m**2 + 3*m - 28. List the prime factors of f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 763637?\nAnswer: 7, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -85 + 15. Let q = -826 + 830. Solve -q*s - j = 4*j - v, 4*s + 3*j - 29 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - -1. Suppose 2*i = 6*i - 40. Calculate the greatest common factor of i and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 q, 1 i, and 1 z when four letters picked without replacement from hqipqzqpzqqq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(153) - sqrt(153)*-3*-3) + sqrt(153)))\/(sqrt(27)\/(-5*sqrt(3)*4)).\nAnswer: -560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 10 = s - 164, -k - 457 = -3*s. What is s rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -46 + 38 - 3\/(30\/1345)*-188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.59 - -45.59. Let f = -91 - -41. Let v = i + f. Which is the second smallest value?  (a) v  (b) -2  (c) 4  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -0.015.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 21 - 11 - 1866*v**2.\nAnswer: -1866*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3252074 + -29300038\/9. Let z = -3490 - j. Calculate the common denominator of 59\/8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-10)\/(-40))\/(55\/40) - (-260)\/143. Let o = -0.5 + 0.3. Let m = o + -0.3. What is the closest to -0.5 in l, m, 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-15)\/10)\/(-2 - (-39)\/24). Is i\/(-3 + -1) + 294 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than 1252923563?\nAnswer: 1252923563.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3435436 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v = -1045 + 1157 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-2)*-575*12\/(-276).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8143  (b) 9  (c) 2\/3  (d) -0.089  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 316.6?  (a) 32  (b) -10  (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/(p**(1\/9)\/p))*p\/p**(-1)*p*p**(1\/4)\/p**0 assuming p is positive.\nAnswer: p**(85\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/534 and -55\/12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-30)\/195 - (-204)\/(-26). Let o = 13 + i. Suppose -5*j = -u + 43, -j = -u - o*j + 43. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 156*x + 17*x + x**2 - 30*x. Let s(d) = -12*d + 18*d - 7*d. Determine s(h(b)).\nAnswer: -2*b**2 + 169*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/4))**(-2\/43))**30 assuming q is positive.\nAnswer: q**(-15\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 209192 and 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -109 + -40. Let g = -147 - v. What is the least common multiple of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 898, 1829, 2790, 3781, 4802, 5853?\n\"Answer: 15*n**2 + 886*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/(-7)*(-1)\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 7*b + 3*b = -18, -20 = -4*b. Factor 0*j**2 - 3 + 2*j**h + 1 - 4*j + 4.\nAnswer: 2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-3 + (1*sqrt(189)\/sqrt(3))\/(-1*sqrt(81)))**2.\nAnswer: 2*sqrt(7) + 88\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -19*b**2 - 3*b + 9*b + b**3 - 7 + 12*b**2. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 + 26*u**2 - 129*u + 180.\nAnswer: -(u - 20)*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20694441.\nAnswer: 3, 71, 97157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 6 - 8. Let m = 3\/14 + -13\/28. Let s = 2.04 + -2. What is the closest to 2\/5 in s, t, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 8*t**2 + 9*t - 12. Let c be f(7). Factor 1\/2*i**c + 0*i - 2.\nAnswer: (i - 2)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110110101111001 (base 2) in base 8?\nAnswer: 66571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2204.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -356045 (base 9) to base 16\nAnswer: -3455f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (31 - (-25 + 52)) + 19\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(20)\/(4*sqrt(4)) + sqrt(45)\/(sqrt(9) - sqrt(9)*-1) + sqrt(5) + sqrt(5))*4)**2.\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, i: 5, m: 1}. Give prob of sequence idd.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 135 + -138. Sort i, 0, 3, 26 in ascending order.\nAnswer: i, 0, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1858*u + 83478 + 105680 - 35925 = -8413 for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1558222042 to the power of 1\/3, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (15 - (12 + 5))*3078\/(-4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -4*r - 16. Let p be 6\/(-3) + 1 + 3. Is p\/r - (-2604)\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 4*n + 22 = 0, -42*g + 44*g + 8 = n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 - (11 - 19) - -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 11:59 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from njff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3002136.\nAnswer: 2, 3, 67, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -43. Is (-2 - -5) + 1*q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, d: 1, m: 1, n: 2, h: 2}. What is prob of sequence qq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-32)*c**3*c assuming c is positive.\nAnswer: c**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 3*x + 1. Let j be v(3). Is 4*(-887)\/(-4)*j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**2 + k**2 + 2*k + 3 + 0. Let o(z) = z**3 + 19*z**2 + 3*z + 67. Let x be o(-19). Suppose -5*t - 33*q = -29*q - x, -25 = -5*q. Determine g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12238195 to the nearest integer?\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (52\/(-8))\/(-13)*-8. Let s be -5 + (-27)\/y - -2. Let 0*w**2 - 9\/4*w**4 - 3\/2*w**3 + 0 + s*w**5 + 0*w = 0. What is w?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*s - 36. Suppose -73 = s*g - 161. Calculate the lowest common multiple of 4 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 11*g + 6. Let o be (4\/2)\/2*3. Let s(p) = -4*p - 2. Calculate o*i(r) + 8*s(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11266 + -4?\nAnswer: 11262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5107.196 litres?\nAnswer: 5107196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of z**6 - 2*z**5 - 7764*z**3 + 6*z**2 - 9904 wrt z?\nAnswer: 120*z**3 - 120*z**2 - 46584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**3\/7 + 15486*l**2\/7 - 39969366*l\/7 + 34386977882\/7 = 0.\nAnswer: 2581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 3\/5*q**4 - 3 - 6\/5*q**3 - 36\/5*q**2 - 42\/5*q = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*v**2 + 8*v**2 - 6*v**2)*(2*v - v - 2*v + 0*v + 0*v + 2*v + (3 + 2*v - 3)*(-3 - 2 + 7) + 2 - 2*v - 2) as g*v + o*v**3 + p*v**2 + y and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/176 and ((-507)\/988)\/13*((-1)\/8 - -4).\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2 = 0, n - 134 = -2*g + 40. Let x = -58 - -115. Let w = g + x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1677792 to the power of 1\/2, to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f - 20 = -p, 20*p - 45*p + 30 = -3*f - 22*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 6*p**2 - 6*p. Let r(h) = 12*h**2 - 11*h. Let v(y) = -7*n(y) + 4*r(y). Let u(z) = -z**2 + 2*z. Let j(o) = -2*u(o) - v(o). Find t such that j(t) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -h**4 - 158*h**3 - 1599*h**2 + 2718*h + 10584 = 0.\nAnswer: -147, -12, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cbbbbtclcctbttbc. Give prob of picking 1 c and 2 b.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18276 + 19733. Calculate the remainder when h is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/((r*r**0*r*r)\/r))\/r*r)\/r)**(-34)*(r*r*(r\/(r**(-2\/3)\/r))\/r)\/(r\/r**(1\/6)))\/(r**0*r**(-3\/5)*r**3*r\/r**(1\/4)) assuming r is positive.\nAnswer: r**(4061\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 180 - 71. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 797934 - -31.\nAnswer: 797965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27140.\nAnswer: 2, 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 171, 3, -1 in ascending order.\nAnswer: -1, 3, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -3  (b) 0.4  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*t + 541 - 569 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10250?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is s in s**5\/4 + 11*s**4\/2 - 87*s**3\/4 - 827*s**2 - 1568*s - 768 = 0?\nAnswer: -16, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d - 7. Let f(j) = j. Let u be f(-8). What are the prime factors of l(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 600 (base 10) to base 11\nAnswer: 4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -3444?\nAnswer: -3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/9 - 1354756*h + 2064784296978.\nAnswer: 2*(h - 3048201)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -5*t - 43. Let f be c(-9). Suppose -5*v - 3*j + 4 = 0, -j - 2 = 2*v + 2*j. What is the first derivative of -8 - 3 + 3 - 14*a**v + f wrt a?\nAnswer: -28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + -31 + 15 + 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 51*a**3 - 2*a - 2. What is the units digit of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -130 + 190. Calculate the remainder when 118 is divided by o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 69.03054 - 0.03054. Let w = 185808.4 + -185739.39992. Let t = w - d. What is t rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1267 or -1268?\nAnswer: -1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 51567097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*f - 81617 = 50479. Suppose -5*t - 7*t = -f. What is the remainder when t is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(68)*3 + 3 + (sqrt(68) - (sqrt(68) + 0 + sqrt(68))) + 3 + -5 + (-1 + 0 + sqrt(68) - sqrt(68)) + -3))**2.\nAnswer: -600*sqrt(17) + 7025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -98 - -102. Suppose -2*w - f = -2, -w - 3*f + a = -f. Solve 2*s - 3 + 1 = w, 5*s = -2*d - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1227.185029093 - 12.886472747. Let u = r - -1235.2715. Let g = 4.8 + u. What is g rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4828*q - 1242. Is j(53) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v - 15. Let c(p) = 3. Let u(w) = -10*c(w) - 2*g(w). Let i(l) = -5*l - 1 + 1. Determine i(u(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -1\/2, -5, 4, -3.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 91246073 to the nearest integer?\nAnswer: 9552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**0)**(-4)\/(a**(2\/7))**(-3\/41)*(a*a**(1\/2))\/a**(-1\/12)*a*a*a\/a**0*a**0 assuming a is positive.\nAnswer: a**(15857\/3444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1989236723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a - a - 3*a + (43 + 36 + 22)*(a - a + 2*a) as s*a + t and give s.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of o**5\/30 + o**4\/12 - o**3\/6 + 4*o**2. Let m be u(3). Solve 5*y - 3*v = -m, 0 = y - 0*v - 4*v + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(304)*-5 - ((-5*sqrt(931) - sqrt(19)) + -2).\nAnswer: -24*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.11 + 9. Let m = d - -0.18. Let k = -0.03 - m. What is the second biggest value in -3, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15522 - -10043431?\nAnswer: 10103353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*z - 1112 = -5*m - 58*z, -5*z - 850 = -4*m. Calculate the greatest common factor of m and 760.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -4. Suppose -4*i = f*t - 3 - 5, -5*t = 5*i. Suppose 3*b = b. Solve b = 2*a - i*m + 2, 2*a - 13 = a - 5*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r**2 + 3*r + 2. Let i be b(-2). Is 19 a factor of 6\/(-8) + ((-4620)\/i)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7189583, 14379168, 21568753, 28758338, 35947923?\nAnswer: 43137508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 - -0.6. Let s be (-1129)\/15 - 16\/(-24). Let p = -74 - s. Which is the third smallest value?  (a) p  (b) j  (c) 2\/17  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 2*m + 4 = -2, 15 = 5*g - 2*m. Let v be -4*g - (-12 + 10). Which is the nearest to v?  (a) 3\/8  (b) 1\/36  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-33) + (-1278)\/(-11). Let w = 263 - r. Let a = w - 102. Calculate the highest common factor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4  (b) -0.2  (c) 1999\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -33152472*-2\nAnswer: 66304944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 989*t + 2126 = 19928 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**3\/4 + 216*w**2 + 1680*w.\nAnswer: 3*w*(w + 8)*(w + 280)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -127 - -128 - (-1 - 1 - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-21) + (-1)\/((-42)\/(-2916)). Let l = 25 + -47. Let y = l - b. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-798 - 279 + 238)*(3 - z - 5*z + 4*z).\nAnswer: 1678*z - 2517","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -2. Let r = 1026 + -388. Let i = -7657\/12 + r. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 2*w - 1. Let b = 1 - 2. Let i be ((-9)\/b)\/(3\/3). Let y be 24\/108 + 16\/i. Determine o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i*i**(-1\/3))**(-1\/34))**(-2\/23)\/((i*i\/i**1*i*i)**28*(i*i**(-1)\/i)**21) assuming i is positive.\nAnswer: i**(-73891\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14689303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -267968\nAnswer: -7\/267968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/1413 and -193\/2970.\nAnswer: 466290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57 - 53. Let y = -10 + 21\/2. Let g = -2218.3 + 2219. Which is the nearest to y?  (a) 1\/3  (b) q  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11857 = 25*x - 12257. Calculate the smallest common multiple of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 10*z**3 + 3*z**2 - 12*z**2 + 0*z**2 + 13*z**2 + 8*z**4 + 2*z**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 122, 3, -15, -0.4, 2 in descending order.\nAnswer: 122, 3, 2, 1, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, k: 11, x: 2, u: 2}. Give prob of sequence bkbk.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 504559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31 + 92\/3. Let j = -1355 + 1337. Put j, -2, -0.4, d in descending order.\nAnswer: d, -0.4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1087.479 to zero decimal places.\nAnswer: -1087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + r - 1. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 3*r - 74 - 17, 2*l - 2*r = 46. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/20*(-2570)\/(-771)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-3*sqrt(44))\/(sqrt(8)\/sqrt(50)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 0, 3298, -2\/3, -5 in decreasing order.\nAnswer: 3298, 1\/2, 0, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s**2 + 33. Let x be g(0). Suppose 0 = 6*h - 17*h + x. Let v be 0\/(h - 8) - -3. Solve 5*r + 3*i + i - 7 = 0, -4 = -5*r - v*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 3)*(-3*s**4 - 14*s**4 + 11*s**4 - 8*s**4 + 0*s**4 + 0*s**4 + (-2 + 0 + 4)*(-2*s**4 - s**2 + s**2)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0035094 to 5 dps.\nAnswer: -0.00351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -102 + 1192. Calculate the lowest common multiple of n and 22.\nAnswer: 11990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-110)\/((-15180)\/414)*((-3)\/2)\/1?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2554 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -62.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/18*44\/(-77)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.8 - -4.8. Which is the closest to -0.1?  (a) o  (b) 2\/13  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -157, -333, -509, -685?\n\"Answer: -176*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12763916 by -3190979.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 31563 (base 10) in base 3?\nAnswer: 1121022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 29, -46, 9 in decreasing order.\nAnswer: 29, 9, 2, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15470\/234 + -101 + (-10)\/9?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 + a - a)*(5 + 2*a - 3 - 3).\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 2:58 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -6*w - 10. Calculate the remainder when ((-44)\/(-6) + -5)\/(w\/108) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/56 and -43\/4508?\nAnswer: 9016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 28086 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -19706762*-0.3\nAnswer: 5912028.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 95.116 + -0.116. Let o = m - 95. Sort 1, o, -1\/5, 2.\nAnswer: -1\/5, o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/13  (b) -18  (c) -0.1  (d) 5  (e) -10  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r - 114 = 35*r + 58 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 9*b + 8. Let u(m) = m**3 + 5*m**2 - 15*m + 1. Let o be u(-7). Let c be i(o). Solve -z - c = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 = -u - 19*y, 744*u - 6*y = 748*u + 130 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - 1 - (-14 + 1). Let k(f) be the second derivative of f**5\/20 - f**4 + f**3\/3 + 7*f**2 - 8*f. Is k(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(1\/4)*y**(-1\/3))\/(y**3\/(((y*y**(3\/2)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6636 = -2744*d + 2748*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-9)*18\/(-4). Which is the nearest to 2\/3?  (a) -1  (b) -2\/9  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q**3 + q**3 - 2*q**3 + (0 + 22 + 0)*(-3*q**3 + 3*q**3 + q**3) in the form z*q**3 + k*q**2 + g + d*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7)\/((-98)\/35)*2. Let l be 2\/7 - 828\/(-42). What is the greatest common factor of l and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3666 (base 13) to base 6\nAnswer: 55333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of a**3\/6 - 3*a**2\/2 - 12*a. Give w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 0.3  (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -448*f**6\/15 - 89*f**3\/6 - 3*f**2 + 7*f - 67. What is the second derivative of r(j) wrt j?\nAnswer: -10752*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -9759342\nAnswer: -9759337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 40\/3*(-9)\/(-6). Let k be 40\/6*1*3. Calculate the greatest common divisor of k and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -679640494 at least -679640494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -974 - 61*b - 979 + 1953.\nAnswer: -61*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.016 and 93434723158.02.\nAnswer: 93434723158.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 3*f + 20, 2*m - 4*f - 94 = 0. Let u = m + -29. Calculate the smallest common multiple of u and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j + 1450 + 6646 = 0. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.06 and 185.6?\nAnswer: -11.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 - 3 - (9 - 1). Let w(g) = -3*g - 8. Is w(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 86*x - 23. What is n(1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 2*n + 4. Let p be w(4). Let c be 12*((-3)\/p)\/(-1). Let l(i) = i. Let o be l(c). Calculate the greatest common factor of o and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 10:27 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.0641 to two decimal places.\nAnswer: -3.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 586.1 and 1.3?\nAnswer: 761.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c + 45, 2*x - 26 = -7232866*c + 7232868*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 11 + 7 = 5*u. Solve -3*b = -5*h - u, -h + 30*b - 28*b - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 13*b**2. Let w(x) = -2*x**2 - 5*x**2 + 7*x**2 - 9*x**2. What is h(w(i))?\nAnswer: 1053*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t + 1. Let u(s) = s**2 + 8*s + 10. Let v be u(-7). Suppose -j + v*j + 20 = 0. Let d be 30\/j + (2 - 1). Determine w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzfpfzzzfzfpzzf. Give prob of picking 2 p and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 = -25*m + 3141. Let q = -70 + m. Calculate the remainder when 174 is divided by q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (16431*y + 40819*y + 1 + 13038*y)*(3 - 3 - y**2) as t*y + m*y**2 + s*y**3 + d and give s.\nAnswer: -70288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (135\/27)\/(2*(-3)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*v + 12*v + 798 = 0. What is the remainder when 104 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2. Let g(a) be the second derivative of -131*a**4\/6 - 332*a. What is z(g(i))?\nAnswer: -68644*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1140 = 2*z + 3*z + 3*r, 4*z - 895 = r. Let h be ((-2)\/(-5))\/(18\/z). Suppose -x - 141 = -h*t, -5*t - x = 2*x - 137. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 1 = -4*f - 25, f - 2*x + 19 = 0. Let u(n) = -n - 8. Calculate u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 16, -4*f + 2*f - 72 = -w. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dxvwvxwl. What is prob of picking 1 d and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1870 is divided by 119.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 1)*(6*z - 3*z - 2*z + 2 + z - 2 + 2*z + z - z + (z + 0*z + 0*z)*(-3 + 0 + 2) + z + 2*z - z) - 38 + 5*z + 38.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + d = 16 - 5, -3*d = -3. Let x(c) = -3*c**3 + 0*c**3 + 1 + 6*c**3 - 5*c**2. Let p(i) = i**3 - 2*i**2. Determine k*p(m) + 2*x(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t - 4*t - 8. Let s(p) = -p - 8. Let o be s(-4). Let b be (-2)\/(-13)*-1 + -10*(-112)\/520. Put o, b, t in increasing order.\nAnswer: o, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**5 + 0*c**5 - 2*c**5 + 2*c**5 + 4 - 4 - 4*c + 4*c + 2*c**5 + (-1 - 3 + 2)*(-c**3 + c**3 - c**5) + (0*c - 2*c - c)*(2*c**4 + 2*c**4 + c**4).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -401.93935*2\nAnswer: -803.8787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 PM and 11:30 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(308)\/(-2*sqrt(7)) + (sqrt(44) - sqrt(44)*-3*1))*-4.\nAnswer: -28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 - r**2 - 5*r - 4. Give h(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -92, -358, -794, -1394, -2152, -3062, -4118?\n\"Answer: i**3 - 91*i**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f. Let g(n) = 2*n + 1. Let p(i) = -4*d(i) + 5*g(i). Let u(x) = 2*x - 3. Let s be u(3). Let v(o) = 2 - s + 0. Determine p(j) + 4*v(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 187438 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -3*r**7\/70 + 7*r**3\/6 + 5*r**2 + 6. Let w(q) be the second derivative of n(q). What is the first derivative of w(f) wrt f?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163993 is divided by 800.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -2*i**5\/95 + 5*i**4\/38 - 4*i**3\/19 - 4*i**2\/19 + 16*i\/19 + 1386. Factor o(g).\nAnswer: -2*(g - 2)**3*(g + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from krpxprkpkxkkkkxpp. What is prob of sequence kxkr?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14415325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-305)\/6 - 22\/132. Let v = c - -54. Solve -v*i = -0*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 2\/11  (c) 0  (d) 3  (e) 0.141158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7598450 to the power of 1\/2, to the nearest integer?\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1390560 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135 = -28*p + 13*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, g: 2, i: 1, k: 1, m: 1}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2247 and 587751?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 54 = 5*a - 2*x, -33 = 2*a + 3*x. Let z be 2 - 3*668\/a. Calculate the highest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -399 >= -373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1935 - -4?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + (-16835)\/2220)\/((-20)\/(-9))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -47, -145, -197, -113, 197?\n\"Answer: 15*n**3 - 67*n**2 - 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*1008\/(-196) - (148\/70 + 6\/(-15)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**9\/n**(2\/65))\/(n*n*n**(-3\/14)*n**(3\/4)) assuming n is positive.\nAnswer: n**(11709\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -3, 106 in increasing order.\nAnswer: -3, 2, 6, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 4:43 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.751 - -2.4. Let t = 0.049 - z. Is t smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from nbnnbbnxbn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -5\/6, -7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from ttowlpw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 24561, 24578, 24595, 24612?\n\"Answer: 17*c + 24544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -25*z**2 + 42*z + 4. Give t(3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 822234254 and 6724.\nAnswer: 3362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -85, -185, -333, -535, -797, -1125?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4 = -3*k - 0*k, -3*f + 25 = 5*k. Suppose 5*t - 10 = f. Suppose 3*h = v + 3, h + 2 = -t*v + 3*h. Solve v = a + 4 - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -42*d**2 - 3*d - 20. Let n(b) = 2*b**2 + 2*b + 2. Let f(c) = -h(c) - 4*n(c). Is f(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2535 - 1333*j - 1312*j + 2646*j.\nAnswer: j - 2535","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(525)*-2 + (sqrt(1344)*2 - sqrt(1344)))\/(sqrt(384)\/(sqrt(32)\/sqrt(4)) - sqrt(192)*1).\nAnswer: sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 9*k**2 + 1442418*k - 480807 = 0.\nAnswer: -160269, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(2420)*2)\/sqrt(4) + (sqrt(60)*-6)\/((sqrt(63)\/sqrt(3))\/sqrt(7)).\nAnswer: -5 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11574597 - 11574597 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5693690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 2735 = -424. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 691 + (-42)\/(-6) - (-3 - 2)?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -52\/200139 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xqxjqxixijjrxrrq. What is prob of sequence xrr?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -55 - -69. Let y = -9 + u. Suppose 3*r - 15 = -3*o, r = -5*o - y + 10. Which is the third smallest value?  (a) -16  (b) r  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14870, -59612, -134226, -238712, -373070?\nAnswer: -537300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*6 + sqrt(70))\/sqrt(10) + sqrt(1008)*5 + -3.\nAnswer: -3 + 67*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {g: 1, c: 2, s: 2, a: 1, v: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qz when two letters picked without replacement from qzqqqziiiiiqzzzizizi?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0417 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -17. Let g = -9 - s. What is the second biggest value in g, -5\/4, -2\/7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 69 + 66 = 3*u, -20 = -5*u. Suppose -48*t = -n*t + 49. Let m(c) = -3*c - 6. Give m(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 3, -10, -11, -1 in ascending order.\nAnswer: -11, -10, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(-175))\/((-176)\/1320)*3*(-10)\/108.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 1579 + 581. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**(1\/6))\/x)\/x)**(2\/23) assuming x is positive.\nAnswer: x**(-7\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2537999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f. Let l(q) = q + 2 - 42 - 20 + 49. Determine -3*g(j) - l(j).\nAnswer: 2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5.14  (b) 5056  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43 - 405531?\nAnswer: -410014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Convert 1020.4236 minutes to weeks.\nAnswer: 0.1012325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 88*w + 180 - 180 + 298*w to f*w + o and give f.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-57456)\/532*(-5)\/(45\/2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 + 6*r + 5. Suppose -19 + 57 = w + 5*q, 2*w = -2*q + 68. Let g be 40\/6 - (-11)\/w. Let z be i(g). Let l(a) = -6*a - 2. Determine l(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -127b - 366?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 + -0.2. Let l = -0.3 - n. Let v = l - -0.1. Which is the closest to -1?  (a) v  (b) 4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -22460, -90.\nAnswer: -22460, -90, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 652\/3*(-30)\/4. Round c to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (450\/300)\/((-3)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4874 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -97668 != -879010\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1036 + 158?\nAnswer: -cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2699 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/8*-1)\/((90\/24)\/(-15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.035275 * -5.6.\nAnswer: 0.19754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5*(2 + -2*sqrt(320) + (1*sqrt(320)*-3 - sqrt(320)) - -6*sqrt(320)*-4*-4))**2.\nAnswer: -64800100 - 72000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -11. Suppose x - 3 = 2*q. Suppose 0 = -s + q*s + i - 13, -5*i = -4*s + 61. Solve -5*j = -2*f - 7, 0 = -j - 0*f + 3*f - s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10*(-27)\/2475*(-10)\/4\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 900\/112) + (-8)\/(-28). Which is greater: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**2 + 16*v**2 + 2*v**2 - 339*v**3 - 1 - 321*v**3.\nAnswer: -660*v**3 + 21*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.18 - 0.81. Let y = 0.07 - q. Let l = -2 - -1.9. Which is the closest to l?  (a) 0.4  (b) y  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5847 = -312*n - 2883 - 20228 - 682 for n.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1\/6)\/h**(-6\/5)*(h\/h**(-1\/4)*h)\/h**(-1\/20) assuming h is positive.\nAnswer: h**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**4 + 2*k**4 + 0*k**4 + (-k**2 - 6*k**2 + 0*k**2)*(19 + 2*k**2 - 19) + k**4 + 0*k**3 + 0*k**3 + (4 - 4 - k**2)*(3*k**2 - 4*k**2 - 8*k**2).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04142 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 10*f**2 - 1. Suppose 98 = 6*x - 4. Suppose -16 = -l - x. What is the remainder when 42 is divided by c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1551885 is divided by 103?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*h - 3*n + 4*n, 0 = 4*h - 5*n - 10. Let s(k) = -k + 1 + h - k + 12. Let q be s(6). What is the fourth biggest value in -2, q, -3\/5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, x: 1, c: 1, k: 2}. Give prob of picking 3 a and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 9:32 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1290, -1279, -1250, -1197, -1114, -995?\n\"Answer: j**3 + 3*j**2 - 5*j - 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17529 - -17527. What is the fourth smallest value in a, 15.2, 0, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 336.560154 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, f: 3, k: 2, h: 7}. What is prob of picking 2 k and 1 h?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -61889*j**5 - 46794*j wrt j?\nAnswer: -1237780*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 817827 and 6234993?\nAnswer: 7503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 2*h. Let r be t(2). Is -3\/13 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h = -15*h + 90. Let k(z) = -z**3 + 16*z**2 - 18*z + 34. Let w be k(h). Let b be (24\/(-66))\/(2\/w). Solve -3*g = -g + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + sqrt(152)\/sqrt(8)*-1 + 3 + (2*-1*sqrt(76) - sqrt(76))\/sqrt(4))**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98450 + 9089 + 4*t + 21796.\nAnswer: 4*t + 129335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29212 + 29212. Factor -10*f**3 + 19\/3*f**2 + n - 2\/3*f.\nAnswer: -f*(2*f - 1)*(15*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2163 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1102787751 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -48020281.9 + 3\nAnswer: -48020278.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 41?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 1853598.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 433 + 443 = 0. Let h = 0 - -13. Solve -5*c + a*y - h = 0, -4*c + 0*c - 8 = -y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.7, -1, -104.1, -2, -29, 1.\nAnswer: -104.1, -29, -2.7, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3*16\/(-4)*(-2)\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a microsecond in nanoseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 296 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + 15. Suppose -n - w + 28 = 0, o*n + 4*w = 2*n + 82. What is the highest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - ((-4)\/4 - 0). Is 8 a factor of (238 + m)*2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s be (5 - -1) + (9 - 11). Suppose -s*t = -v + 120, -2*v + v + 91 = -3*t. Let f = t + 51. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27160 + -4?\nAnswer: 27158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 854*t**3*y - 58838*t**3 - 202*t**2*y - 386711*t**2 wrt t.\nAnswer: 5124*y - 353028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-36)\/45)\/(8\/(-460)). Let a be (-39 - -35) + o\/10. Find w such that -a*w + 1\/5*w**3 - 4\/5*w**2 + 18\/5 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*r - 131*r = 429*r - 3200 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51139 is divided by 70.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.84918039 - -35349195.15081961. Let s = v + -35348907.00303. Let i = s - 289. What is i rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 75 - 75.04. Put -0.1, t, -1 in ascending order.\nAnswer: -1, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 1.1. Let r = p - -0.9. Suppose 0 = 25*t - 41*t + 64. Which is the nearest to r?  (a) -0.2  (b) t  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17621 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1 + -2.1. Let h = -2756 - -2759. Let g = 19\/10 - 7\/5. What is the closest to h in -3, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 124  (b) -0.002  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*((-5)\/10 - -1). Let f(v) be the second derivative of 0 + 0*v**2 - 1\/3*v**w - 2*v. Let x(i) = -i**2. Calculate x(f(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -v**4\/12 - 5*v**2 - 132. Let x(w) = -112*w. Give x(i(g)).\nAnswer: 224*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13577691379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1285\/2 + (-60)\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 9*y**3 - 27*y**2 + 124*y - 46. Let t be c(5). Calculate the greatest common divisor of 320 and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64077.\nAnswer: 3, 13, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 + m + 10. Suppose -14*a = -0 - 0. What is the smallest common multiple of 15 and l(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, h: 7, y: 2}. What is prob of picking 1 h and 1 l?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39783325?\nAnswer: 5, 37, 41, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 591 + 652 = 5*z + 35*i + 1128, 2*i = 4*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8256520*z - 3 - 35 - 8256521*z.\nAnswer: -z - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43938481?\nAnswer: 73, 601897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 2)*(95*t + 3 - 3 - 1872*t - 546*t) to the form o*t + b and give o.\nAnswer: 4646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of -x**6\/6 + x**5 - 5*x**4\/2 + 10*x**3\/3 - 5*x**2\/2 + x + 2. Suppose r(l) = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -2, 3\/5, 5, -5\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(5) + sqrt(45)\/sqrt(9) - sqrt(5)) + -4*1*sqrt(5).\nAnswer: -3*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*z = 1781 - 2129 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y - 4*y**3 + 4*y + 13*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/6)\/(6\/(-54)). Let p = 648 - 643. Sort 2, -2, p, c in ascending order.\nAnswer: -2, 2, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 1587907?\nAnswer: -476372.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -36*a + 4. Let f(u) = 12*u - 1. Let w(r) = -11*f(r) - 4*z(r). What are the prime factors of w(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -164.86 - -164.91. Is b < 2.34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -31*b**2 + 2*b + 2. Let j(u) = -63*u**2 + 5*u + 5. Calculate -5*a(v) + 2*j(v).\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from msmsx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 197+-927\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 4*g - 4*z = 372, -63 = -g - 5*z. Suppose 5*l + g = 398. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 52\/17, -1.12, -37, 2\/7 in ascending order.\nAnswer: -37, -1.12, 0.1, 2\/7, 52\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2398142808 a multiple of 2788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 98, 0 in ascending order.\nAnswer: 0, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 36*p + 40*p - 1036, 2*m = 5*p + 1072. List the prime factors of m.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 20*p**2 + 19*p + 1. Let t be x(-19). Let m(q) = -1. Let b(o) = 11*o + 5. What is t*b(c) + 5*m(c)?\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/218261 and -4\/909?\nAnswer: 1964349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v**3 + 3*v**3 + 5*v**3 + 715*v**2 + 2228*v**2.\nAnswer: 13*v**3 + 2943*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -277*h + 21544. Calculate o(78).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 - -58 - -15 - 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14299 - 14282. Solve 7*t = -3*f + 11*t + 15, -5*f + g = -4*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 13, -1, 0.\nAnswer: -2, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1016145645.\nAnswer: 3, 5, 29, 2335967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*a - 31*a + 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 9588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12833 is divided by 357?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b + 28*b - 2*b)*(2*b**4 + 4*b**4 - 5*b**4) + (-b**3 + 4*b**3 - 2*b**3)*(b**2 + b**2 - 4*b**2).\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 101010100101110000 (base 2) in base 14?\nAnswer: 47808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 3*b - 2. Suppose 2*x - b*x + 64 = 0. Let q = x - 5. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.2, -3\/4, 23, -1873.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 440266, -7, -5 in descending order.\nAnswer: 440266, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3*n - 3 = 0. Is (1130\/(-6))\/5*n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 27\/5*h**2 + 0 - 3\/5*h**3 + 156\/5*h = 0. Calculate h.\nAnswer: -4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1834, 3666, 5498?\n\"Answer: 1832*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68062 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.1187 + -51.7777. Let a = 46.7 + m. Round a to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 185*a**5 + 155*a**5 + 243*a**5 - 451*a**5 - 100*a**2 wrt a.\nAnswer: 7920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 1, -2*m - 3*d + 3 = m. Let p(u) = u - 36. Let o be p(m). Let a be (-3)\/o + 1\/(-3). What is the nearest to 1\/2 in 3, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l**2 - 134*l - 63. Let k be p(45). Let j(n) = 3*n + 41. Calculate j(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1140\/475*13\/((-195)\/50).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3, 29, 65, 105, 143, 173, 189, 185?\n\"Answer: -s**3 + 11*s**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + -87. Let v = -422\/5 - x. Put 7, -2, -1\/5, v in increasing order.\nAnswer: -2, v, -1\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -284*a - 244*a = -11*a - 4653 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14072957 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -27*u**3 + u - 22. Let f(r) = r**3 - r - 1. Let k(p) = -f(p) - o(p). What is the first derivative of k(i) wrt i?\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 7*v**3 + 10*v**2 + 38*v + 41. What is c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9238.\nAnswer: 2, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3116*m = 1576*m + 1593*m - 1908 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -46) + 1 + 6 + (-45 - -47)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o. Let l(c) = -98*c + 98*c - 36*c**2. What is l(b(h))?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00599 rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(4\/5)\/(a\/(a*a**(-4\/3)*a)))\/((a**1\/a)\/a)**12 assuming a is positive.\nAnswer: a**(187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88.6*-0.003.\nAnswer: -0.2658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 39, 86, 159, 264, 407?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2.18 times -83.06\nAnswer: -181.0708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -4617, 0.0348?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11894453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 54 and 546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 94 + -99. Suppose -3*z + 6*k + 76 = 4*k, k = -z + 17. Suppose 5*p = -2*s + z, p - 3*p = 2*s - 10. What is the nearest to s in 0.4, i, -2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -202*c + 90. Let z be l(2). Let d(n) = -6*n**3 + 5*n**2 - 9*n + 26. Let y be d(4). Is y > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-225)\/(-42))\/(-5)*(-196)\/168.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2242061243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5990530 > 29952646\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + (-24)\/15 + 8\/(-20). Sort 5, x, 3 in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kxkxlxxlxxlll. Give prob of sequence lx.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 9*c - 24. Let z(q) = -5*q - 1. Let u be z(-3). Let y = u + c. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**7)\/(c**(-2)\/c))\/(c**(1\/4)*c)**45*(c**(-3)\/c**(-2\/3))\/(((c*c\/(c\/c**(-1\/4))*c)\/c)\/(c*c*c**(-1\/14)*c)) assuming c is positive.\nAnswer: c**(-2495\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*f*j**4 - 57*f - 215*j**4 + 3 wrt j.\nAnswer: -8*f*j**3 - 860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - y = -3*y - 20, -3*q + 5*y - 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 400503696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + y - 7, -6*y + 2*y = 5*l - 16. Let a(h) = h**3 - 4*h**2 + 4*h + 4. Calculate a(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -163, -279, -221, 173, 1065, 2617, 4991, 8349?\n\"Answer: 27*v**3 - 75*v**2 - 80*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4\/5  (b) -22  (c) -14  (d) -0.06  (e) -28\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 360*y = 365*y - 2*o + 4, -1 = 5*y - 3*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -2*h + 8, 0 = -h + 2*h - 1. What is the units digit of ((-44)\/p)\/(2\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -1 - p - 2 + 2 + 1. Let t(v) be the third derivative of 0 + 0*v**3 - 1\/6*v**4 + 0*v - v**2. Calculate t(s(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*h - 3*i + 149, -41*h + 998 = 3*i - 159 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**12\/r**(2\/7)*(r\/r**(-2)*r*r)**(-10) assuming r is positive.\nAnswer: r**(-268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2460*g - 53 + 53 + 821*g.\nAnswer: -1639*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 6*o**2 + 11*o - 10. Let i(v) be the third derivative of -v**4\/12 + 13*v**3\/2 - 8*v**2. Let a be i(16). Determine m(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 55 - 21. Suppose u - 3 = 4*n. Let f be (8\/16)\/(37\/(-222)). Sort 2, n, f, -1.\nAnswer: f, -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*o**2 - 552 - 2*o**2 + 552.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-10) - (18\/20)\/(-1). Which is the closest to 1?  (a) k  (b) -6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/14*(-413)\/118. Which is the closest to 2\/7?  (a) -0.1  (b) 1\/2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-219)\/(-146) + (-3)\/2. Solve -a - 5*a + 12 = d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g - 3. Determine y(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*m**6 - 585558*m**3 + 386*m**2 + 151*m + 8.\nAnswer: 480*m**3 - 3513348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 31515, 125696, 282577, 502158, 784439?\n\"Answer: 31350*j**2 + 131*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2106527 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - -3*(-30)\/35)\/(200\/140). Which is bigger: b or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 3:20 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 0.289\nAnswer: -2.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4276 - 4212. Calculate the highest common factor of u and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 28*v - 242. What is the tens digit of f(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**2 + 0*w**2 - w**2 - 10*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 297733207 to the power of 1\/2, to the nearest integer?\nAnswer: 17255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/6  (b) -0.3  (c) -2\/7  (d) 15.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 113.158 + -0.158. Let v = -109 + u. Which is the closest to 0.1?  (a) -2  (b) 0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 632\/5 not equal to 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**3 + 6*a**2 + 9*a + 7. What is i(-4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 55369219349386 - -1?\nAnswer: 55369219349387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 1 + 2 + 102. Suppose 2*t - 3*l - 1 = 83, -l = 3*t - y. Calculate the lowest common multiple of 2 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/120?  (a) -4\/15  (b) 7  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.044531071 * 0.1\nAnswer: -0.0044531071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -10*j + 0 + 2*j - 5*j**2 + 6*j**2 + 5. Let c be b(8). Solve 22 = c*l - 2*y, 4*y = -5*l + 5*y + 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - -2. Suppose 7*j + 171 - 290 = 0. Suppose -m*g - j = -32. Solve 0*u + g*u = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 193541775 to the power of 1\/2, to the nearest integer?\nAnswer: 13912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.198 and 0.1.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - (-30 + -22 - -39)) + 75.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9090.825ml?\nAnswer: 9.090825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 357 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6880, 14059, 21228, 28381, 35512?\nAnswer: 42615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + 1*sqrt(19) + -1 + 1)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12519 is divided by 2304?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**5\/4 + 385*q**4\/4 - 375*q**3\/4 - 385*q**2\/4 + 95*q = 0. Calculate q.\nAnswer: -1, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10156 not equal to 10169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 53b (base 13) in base 10?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 57 + -55. Let h(g) = 237*g**2 - g - 7. Is h(a) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -52*n**2 + 65*n. Let f(k) = k**2 - k. Let x(v) = a(v) + 65*f(v). Let t(l) = 3*l**2. Determine t(x(y)).\nAnswer: 507*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - 74\/4*-2. Suppose -5*s = -r + 7. Solve 11*g - 10 = s*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -10641*x. Let r(o) = -89*o. Calculate a(r(h)).\nAnswer: 947049*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -34709, -34718, -34727, -34736, -34745?\n\"Answer: -9*h - 34700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3*f = 0. Solve v + 7 - 24 = 4*n, f = -3*n - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (11\/((-176)\/(-195000)))\/(3\/(-2560)). What is g rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-918)\/408)\/((15\/(-7))\/(48\/21))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*w - 2*x, 0*w = -2*w + 2*x + 20. Suppose 0 = -w*a + 843 + 447. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14*23\/(-966) - 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*((5 - 2) + 1). Let j be (-1 - r) + 24 + 4. Suppose 0 = k - 4*l - 1, 0*k + 2*l - j = -3*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + -16. Let m be ((-14)\/(-35))\/((4 + -5)\/5). Which is the third biggest value?  (a) m  (b) f  (c) 0  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156845 = -120*a + 211315. Does 73 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = 2*s + 4, 3*q + 13 = -4*s - 0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 536.2 - 536. Which is the closest to -1?  (a) 35  (b) l  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -1869183.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + -1 - (-4 - -288). Let u = -824\/3 - m. Calculate the common denominator of u and 83\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 23, 57, 109, 185, 291, 433, 617, 849?\n\"Answer: x**3 + 3*x**2 + 18*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k = 16*k + 2, 4*w + 5*k = 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 309, -6.\nAnswer: -6, 4, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 2:31 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -3. Let p(g) = -g**2 + 186*g - 8209. Let o be p(114). Put y, o, 5 in descending order.\nAnswer: 5, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 2*t + 1. Let s = 10 + -13. What is g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -2*j**2\/13 + 78082268*j\/13 - 762105072002978\/13 = 0.\nAnswer: 19520567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -375379*p + 53. Let z(h) = -h - 3. Let a(o) = -v(o) - 2*z(o). Let y be a(-13). Round y to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/11, 8, 15?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -13*v**4\/2 + 762*v**3 - 4537*v**2 + 4614*v - 1665\/2 = 0. Calculate v.\nAnswer: 3\/13, 1, 5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4, -41, -126, -277, -512?\n\"Answer: -3*u**3 - 6*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 5 + 3)*(0*d + 174 - 172 - 652*d**2 - d) as i + s*d**2 + y*d and give s.\nAnswer: -5868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t + 10. Let q be ((-2)\/(-5))\/(-3*4\/(-60)). Let z be w(q). Solve 5*k + 1 = -z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 2*x**2 + 2*x. Let d be c(-2). Let i(p) be the first derivative of -2*p**3\/3 - 2*p**2 - p - 63. Determine i(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123975 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2390.82 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16110 - 3?\nAnswer: -16113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 592, 1941, 4052, 6925, 10560, 14957, 20116?\nAnswer: 26037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q*q\/q**2)\/q**(-9))**(-7\/10))**5)**47 assuming q is positive.\nAnswer: q**(-2961\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*o - 6*o = 90. Let m = -5 + 7. Let n(p) = 5*p**m - 2*p**3 - p - 5*p**2 + 3*p. Calculate n(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3544 + -7087\/2. What is the nearest to -346 in x, -1\/8, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of g**4\/2 - g**3 - 5*g**2\/2 + 4*g - 2. Let v be i(4). Suppose 0 = y - 5*y + v. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f + 0 - 26 = 0. Suppose 10 = -f*n + 18. What is the least common multiple of 7 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -751544 + 751544 - 15*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-149 - -89 - -3) + (1 - (-1 - 2)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + s - 12, 0 = -3*c + 8*c + 5*s - 35. Suppose 43 = l + 5*x, -2 = 2*l - c*x - 58. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34591379.\nAnswer: 17, 23, 88469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*-3*(-16)\/(-48))\/((-156)\/6).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/3)\/u**4)**(-39))**(-10) assuming u is positive.\nAnswer: u**(-1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - 28)*41\/(-2). Suppose -m + 2 = -2. Suppose -5*j - h = -l, 0*j + j - m*h = 123. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n + 7. Let z be i(5). Let o be 2*9\/z - 1. Which is the nearest to -0.1?  (a) -5  (b) 0.05  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 8*b**2 - b - 31. Let r be q(7). Let w = 6 + r. What is the remainder when (65\/(-3))\/(1\/(-3)) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42850208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -355, -770, -1303, -2014, -2963, -4210, -5815, -7838?\n\"Answer: -10*t**3 + t**2 - 348*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 17*l + 5*l)*(-8*l**2 + 21 + 7*l**2 + 0*l**2).\nAnswer: -23*l**3 + 483*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020 (base 3) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -252, -3, 22, 1, -112, 3 in descending order.\nAnswer: 22, 3, 1, -3, -5, -112, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2773443 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -179 + 177. Let l be 468\/(-30) + 4\/(-10). Let k = 20 + l. Which is the third biggest value?  (a) -1  (b) v  (c) 2  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -226.3 + 227.3. Let s = 11 - 36. Let w = s - -11. Is g at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*s**6 + 27*s**2 + 6*s wrt s?\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -44985496 divided by -22504\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -0*l + l. Suppose l = 6*y - 7*y + p + 657, 0 = 3*y + 5*p - 2011. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j - 16*j + 0*j)*(j - j - j + (j + 0*j - 2*j)*(-4 - 2 + 4) + j - 1 + 1 + 0*j + 4*j - j).\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1)\/((-1)\/(-8))*2990\/(-104)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 4*b + 8, 3*x + 2*b + 24 = -2*b. Let w(a) = a**2 + 6*a + 8. Let q be w(x). Solve 2*v + 2*v - 16 = q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - 408\/(-24))*-22.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -2*k + 758*c - 763*c, 27 = -4*k + 7*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 18. What is j(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 265662 + 4667?\nAnswer: 272551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*c + 8 - 8 + (-4*c + 0*c + 5*c)*(-3 - 2 + 3))*(-3 + 3 + 3*c)*(c**2 + 2*c**2 + 0*c**2).\nAnswer: -225*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 210463165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -135  (b) -4  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1107 and 69879375.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -213397, -213392, -213387?\n\"Answer: 5*y - 213402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 123*z + 65. Let m be a(-5). Let h = -321 - m. What are the prime factors of h?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/18*(-15)\/10*-49492 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 21 = -67. Let l be y\/(-5)*(-30)\/(-4). Suppose -l + 29 = -2*o - 3*i, -86 = -5*o - i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + s = 35, -3*s - 13 = -2*k + 8. Suppose -k*z - 2 = -7*z. Let f be z\/(-2*(-2)\/4). Is -4\/11 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of 861*k**4\/4 + 1137*k - 3585. What is the derivative of y(b) wrt b?\nAnswer: 2583*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 258 (base 11) to base 8\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -169\/378 and -107\/252.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -821 + 4?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -267 + (3\/(-6))\/(3\/(-6)). Let f be s*(-3)\/199 + -4. Let y be ((2 - 4) + 1)\/(-1). Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2655, 4, 0 in increasing order.\nAnswer: 0, 4, 2655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1458369 to the power of 1\/2, to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s + 3*s - s + (0*s - 11*s + 2*s)*(-2 + 1 + 2) - 10 + 10 - 3*s + 3*s + 2*s - 4*s to the form v*s + a and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2011511 is divided by 304?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13745290 by -24.\nAnswer: -6872645\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 2.5. Let p(f) = f**2 + 8*f - 18. Let h be p(-9). Let g(o) = -6*o - 52. Let r be g(h). Which is the biggest value?  (a) -5\/4  (b) m  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -586955, -0.2, 0.4, 3 in descending order.\nAnswer: 3, 0.4, -0.2, -586955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -4*g + 5*g - 2*g. Let q(o) be the first derivative of o**3\/3 + 2*o**2 + 2. Let c be q(-5). Determine b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - -589075372?\nAnswer: 589075389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17099*x**2 + 7592*x**2 - 989*x**2 + 3053*x**2.\nAnswer: 26755*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - v = -6, -4*h + 7*h - 9 = 4*v. Let r(o) = 1 - 411*o + h + 420*o. Let q(p) = -4*p - 2. Determine 13*q(g) + 6*r(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 - 60\/(-6)) + -98. Let n = -92 - k. Solve -3*z + n*g - 3*g = -21, -5*g = -10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1530 and 340?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/8*((-4393)\/573)\/(2\/(-12)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 4 + 4)*(-4 + 4 - 2)*(4 - 2 + 1 + (-6 + 1 + 2)*(0 + 1 + 2))*(0*l**4 - 3*l**4 + 2*l**4 + (2 - 2 - l)*(-7*l**3 + l**3 - l**3)).\nAnswer: -144*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 13) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*b**3 - 7 + 9*b - 2*b**2 - 93*b**3 + b**4 + 30*b**3 + 14 + 27*b**3 in the form p*b + m + y*b**2 + d*b**3 + r*b**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8\/7 or 44792\/17?\nAnswer: 44792\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 85 times 51.9?\nAnswer: 4411.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**4\/4 - 655*i**3\/4 + 12871*i**2\/2 + 655*i - 25746 = 0. What is i?\nAnswer: -2, 2, 42, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - -67946?\nAnswer: 67950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 11:57 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3863852 to 3 dps.\nAnswer: -0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 4769, 0, -5, 37, 2 in increasing order.\nAnswer: -5, 0, 2, 37, 4769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (0 + -5 + 56 + -17 + -11).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -43 + 10 + -19 - -26\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, -4, -5 in descending order.\nAnswer: -4, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7951809 is divided by 7282.\nAnswer: 7147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (10 - 4) + -8 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 3 + 3 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 6*j**2 - 519*j + 41. Suppose 33 + 22 = c. What is the remainder when c is divided by g(-26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 3. Let g = 4 + y. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2. Let r(l) = -3*l - 2330. Determine r(u(c)).\nAnswer: -3*c**2 - 2330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50 + 43 + (-100)\/(-15) + 23\/78.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 9*g**3 - 399*g**2 + 5880*g - 28812 = 0.\nAnswer: 14, 49\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0*a)**1*(a\/((a\/(a\/a**(1\/3)))\/a*a))**(1\/24))**17 assuming a is positive.\nAnswer: a**(629\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43879 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383 is divided by 198.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, j: 1, b: 1, w: 1}. Give prob of picking 1 j and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*x + 10877 - 11357 = 0. Solve -5*h - 6 = 4*f + 9, 4*h + x = -4*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04 + 0.26. Let q = -12 - -12. Let s be -1 + (q - 1)*-2. What is the nearest to s in -0.5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2868, 2867, 2866, 2865?\n\"Answer: -y + 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, l: 3, n: 2, d: 4, a: 1}. Give prob of sequence lan.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 - 8*d - 22. Calculate the common denominator of 11\/3 and h(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/1 - 0)*(-126 - -5). Let n = 99 - v. What is the remainder when n is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 41*q**2 - 339*q + 245. Determine j(30).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -1, 1, -362498.\nAnswer: -362498, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1947216+1309268\nAnswer: 3256484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -427273 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 237*j + 68707. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/1*(-10)\/(-4). Let o(j) = 3*j**3 - j**2 - 4*j + 4. Let a be o(p). Differentiate a*r + 11 - 334*r + r**3 with respect to r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2. Let u(r) = 2*r. Let y(p) = -5*p + 4. Let k(d) = 4*u(d) - y(d). What is k(a(z))?\nAnswer: -13*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 566628*g + 213449?\nAnswer: 566628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1219 + 1185. What is the nearest to 2\/5 in 0.4, -3, 3, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*p - 2 = -2*i - 121*p, -2*p = 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 5 = -1, 0 = -2*o - 3*q + 203. Let b = o - 97. Suppose b*d = 0, 4*x - 3*x + d = 31. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 9:23 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.7 - 0.68. Let c = -2.02 + v. What is the nearest to 0 in c, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 6:19 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(11) + (sqrt(11) - -1*sqrt(11))*4.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*u**2 + u**2 + u**3 - 2*u**2 in the form h*u**3 + o*u + a + y*u**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (10\/15)\/((-2)\/(-264))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 5*g - 38, u - 5*g + 47 - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 35*v + 144. Let r be l(-32). Factor 16*u + r + 4\/3*u**2.\nAnswer: 4*(u + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 0.07  (b) -67  (c) -1\/6  (d) -1\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -27, -50, -73, -96, -119?\n\"Answer: -23*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.1819 - 5.2019. Let m = 0 + 0. What is the closest to d in -2, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 3 + 2 + (-6 + 3 + 1)*(1 - 1 - 2) + 0 - 7 + 0)*(6*c - 3*c - c) to t + y*c and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.65 and -0.069?\nAnswer: 0.04485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -5, -89, 1, 9 in decreasing order.\nAnswer: 9, 4, 1, -3, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) 0.163  (c) -2\/5  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1394472 and 1552?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-966)\/(-28497) + (-4)\/118. What is the closest to 1 in 8, 0.2, -0.07, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1777 + 447805\/252. Let o(v) be the second derivative of 0*v**6 + 1\/36*v**4 + 0 - 1\/12*v**3 + 1\/30*v**5 - 1\/6*v**2 + 16*v - p*v**7. Factor o(x).\nAnswer: -(x - 2)*(x - 1)*(x + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76967 and 56815.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 28.68 and 0.0138.\nAnswer: 0.395784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11608 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 8b6c (base 15) to base 2\nAnswer: 111001110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 398 + -583. Let l = -126 - f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -557*d + 126 = -566*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/(-11) + 4\/22. Solve 4*v - 2*i = -5 + u, 2*v + 12 = -4*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 169\/4560 and -26\/133?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 0.031.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -402900 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - ((-6)\/(-9) + (-98)\/3). What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 30\/(0 - -2) + -1. Suppose -2*f - 6 = -d. Let p = -1 - -2. Which is the closest to 0.1?  (a) p  (b) -0.5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 4*v**2 - 6*v - 3. Let n be w(-5). Let b be (-584)\/(-3) + -1 + 8\/6. Find the first derivative of 0*a**n + 189 - b - 10*a**2 wrt a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/5))**(-4)\/(k**(-3))**23 assuming k is positive.\nAnswer: k**(341\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 1243 = 3*t + 4*g, -5*t = 5*g + 2090. Round t to the nearest 10.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g. Let q(f) = 1789*f + 119. Calculate q(r(h)).\nAnswer: 3578*h + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 405, 784, 1079, 1248, 1249, 1040, 579, -176?\n\"Answer: -7*w**3 + 428*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23 + -13. Suppose 8*x = n*x - 8. Suppose -u = 3*d + x*u - 18910, -3*d + u = -18898. What is d rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 291 + -275. Suppose -y*t - 3120 = -64*t. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 8*t**3 - 276*t**2 + 1488*t - 2500. Let j(m) = -3*m**3 + 110*m**2 - 595*m + 1000. Let x(s) = -5*b(s) - 12*j(s). Factor x(y).\nAnswer: -4*(y - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 0, 1 in decreasing order.\nAnswer: 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22761464 and 1293265?\nAnswer: 113807320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*v**5 - 201*v**4 - 381*v**3 + 585*v**2 = 0. Calculate v.\nAnswer: -65, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(36)*-2)\/sqrt(3) - sqrt(18)\/(2*sqrt(12)\/sqrt(2) - sqrt(6))*-3)**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -110989\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = -0*k + k. Let c = -472\/5 - k. Let z(w) = w**2 - 7*w + 1. Let d be z(7). Is d <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -140*u + 6*u**5 - 14*u**5 - 8*u**2 + 140*u wrt u.\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-12)\/(-5))\/((-29990)\/6000 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 minus 381?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/12*3*(2 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 95, 4, -2, -54 in descending order.\nAnswer: 95, 4, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6339690 and 1044.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 4*k - 19, 5*k - 2*a - 3*a - 20 = 0. Let b be 3\/k + 27\/3. Suppose -o = -b + 7. Solve -7 = -2*f + f - 3*p, 10 = o*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10.5 + 54.5. Let n = 20 + 26. Let d = l - n. Which is the closest to 0?  (a) 3\/8  (b) d  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-128)\/20 + (-6)\/10. Let r(j) be the first derivative of -j**4\/4 - 8*j**3\/3 - 5*j**2\/2 - 6*j - 26. Calculate r(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of -11*j**4\/24 - 7*j**3\/3 - 27*j**2. What is the units digit of b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -1\/5, -2\/19, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 443432413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k, 1 v, and 1 y when four letters picked without replacement from vkovkvkvkvvvkvkkoykk?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 572592 + 243597 = 33*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 4.2. Let h be 87\/(-12) + (9 + 2 - 3). Let l = -0.29 - 0.01. Which is the nearest to l?  (a) n  (b) h  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + 3 + (-2)\/(-1). Let g = 5 - s. Let r = 0 + g. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.02  (b) -7  (c) 0.1  (d) -0.04  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - 1*sqrt(68)) + 3 + -2*-2*sqrt(68) + sqrt(68) + (2 + sqrt(68))*1 + sqrt(68)*-2 + 5)**2.\nAnswer: 160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 341 = -5*i, 3*i - 134 = i + 4*c. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.001, -0.2, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -70 - -217. Suppose -4*q + 3*q = f. Find the common denominator of (q\/15)\/(12\/(-5)) and -59\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 643590279 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/3)\/(z**(-32)*z)*z**29\/(z**18*z*z) assuming z is positive.\nAnswer: z**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6 and 7728.08?\nAnswer: 4636.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 114 in 2\/15, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 444759922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 1\/(-2))\/(9\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t + 9. Let i be w(-7). Find the first derivative of -z**2 - 3 + 2 - i wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(2\/(-32))*(-399)\/532?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 1 + 15 = 0, 3*r = 2*t + 4. Suppose 2*h + 5*x - 20 = 0, -r*x = -2*h - 20 + 4. Solve -2*v = -h*v - 10, 2*v - 16 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 - 30. Let g = -4.3 - -4.3. Which is the closest to -2?  (a) -0.1  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((3 + sqrt(99) - sqrt(99))*5 - sqrt(99)) + 1 + sqrt(99) + -3)*1)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -145005\/2 + 72503. Find g, given that 9\/2*g - h*g**2 + 5 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/84 and 55\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -131539982.1 rounded to the nearest 1000000?\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4126.22 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of m**4\/4 - 31*m**3\/6 - 13*m**2 + 201*m. What is i(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - (sqrt(12) + 1*-3*sqrt(12))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 e when four letters picked without replacement from {o: 5, b: 2, j: 2, q: 6, e: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n. Let l(s) = -1768 - 109*s**2 + 1770 + 37*s**2. Calculate w(l(t)).\nAnswer: -144*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -177 - -177.1. Which is the nearest to -0.1?  (a) r  (b) 0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) 5  (b) -1\/2  (c) 4  (d) 0.0143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (24 - 16) + (-28 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 5:13 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28 or -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20205286 and 1392?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.664 - -0.164. What is the smallest value in -0.4, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248997?\nAnswer: 3, 7, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 4:15 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + v + 1. Let o(i) be the first derivative of i**2 + 5. Let w(d) = -k(d) + o(d). Determine w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x**3 + 6*x - 6. Let h(g) = -9*g**3 + 2*g**2 - 10*g - g + 11 - 2*g**2. Suppose 3*s - 30 = k, -3*s + 2*s + 2*k = -5. Give s*p(o) + 6*h(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5*((-2)\/10)\/((-3)\/(-9)). Let f = 13 + m. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 4  (c) -4\/3  (d) -6  (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*j**2 + 21*j**2 - 7116 + 7116 + 17*j**3.\nAnswer: 17*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1650*w**2 + 221101*w\/2 - 67\/2 = 0 for w.\nAnswer: 1\/3300, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -5  (b) -3  (c) -3612  (d) -3\/20  (e) 1\/2  (f) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/4 + 3)*-1. Does y = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1974642 is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-14)\/(-18) + (-4)\/(-18). Let a be (-1)\/8*-10*4. Sort a, m, -6 in descending order.\nAnswer: a, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20899694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 19, -4, 525, 0.\nAnswer: -5, -4, 0, 4, 19, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 7:23 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -19449888?\nAnswer: -1\/9724944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 1 - (10 + (-17 - -13))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -3509*y**5\/5 - 2*y**3\/3 - 2715*y + 4621. What is the derivative of s(u) wrt u?\nAnswer: -14036*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.99 - -2.0243. Round a to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 1) + (-2 - -1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**(-2))*f**3)**(-4) assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 4. Let c be w(-2). Let x(f) = f - 3*f + 1 + f**2 - f**c - 2*f**2. Calculate x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {c: 1, v: 2, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 114?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -6. Suppose 0 = m*z - 14 - 151. Let q = -455 - -459. Calculate the remainder when z is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1924*-0.036.\nAnswer: -69.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 1 - -9)\/((-9)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 4*c**2 + 4. Let t be w(-4). Let i(f) = -t*f + 0*f + 0*f. Let h(o) be the second derivative of -2*o**3\/3 + o. Determine h(i(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/((-248)\/31*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/9  (b) 0.2  (c) 5  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13023197*4.\nAnswer: -52092788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 3, 7\/6, 11.7, 134?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2) + 132\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*v + 60993 = 118*v. What is the remainder when v is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 3*p = -5*l + 6, -p + 2 = 0. Let u(n) = -n**3 - n**2 - n - 4. Let w be u(l). Let f = w + 73. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-121765)\/(-14) - 5) + ((-18)\/12)\/(-1).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 - 4 - (0 - 2). Let g be (-5)\/(-2) - (-3)\/6. Suppose g*q = -12, -3*x + 5*q = -20 - 3. Is x <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - -4*(-1)\/2. Let p(l) be the third derivative of l**6\/10 - l**4\/24 + 8*l**2. Does 11 divide p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 2 - (-11)\/(792\/2520).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3326 - 3310. Solve 4*f + 2*w - v = 0, 20 = 8*f - 3*f - 3*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 49644 and 5.\nAnswer: 248220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (658\/329)\/((-2)\/(-7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -733 = -6*f - 721 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/48 + 227\/(-3). Suppose 0*c + 293 = -4*c - 3*m, -5*c - 361 = 2*m. Let j = c - h. Solve -j*f - 27 = 3*a, 3*f + 3*a + 0 = -21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1277 + 1277 + 48*b**3 + (2*b**2 - 2*b**2 + 3*b**2)*(0*b + 2*b + 0*b).\nAnswer: 54*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25229*q**4 - 12152*q**2?\nAnswer: -605496*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + -4 + 27 + -7 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-240)\/300)\/((-58)\/(-5))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000111 + -101010001100110100100?\nAnswer: -101010001100111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s + 1. Let o(p) = -26*p**2 + p + 3. Let b(c) = o(c) - 2*r(c). Let j = 1791 + -1790. What is b(j)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + k - 6. Let s be p(5). Let z be -4 + s\/(-20)*-2. Let d = z + 78\/55. What is the nearest to -1 in d, -6, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2 + (2 - 3)*-18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1846+0.0606\nAnswer: -1845.9394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*m - 76*m - 7 + 7.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2508\/(-17556) - (-885)\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 11 + 1. Let w(z) = z**3 - 3*z**2 - 3*z + 4. Determine w(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + k + 11, -2*k - 10 = 2*x + 2*x. Let v be (-5 - x)*(-3)\/6. Is 1\/5 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 5*w = 264, 9 = 2*w + 1. Suppose 5*u - d = 14. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003929 to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 (base 10) in base 3?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {v: 4, y: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -33. Let d = 59 + b. Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2579 + 219. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/418 and 137\/1254?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 3, -16\/17, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276 = 4*k - 5*d, -k + 210 = 2*k - 3*d. Suppose -3*v + 15 = 2*v. Suppose -5*o - k = -2*y, y - 38 = -0*y + v*o. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + 9 - (-2 - -1). Suppose 2*h - b = 6*h + v, -h = -2*b - 6. Let q(t) = t**3 + 3*t**2 - 2*t - 2. What is the units digit of q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/(-72) + 271\/(-6). Let i = h - -45. Suppose 4*n - 22 + 2 = i. Solve -10 = n*u - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 108906 and 8841.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -19691*p - 1339125. What is j(-68)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 436 divide 16234937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {s: 4, h: 8, x: 1}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (80\/(-50))\/(2\/25). Let v = 5 - x. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5682*f**5 + 6470*f + 4.\nAnswer: 113640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -160, -361, -642, -1003, -1444, -1965?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 6*j**2. Let k be c(-6). Suppose 6*r + 3 + 3 = k. Let f(z) = -2*z**2 - 3*z + 1. Let b be f(4). What is the closest to -0.1 in r, 4, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.1 - 2.9. Let p = f + 3.9. What is the smallest value in -0.2, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29767449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 828509?\nAnswer: 11, 109, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1387125 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*u + 6*u + 0*u + 18*u in the form x*u + a and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31 - -48. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/84*9\/6 - -18*7248\/12096?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17414 = -697*h - 123*h + 66614 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**4 - 2800*j**3 + 14034*j**2 - 22472*j + 11240 = 0. Calculate j.\nAnswer: -1405, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -64, 1, 5, -1, 0.00829 in descending order.\nAnswer: 5, 1, 0.00829, -0.5, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 200\/(-2)*(-9)\/(-12). Let f = 22 - r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2003252451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23213 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10254*i = -10255*i + 5*z + 2, 11*z = 11 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1380*h**4*i**3*l - 2*h**4*l - h*i**2 - 7*h*i*l + 2*h*l - 5*i**3*l - 3*i*l wrt h.\nAnswer: -16560*h**2*i**3*l - 24*h**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25*m**3*r - 28*m**3 - 29*m**2*r - 29*m*r - 2*m - 2*r - 1650 wrt m.\nAnswer: -150*m*r - 168*m - 58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 2 q when four letters picked without replacement from {q: 4, i: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1028 divided by -8185.\nAnswer: 1028\/8185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**3 + 2*r**3 - 3*r**3)*(-56 - 28 + 5).\nAnswer: -237*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 1. Let l be w(0). Let u be l\/(165\/84 - 2). Let c be (-17)\/36 - 7\/u. What is the smallest value in c, 7, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + 6*((sqrt(110) + (sqrt(110) + 2*1*sqrt(110) - sqrt(110)) + sqrt(110))\/((sqrt(60) - sqrt(540))\/sqrt(6)) + 1)*-1).\nAnswer: -42 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59736, -119536, -179346, -239172, -299020, -358896, -418806?\nAnswer: -478756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 244448 and 1.\nAnswer: 244449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) - -4*2*sqrt(85)) - sqrt(85)) + -4*sqrt(85)*-2)\/((-6*4*sqrt(55))\/sqrt(11)).\nAnswer: -17*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10695474 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -37 + 96. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 66705206?\nAnswer: 66705206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 77 - 34 = 5*l, -171*l - 1124*p + 2246*p = 1127*p - 723 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -12*y**2 + 47*y - 52. Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9)\/(1*(-1)\/3). Let q = g - 31. Is 1085\/40*-2*q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1425136 (base 8) to base 2.\nAnswer: -1100010101001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -8. Let o = -1 + n. Let d = -2885\/3 - -963. Which is the third biggest value?  (a) d  (b) o  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -5*d + 8*d + 2*b, d + b = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**4*f*f**(4\/11)*f*f**(3\/4)*f*f*f*f*f\/f**(-7) assuming f is positive.\nAnswer: f**(841\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 107.63 - 107.63. Which is the nearest to s?  (a) -6\/11  (b) 8\/17  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 33*p + 13. Let s(t) = -8*t - 3. Let g(i) = d(i) + 2*s(i). Calculate g(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in eleven quarters of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1581, -3166, -4751?\nAnswer: -6336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 925967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(9\/((-54)\/120)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5683545?\nAnswer: 3, 5, 7, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 3*w, -b - 4*w + w = -16. Let s be 2852\/(-44) - b\/22. Let g be s\/39 + (-7)\/3 + 1. Let l(h) = 8*h. Let x(v) = 23*v. Give g*x(j) + 8*l(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 17*v**2 - 14*v - 29. Let w be i(16). Suppose -w*d - 430 = -19. Let q = -26 - d. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bppppbpvpxpjb. What is prob of sequence vbbj?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 446 - 402. Find the first derivative of -47*x - y*x + 2 + 16 + 74*x wrt x.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4 and -15913168034376.\nAnswer: -15913168034380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 3*p**3 + 1950*p**2 + 310275*p + 14553000 = 0.\nAnswer: -440, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x = -24*x + 3*l + 15, l = -2*x - 5. Factor x + j + 1\/3*j**2.\nAnswer: j*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (50\/12)\/(29\/7482). Suppose 6*k - 11521 = -r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6988\/8733 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**31\/((h\/(h**(11\/5)\/h))\/h)*(h**(-40)*h)\/(h\/((h**42*h)\/h*h)*h*h*h*h) assuming h is positive.\nAnswer: h**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 5770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 8 = -2*r, -21 = -5*m - 0*r - 3*r. Solve 0 = -i - m - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**3 - 2*i - 6*i + 4*i + 4*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116842 and 1582.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10357*s = 12653*s - 14127 + 351 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 64959 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 6*i**4 + 7*i**2 - 1732*i + 12. Let u(f) = 4*f**4 + 5*f**2 - 1155*f + 6. Let m(n) = 5*l(n) - 7*u(n). What is the derivative of m(z) wrt z?\nAnswer: 8*z**3 - 575","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-146)\/292*(-2)\/97. Suppose -6*x = 5*d - 2*x + 25, 5 = -x. Which is greater: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s**2 + 3*s**2 - 2*s**2 + (3 - 3 + 2*s)*(-3*s + 3*s - 2*s) - 5*s**2 + 3*s**2 + 4*s**2)*(-4*s - 9*s + 3*s) to f*s + z + i*s**3 + u*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-35)\/11 - (-10)\/55. Let b = -1 - k. Suppose 5*m + 4*y = 27, -b*y + 18 = 2*m + 6. Sort 1, 4, m in ascending order.\nAnswer: 1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from zzililiililliiilli.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-10)\/60)\/(6\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 40193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.462 + -1.462. Let w = 4 + -3.4. Let u = 0.3 - w. Which is the nearest to 1?  (a) u  (b) 4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**5\/(m*m**(-1\/4))*m**(1\/4)*m*m**(-2\/19) assuming m is positive.\nAnswer: m**(205\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -86 times -0.09312\nAnswer: 8.00832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-9)\/(2376\/(-143)))\/(1\/(-4)). Suppose 0 = 3*y + 5 + 4. Is a smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (20\/(-24) + -6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.2 - 3.8. Let g = 12 + w. What is the nearest to -1 in -4, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4 - 8*c**3 - 8*c**4 + 4*c**4 + 2*c + 6*c.\nAnswer: -4*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.058*-11004\nAnswer: -638.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 318 divide 1204670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 516972120.\nAnswer: 2, 3, 5, 7, 31, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 589.719 + -320.832. Let c = a + -269. What is c rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 > -14892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 5*r. Let a be q(-5). What is the units digit of 2 - (-2 + a) - -81?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (-3 + 2)) + (21 - 31) + 4 + 129.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2931749?\nAnswer: 89, 32941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**2 + 31*p - 118. Let o be t(8). Let z be ((-630)\/(-140))\/(1\/o). Solve -z*j = -4*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18494 or 13199?\nAnswer: 18494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 22 = 4*o. Let m be o\/6 + 1*4. Suppose m*d = 2*d. Solve d*a = -a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111001110000100101000 (base 2) in base 16?\nAnswer: 1ce128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011010001011 (base 2) to base 16.\nAnswer: -268b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 10*s + 83. Suppose -47*r + 50*r = -21. Let x be i(r). Let d be (-1 - 2)\/(4 - 3). Put 0, -5, d, x in increasing order.\nAnswer: -5, d, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, s: 3, m: 1}. Give prob of picking 3 u and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/19 - 382*a**2\/19 + 3638*a\/19 - 3258\/19.\nAnswer: 2*(a - 181)*(a - 9)*(a - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 273827 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -128\nAnswer: 5\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11708 + -17398. Round i to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13546, -22869, -32192?\nAnswer: -41515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 127039114 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -74 - 24. Let i = -47 - l. Suppose -p + r + 51 = 0, p - i = -r - 0*r. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 r when four letters picked without replacement from {b: 2, r: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 32, 3\/4, -4\/17, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2628000 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 168106.\nAnswer: 2, 84053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - -29. Let k = -46 + n. Let y be -16 - -14 - (k\/(-2) - -1). What is the nearest to 3\/5 in -2, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.5*-1.441.\nAnswer: 2.1615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s**(2\/17)*s))\/(s*s**(2\/71)) assuming s is positive.\nAnswer: s**(-176\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13141?\nAnswer: 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -98*n**2 + 31*n**2 + 36*n**2 + 33*n**2 - 4 + 17. Let c(d) = 3*d. Calculate m(c(p)).\nAnswer: 18*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1981158*f**5 + 2*f**4 - 2*f**3 + 47830*f**2 + 215 wrt f.\nAnswer: 118869480*f**2 + 48*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k - 1. Let j(v) = -31*v - 52. Let w(h) = -9*h - 16. Let i(r) = -3*j(r) + 10*w(r). Determine i(y) + 2*t(y).\nAnswer: y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13 - -4244?\nAnswer: 4257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from utuiiaaaiaau?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**2 + 2*s - 14 - 40 + 18 + 12*s**2 as n*s**2 + l*s + k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 1 + 11 = 0. Is m\/(-10) - 364\/(-10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1374755239.\nAnswer: 11, 13, 37, 259829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, c: 2, r: 5, f: 2, d: 5, j: 1}. Give prob of picking 1 d, 2 c, and 1 r.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/7  (b) 12\/83  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 3:00 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - i**2 + 4. Let y be a(0). Suppose y*w - 2243 + 379 = 0. Suppose -2*n + 4*n = w. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iujstttjbbbs. What is prob of sequence bj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 5*w - 29, 4*w + 4*y - 5*y = 22. Solve -k = -2*d - 0 - 4, 5 = -w*d + 5*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503442 (base 6) in base 9?\nAnswer: 60408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -9*t - 10. Let p(x) = -4*x - 6. Suppose 0 = -4*c + 12*c - 24. Let l(o) = c*j(o) - 5*p(o). Let g(d) = -3*d - 251 + 251. What is g(l(m))?\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 1130 divide 199330084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6148400469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-1 - -3) + -2. Let h(w) = 8*w. List the prime factors of h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 10*m**2. Let f = -69 + 157. Let w(t) = f - 88 + 3*t**2. What is -5*n(l) + 16*w(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 43  (b) 3\/8  (c) -0.3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 8:58 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270) + sqrt(270)*2 + sqrt(270) + sqrt(270) + sqrt(270))\/sqrt(6))**2 + (-6*sqrt(60)\/(sqrt(12) - (sqrt(12) - sqrt(12)*2)))**2.\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + h + 3 = 0, h = 4*g - 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1525?\nAnswer: -1\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4709429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6317594029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -832 (base 9) in base 15?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o**3 + 9*o**3 - 6*o**3 - 3*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9733*a**4 + 3*a**2*x + 175622*x wrt a.\nAnswer: -38932*a**3 + 6*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -20232 (base 5) in base 15?\nAnswer: -5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of -l**7\/84 - 2*l**6\/45 - l**5\/60 + l**4\/6 + 2*l**3\/3 - 2. Let n(g) be the third derivative of p(g). Factor n(k).\nAnswer: -2*(k + 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -0.152421?\nAnswer: 0.0762105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 13 = s, 4 = 6*s - 2*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 85, 160, 229, 292?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.8 - 4. Let m be 4\/(-8) + (-2)\/20. Which is the biggest value?  (a) u  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -7*v + 1. Suppose -4 = -0*b + 2*b, 4 = 2*r + 3*b. Let x(q) = q + 3. Let h(o) = o + 5. Let z(i) = r*x(i) - 3*h(i). What is m(z(f))?\nAnswer: -14*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x = -21 + 41. Sort 12, -3, x, -5 in increasing order.\nAnswer: -5, -3, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 3*y + 29, -1 = -0*y + 2*y + x. Let l(c) = -c**2 - 5*c - 4. Calculate l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2925)\/2275*((-294)\/(-558))\/7?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*c**3 + 18 + 61 - 2*c + 9*c**2 - 77 to p*c**2 + r*c**3 + o + k*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3308 - 3302. Let i(q) be the second derivative of b*q + 0*q**2 + 0 + 10\/3*q**3. Let a(l) = 2*l. Give a(i(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1 + sqrt(176) - (-1 + sqrt(176) + 3) - (6*sqrt(176)*-3 - sqrt(176))**2*1.\nAnswer: -63539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 47486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/((726\/(-11))\/22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2046183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o - 2*o - o. Let n(g) be the first derivative of g**4\/12 - 4*g - 5. Let c(a) be the first derivative of n(a). Determine p(c(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 354456159?\nAnswer: 3, 383, 308491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*k - 5*k + 6*k)*(-6*k**2 + 2*k**2 + 2*k**2 + 2*k**3) - 40*k**4 + 70*k**4 + 348*k**4 as u*k + b + v*k**2 + y*k**4 + i*k**3 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -41 + 3328?\nAnswer: 32b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -82*b - 12761. Give f(-152).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of 21*j**6 - j**4\/6 + j**3\/2 - 443*j**2\/2 - 813*j + 2. Find the second derivative of p(q) wrt q.\nAnswer: 7560*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8\/3425 + 4428581\/23975. Let w = c - 185. Let d = -13 + 14. Is d >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 times -342.7\nAnswer: -29472.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 14146, 28374, 42734, 57292, 72114, 87266?\n\"Answer: 11*m**3 + 14151*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1044\/232*(-80)\/(-450)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 8 - 8)*(2 - 2*m - 2 + (2 + 1 - 6)*(-1 + 1 + m)) - 10*m**2 + 14*m**2 + 26*m**2.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*p - 17424 = -346*p + 82*p for p.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14851, -29700, -44549, -59398?\nAnswer: -74247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n + 4*n = -81. Let z(t) = 3*t**2 + 26. Let r be z(n). Suppose -4*m + 12 = 0, -r + 1027 = 4*j - 2*m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 52105.1347889461 + 0.6650410539. Let o = x - 52109. Let s = o - -3.2. What is s rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) - (2 + -2*sqrt(2))**2 - (-3 + 0 + sqrt(2)).\nAnswer: -9 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9550, 82965, 282212, 670207, 1309866, 2264105?\nAnswer: 3595840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - s - 19 = -73, 0 = 5*d - 5*s - 270. Let n = d + -25. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 2. Let z be -1 + (-3)\/n - -6. Suppose k - 5*k + z = 0. Solve -s + k*s = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103 < 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15358\/27 - -569. Let q = 533 + -317. Calculate the common denominator of -2 - 690\/q*2 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -414254*h*u + 312434*u wrt h?\nAnswer: -414254*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**5 - 28875*a**4 - a**3 - a + 145616 wrt a?\nAnswer: -40*a**3 - 346500*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d - 28*d + d + 28*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 199*j - 10608. Calculate y(53).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 + 8*a + 12. Let c be d(-8). Let h(q) = 19*q - 28. Let v(o) = -1. Let p(r) = h(r) - 5*v(r). Is p(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/9 and 41\/3096744.\nAnswer: 9290232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(2\/5))\/((t\/(t*t**(1\/4)))\/t))\/((t\/(t**1*t*t*t))\/t*(t*t*(t\/((t\/(t\/(t\/((t\/(t*t**(1\/7)))\/t*t))))\/t))\/t*t)\/t) assuming t is positive.\nAnswer: t**(811\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38819 and 129382?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l. Let r(d) be the first derivative of d**2 - 14083. Suppose -3*j = 0, 16 - 46 = 5*c + 2*j. Give c*r(b) + 4*a(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 55 = -8*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98)*2 + -1)*6)**2.\nAnswer: -1008*sqrt(2) + 14148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - -5*sqrt(99)*2) + sqrt(99))\/(sqrt(9) - (-1*sqrt(1089) + sqrt(1089))) - (sqrt(11) + 3 + 2 - -4*(sqrt(11) + -2)))**2*-5.\nAnswer: -3565 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 82 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5403 and -0.20815.\nAnswer: 5402.79185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12764 - -12977. Calculate the highest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136921 is divided by 44517.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 14*f. Let n be v(4). Let k = 9 + -5. Suppose -k*h + 32 = -n. Solve 0 = 5*i + 4*j + 25, -i = i + 4*j + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35 + -33. What is the closest to -2 in 4, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2752760 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3\/10, 0.1, 1, 11, -1, 5\/3, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -383009, -382667, -382325, -381983?\nAnswer: -381641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 7*z - 56. Solve z = 3*a + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - -159521134014.\nAnswer: 159521134000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - -2dba44?\nAnswer: 2dba43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 72\/(-14)*(-5292)\/(-1008)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 4:04 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 10\/13, 89, 34\/5, 2\/9, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 18680 to the nearest one hundred.\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 52, -1, 2, 1 in increasing order.\nAnswer: -5, -1, 1, 2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttwcjtjtwwcct. Give prob of picking 2 j and 2 t.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -602.4 - -677. Let n = 74.9 - j. What is the fourth smallest value in n, -1\/2, -2\/11, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28935380 and 14.\nAnswer: 202547660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2369648747 to the power of 1\/2, to the nearest integer?\nAnswer: 48679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-113 - -230) + -76 + -5 + (0 - (-2 - 0)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 1:27 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8 - 0) + (-8)\/1 + 15. Calculate the greatest common divisor of 3600 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-396)\/(-1296)*42\/44. Let l(r) be the third derivative of 0*r - 7\/2*r**3 - m*r**4 - 18*r**2 + 0. What is the first derivative of l(x) wrt x?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-30)\/2 - (-7809)\/513. What is the second biggest value in 0.1, 2, 5, 1\/4, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 845, 3636, 8267, 14720, 22977, 33020, 44831, 58392?\n\"Answer: -3*x**3 + 938*x**2 - 2*x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n + 43*n**2 + 43*n**2 + 50*n**2 - 137*n**2.\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3 = 2. Let z(r) = -r - 2. Let h be z(u). Solve -m = 1 + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 5*i + 100, -3*h - 4*i = 2*h - 127. What is the remainder when 182 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/7 + 50802*f - 711236\/7.\nAnswer: 2*(f - 2)*(f + 177809)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Round 16410.5474 to the nearest one hundred.\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/9526 and -67\/8.\nAnswer: 38104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -6*x - 7. Let p(k) = 3*k - 1. Let t be (-2)\/5 - 270\/(-50). What is the remainder when b(-8) is divided by p(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20430.\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*(4 - 4 - 2*m + 2*m + 0 + 0 - m + m - m + 3*m - 2*m + 0*m + (2*m - 3*m + 3*m)*(0 + 0 + 2) + 4*m + 3*m - 5*m + (-6 + 6 + 16*m)*(-2 + 2 - 4)).\nAnswer: -58*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/175 in -0.08, 1, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(5) + 1 + -3).\nAnswer: -3*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98 + (57 - 178) + (1 - -71).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*w + 5160 = 102*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 65319972 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-90) - (-505)\/7575) + (-169)\/(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2009285.73 seconds to days.\nAnswer: 23.255621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from onoooooo?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19872776.\nAnswer: 2, 7, 11, 32261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -834 + 2146. Let p = w - -56. What is p rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27 - -52. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(6)\/sqrt(2)))**2 + sqrt(28)\/(sqrt(12)\/sqrt(3)).\nAnswer: sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7164103721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 3:49 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 472 and 592768.\nAnswer: 34973312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (((-576)\/(-20))\/(-8))\/((-9)\/(-210)). Do -80 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-9))**5*(m**12)**(-29))**26 assuming m is positive.\nAnswer: m**(-10218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 0)*(3*y - 37*y + 180*y).\nAnswer: -730*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 26383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**4 + 4495*b**3 + 5207252*b**2 + 348301520*b + 998160576.\nAnswer: (b + 3)*(b + 68)*(b + 2212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -10293, -6, 1, 9 in decreasing order.\nAnswer: 9, 2, 1, -6, -10293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -218, 3, -5, 5 in decreasing order.\nAnswer: 5, 3, 1, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1515930007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -29*s**2. Let m(x) = 97*x**2. Give q(m(f)).\nAnswer: -272861*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1350047, -1350097, -1350147, -1350197?\nAnswer: -1350247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1739116 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -2*b + 6, b = -3*q + 15 + 4. Suppose 12*w + b*w = 105583. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29.89256829 - 9.\nAnswer: -38.89256829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*i - 2*y - 0*y, -2*i + 3*y = -16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 286 and 6368582?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of (-160)\/(-1360) - (-3806)\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 43, -4, -5, -3 in increasing order.\nAnswer: -5, -4, -3, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) 159  (c) 4\/235  (d) -0.1  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -184 + 183. Which is the closest to -0.09?  (a) 4  (b) q  (c) 1  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + -2 - 7) + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 39 - a6?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 482.2476 millennia to decades.\nAnswer: 48224.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2778)\/(-26) + (248\/6851 - (40\/(-68))\/5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of q**5\/20 - 2*q**4\/3 + 5*q**3\/3 - 7*q**2\/2 - q. Let x be j(6). Let p = 34 + x. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3*u**2 - 1)*(3 - 3 + 2*u**2) + 315*u**3 - 2682*u**4 - 315*u**3 as j*u**2 + t*u**4 + f + c*u + x*u**3 and give t.\nAnswer: -2676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -1 - 5*d - 2*d**3 + 6*d - 4. Let s(g) = 17 - 23 + 0*g**3 - 621*g + 623*g - 2*g**3. Determine 5*h(m) - 4*s(m).\nAnswer: -2*m**3 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -22, 43 in descending order.\nAnswer: 43, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1+-26894806\nAnswer: -26894805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*l = -1517 - 765, 0 = a - l - 570. Let h(t) = -a + 3*t**2 + 572. Let b(j) = 22*j. What is b(h(g))?\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3925474 and 57113.\nAnswer: 160944434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (115\/20)\/((-6)\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -165765 - 2*x**2 - 1093*x + 165765 + (-5*x**2 + 0*x**2 + 3*x**2)*(-3 - 1 + 2) in the form a*x**2 + u*x + b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 - 1 + 2)*(8 - 3 - 1) - 17 - 38 + 20)*(4 + 2*i**4 - 4) in the form g*i**3 + v + k*i**2 + x*i + w*i**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*b + 6 = 2*o, -2*o + b = -9. Suppose -o*d + 79 = 5*f - 141, 4*f + 5*d = 159. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p + 44. Let l be r(25). Let x(n) = -n**3 + 9*n**2 + 3*n - 1. Let v(u) = 2*u**3 - 10*u**2 - 2*u + 1. Let c(f) = -2*v(f) - 3*x(f). What is c(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 + 18*n - 14. Let h be a(13). What is the greatest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4172*b + 860*b - 280079 = 92289 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0907 + 0.5607. Which is the closest to -1\/3?  (a) 1  (b) 0.1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) -7  (c) 1\/8  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -1102?\nAnswer: -1\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 333 and 601.\nAnswer: 200133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1620 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -1\/2*x**3 - 11*x**2 + 0*x + 0 + 1\/12*x**4. Give o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -834, -462, 164, 1044, 2178?\n\"Answer: 127*h**2 - 9*h - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 349 + -2447\/7. Let c = 0.03 + 3.97. Sort -4, c, a in increasing order.\nAnswer: -4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-14) + (-5)\/(70\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 3357562?\nAnswer: -1\/1678781","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: 0.01531+-129.8\nAnswer: -129.78469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-20)\/(-4))\/(27\/108). Solve -4*w + 3*u = 1, 10*u = 6*u - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 232 - 228. Solve 5*w = k*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 253 divide 626169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 4) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from odoooocdd. What is prob of sequence cod?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 15) to base 6\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b*b**(-1)))\/b**4)**(8\/3) assuming b is positive.\nAnswer: b**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + 4. Calculate the remainder when z is divided by (5\/10)\/((-1)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1364, 1365, 1366?\n\"Answer: z + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 23, 171, 577, 1367, 2667?\n\"Answer: 21*o**3 + 3*o**2 - 8*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 1:59 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 132 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12441012 + -125?\nAnswer: 12440443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j**4\/3 - 94*j**3\/3 + 124*j**2\/3 - 14*j\/3 = 0. What is j?\nAnswer: -7, 0, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmtttttttmm. Give prob of picking 3 t.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -12. Suppose -g + m*g = 21. Suppose 5*v + 5*b = 70, 5*b + g = 4*v - 4. What is the least common multiple of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4261, 6105, 7947, 9787, 11625, 13461?\n\"Answer: -m**2 + 1847*m + 2415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/29)*a\/a**1*a)**(2\/23) assuming a is positive.\nAnswer: a**(54\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*14\/(-6804)*27?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - (-8 + 0))*-1. Let s be (56\/k)\/2*(-960)\/560. Solve 2*q + s + 2 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 32349, 32339, 32317, 32277, 32213, 32119, 31989, 31817?\n\"Answer: -i**3 - 3*i + 32353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 44376?\nAnswer: -44375.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 - ((10 - 18) + 32 + 18)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 3*r + 11 = 0, -z + 3 = -6*z - 4*r. Let u be (9 - (z - 1))*1\/3. Suppose -5 = 3*t - 3*a - 176, -3*a - u = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 12:35 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 350147069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**2\/8 + 67*m\/4 - 31611\/8 = 0.\nAnswer: -257, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 153226558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 76 = 4*z + 4*y, 3*z - 5*y - 57 = 0. What is the second derivative of -8*m**2 + 37*m + z*m**2 - 3*m**5 - 48*m + 5*m**5 wrt m?\nAnswer: 40*m**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51560 + 110856. Does 218 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, c: 4, z: 10}. Give prob of picking 1 o and 2 z.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1641, -2454, -3267?\n\"Answer: -813*b - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 31*n - 21. Let y = -4.3 + 4. Which is the second biggest value?  (a) -3  (b) n  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 146 + -77. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - 0) + -8 + -1. Let v be (-14)\/(-4) + u\/10. Solve -v*y - 2 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 93 + -59. Let k(o) be the first derivative of o**4\/4 - 2*o**3 + o**2 + 2*o + 2. Let p be k(6). Solve 4*h + 20 = -2*a, 4*h + a - p = -b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 9:39 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4134, 3847, 3370, 2703, 1846?\n\"Answer: -95*b**2 - 2*b + 4231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - 2*x + 3. Suppose -6*o + 19 - 7 = 0. Let a be p(o). Let z(b) = b**3 + 5*b**2 + b + 3. What is z(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 100*h - 366*h = 236*h + 502 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -249*k + 2600047 = -8859182. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -5*r**2 - 56*r + 7. Let z be l(-17). Let m = z - -488. Solve -6*s = -m*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 27645666 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 0. Let g(z) = -5*z. Let b be g(1). What is the closest to l in b, 0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -3. Let d(g) = g**2 - 3*g + 2. Let s be d(3). What is the third biggest value in t, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18\/5 in 290, 0.3, 0.1, 0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - (-287)\/(-70)) + 8404\/40 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 240937*j - 38*j**3 + 36*j**3 + 91989*j.\nAnswer: -2*j**3 + 332926*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*s - 40*s = 4158. Let b = s + -2072\/3. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -9. Suppose 3*p + 15 = 0, 4*m - r*p = -p + 54. Let l be (3 - (m - 2)) + 2. Let s(g) = g**3 + 3*g**2 + 3. Determine s(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -7*u**2 + 35*u + 28. Let s(a) = -3*a**2 + 17*a + 14. Let d(w) = -4*n(w) + 9*s(w). Suppose 48 = -0*r - 4*r. Let c be d(r). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 56*p + 538 - 2050 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1527276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 1, -0.4, 4\/7, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1707*i + 26352 = -1221*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 353 + m**3 + 359 - 1074 + 14*m**4 - 27*m + 361 as j*m**2 + l*m**4 + a + s*m**3 + x*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 13. Let k(p) = 2*p - 11. Let g be k(d). Suppose 0 = 2*o - g*o + 5, -3*c + 8 = -2*o. What is the smallest common multiple of 41 and c?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 12) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33*b + 22 - 22 + 0 + b + 0 + (-4 + 4 + 2)*(1 - 1 + b) + 5*b - 3*b - b.\nAnswer: 37*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.2635 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3347.777 decades?\nAnswer: 33477.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + c**2 + 1. Let f(b) = 5*b**3 - 2*b**2 - 10. Let o(a) = -f(a) - 6*x(a). Let r be o(4). Solve -k - g + 3 = 0, 3*k = -r*g + 5 + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279438?\nAnswer: 2, 3, 46573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53429989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -11*m**2 + 16*m + 5. Let d(v) = -v**2. Let s(a) = -6*d(a) + p(a). Let t(f) = f**2 - 3*f - 1. Determine 2*s(b) + 11*t(b).\nAnswer: b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ztkdozzjzjtozzzzzkz. Give prob of picking 1 t, 1 o, and 1 d.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 17*k + 4 - 2)*((-3 + 3 + 2*k)*(-3 + 4 - 2) - k + 0 + 0) + (468 - 468 + 4*k)*(-4*k - 2*k + 4*k).\nAnswer: -62*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/5 + (-306)\/(-15). Let s = 31 - z. Suppose 126 = 3*a - 2*t, 0*a = -5*a + t + 210. Calculate the remainder when a is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 587*p**5\/5 - 2*p**3 + 19*p - 719. What is the third derivative of h(b) wrt b?\nAnswer: 14088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 243, -3, 2\/7, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**3 + 12*u**2 + 34. Let z be m(-8). Does z = -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 5*g = -196. Solve g = -5*l - 3*h, -2 - 11 = 2*l + 3*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46240*k + 1695 = -46127*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 402664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -123*n - 18 - 79*n**4 + 63*n + 60*n wrt n?\nAnswer: -316*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 2 + (7 - 1) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*o + 426 = 43*o. Let s = o - 72. Let l(g) = 9*g. Calculate l(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201 + 12121110200?\nAnswer: 12121102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 82775862 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 833.314 millennia in years?\nAnswer: 833314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0\/3)\/(3 - 5). Solve 2*q = -3*d + 9, x*q - 3*q + d = 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/278 and -25.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -29*r**4\/12 - 5*r + 206. Let u(q) = 39*q. Calculate b(u(p)).\nAnswer: -44109*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 3*g = 117, -146 = -4*m - m - 2*g. Calculate the lowest common multiple of 740 and m.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {b: 3, l: 3, j: 5, s: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = f - 1, 2*f + 10 = -3*f. Suppose -4*h + 67 - 51 = 0. Let s be h\/w + -2 + 0. Solve -3*a + 3*q + 4 = 4*q, 5*a = 3*q + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 10*j**3 - 189*j**2 - 14*j - 90. Let k be z(19). Let y(a) = -3*a + 122. Let v(u) = u - 61. Determine k*v(f) + 2*y(f).\nAnswer: -f - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1022\/13 + 12953\/156. Find the common denominator of 39\/10 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -3*u - 15 + 5, 5*u + 4*f + 8 = 0. Suppose u = -3*n - 91 + 97. Solve n*s - s = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/4 and 57\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -346769 divided by 19.\nAnswer: -18251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 11*r + 5. Let n(q) = 3*q - 4 + 2*q + 6. Let f(x) = x**2 - 11*x + 14. Let u be f(2). What is u*a(k) + 9*n(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -53*j**2 - 5578*j + 28*j**2 + 946*j + 23*j**2 - 6773*j to o*j + x + c*j**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m + 4. Let f be s(11). Solve 7*l + 3 - 10*l**3 + 5*l**4 - f*l**2 + 10*l + 17 + 3*l = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {r: 3, d: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -76.1999 + 0.1999. What is the biggest value in 0.5, s, -0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31434 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**5 + 2*a**3 - 2*a**3 + (-36*a**4 + 1127*a**2 - 1127*a**2 + (a + 0 + 0)*(2*a**3 + 1 - 1))*(a + 2*a + 0*a).\nAnswer: -103*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 2 - (-519)\/((-9)\/(-3)). Let z be ((-731)\/o)\/((-2)\/8). Solve 2*v + 3*g - 7 = -29, 0 = v + 3*g + z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (16\/(-10))\/(-2 - (-396)\/200). Let m = -84 + x. What are the prime factors of 4\/(m - 88\/(-20))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (24 + -11 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/572, -4.6, 781.\nAnswer: -4.6, -1\/572, 1, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllllllullllllll. Give prob of picking 1 u and 3 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34 + 2*u**3 + 12*u - 12*u to the form r*u**3 + p*u**2 + m*u + a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.524642394 to 4 decimal places.\nAnswer: -0.5246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/5 in 0.2, -5, -1, 0.0578?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/2498484 and -86\/4372347?\nAnswer: 17489388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/700 and (73\/(-2))\/(419 - (28 + -59)).\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) -1  (c) 0.12  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 684268 divided by -182\nAnswer: -26318\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 147.35745 to two dps.\nAnswer: 147.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 136*z - 127*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/287 and -19\/7.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/1117, -3, 0.11 in decreasing order.\nAnswer: 0.11, 9\/1117, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38\/95)\/((-19)\/5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 2 i, and 1 z when four letters picked without replacement from kkikzizikn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3214, -6374, -9534, -12694?\nAnswer: -15854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -2.95. Let z = w - 0.55. Let p = z - -0.9. Which is the nearest to 0.1?  (a) -2  (b) p  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.556 + 23.544. Let m = 24.0678 - k. Round m to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.015 - 1.985. Sort 5, r, 130 in increasing order.\nAnswer: r, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (165\/231*574\/41)\/(2*(-2)\/10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -16\/15*n**3 - 1\/2*n**4 + 0*n + 4\/5*n**2 + 18. Find s such that k(s) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -9 + 6 - 103*-1. Let o = -97 + g. Factor -2\/5 + d**5 - 2*d**2 - 9\/5*d + 4\/5*d**o + 12\/5*d**4.\nAnswer: (d - 1)*(d + 1)**3*(5*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6688522*3.\nAnswer: 20065566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -2*d - 3 + d**2 - 1\/3*d**3. Give i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51927479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001011100111110000000 + 1100000?\nAnswer: 10001011100111111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16287.\nAnswer: 3, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 5*f + 126, -183 = -3*b - 3*f - 57. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) -1  (b) 21  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/21)\/((-30)\/(-42))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 237*s**2 - 8070*s + 1389. Give n(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -16*p - 7*p + p. Let r(s) = -1452*s. Let h(f) = -387*f. Let j(z) = 15*h(z) - 4*r(z). Calculate j(m(b)).\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of w**4\/8 + 4*w**3\/3 + 9*w**2 + 16. Let n(u) be the second derivative of k(u). Determine n(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 370 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = s + 3*g - 4*g, -2*s - 5*g + 31 = 0. Sort -2, 38, s.\nAnswer: -2, s, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 184*h**2 + 88 + 173*h**2 + 171*h**2 - 527*h**2 - 46*h. Give g(44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 4*d + 6. Suppose -45 = 5*h + 4*s, 0 = 2*h - s - s. Give v(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 106410722 and 37015?\nAnswer: 7403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 875989963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -453016 (base 15) in base 8?\nAnswer: -14456643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -3*m**5\/2 + 5245*m**4\/4 - 39169*m**3\/2 + 145171*m**2\/4 = 0?\nAnswer: 0, 13\/6, 13, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 95 + -94.8. Which is smaller: -1\/27 or y?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w - 17. Let m be n(-11). Suppose -4*j = -m*g + 27, 2*g + 5*j = -8 + 32. Let p be ((-14)\/6)\/g*-3. Solve p + 0 = 4*l - f, f = -2*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 4 + 93 + 7 + 0 + -8?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1422705 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -16547, -16548, -16549, -16550, -16551?\n\"Answer: -y - 16546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4348 - -29335. What is r rounded to the nearest one hundred?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1854)\/(-90) - (-4)\/10. Calculate the greatest common divisor of h and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 32*k**2 - 19*k**2 - 14*k**2 - 11*k**2. Let a(m) = -18*m. Calculate a(t(r)).\nAnswer: 216*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n**2 + 19*n + 13. Let i(h) = -43*h - 826. Let b be i(-19). Give a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p - p + 3*p)*(-5 + 3 + p**2 + 12*p**2).\nAnswer: 13*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109261, -3, 8736 in ascending order.\nAnswer: -109261, -3, 8736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 548 + 1043. List the prime factors of w.\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3232 + 584989\/181. What is the common denominator of -149\/6 and n?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251.6406 rounded to 0 decimal places?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -24*f. Let k(d) = -168*d**2 + d. Give k(i(r)).\nAnswer: -96768*r**2 - 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4633 - 4732. Which is bigger: k or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**3\/15 - 1052754*n**2 - 10527550*n - 78956650\/3 = 0.\nAnswer: -5, 7895665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 44462 - 5?\nAnswer: 44454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58 - 46 + 155 - 44 - 5*k.\nAnswer: -5*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.164 * 3973\nAnswer: 651.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/5 - 228216*b\/5 + 22921600.\nAnswer: -2*(b - 500)*(b + 114608)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -3002130010300?\nAnswer: 3002130010310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -162 + 166 + 5 + 37.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/9)\/(755\/1359).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxvvxxxxfvxfxxvxxxx. What is prob of picking 2 x?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86 + -90. Let d be (3\/90)\/(5\/i). Sort -2\/7, d, -1, -0.1 in descending order.\nAnswer: d, -0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 301166*p*u*w - 92*p*w - 85*p wrt u.\nAnswer: 301166*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h + 60. Calculate f(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -477 divided by -3.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 823058590.\nAnswer: 2, 5, 131, 628289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 + h - 3. Let b(o) = -4*o**2 + 2*o - 6. Let u(k) = b(k) - 2*w(k). Let x(n) be the second derivative of -n**4\/12 + 10*n**3\/3 - 5*n. Give u(x(g)).\nAnswer: -2*g**4 + 80*g**3 - 800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 25.6 and 4697.\nAnswer: 120243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/(sqrt(64)\/sqrt(8)) - sqrt(3))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j. Let x(r) = 4*r. Let o(m) = m. Let l = 2 - 4. Let i(d) = l*x(d) + 20*o(d). Determine i(t(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44 - (20\/4 + -28).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 370\/15*(7 - 10). Do -74 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 11. Suppose 0*n + 2*n = 2*a - l, -n - 13 = -4*a. Let x(w) = w**3 + 2*w**2 + 2*w. Let y(h) = 2*h**3 + 3*h**2 + 2*h. Determine n*x(z) - 2*y(z).\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -21c7a9 (base 14) to base 11\nAnswer: -714993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 8*o**3 + 4*o**2 - 20*o + 135. What is the hundreds digit of m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 146 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 1011011000110?\nAnswer: -1011011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 85 + -67. Let c be 29*(4\/22 + v\/22). Let a(t) = -c + 18 - 6*t**2 + 11. Let w(r) = -5*r**2. Give a(w(z)).\nAnswer: -150*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x + 8. Suppose w - 4 = 0, 4*q = -w + 43 - 15. Let s be f(q). What is the greatest common factor of 220 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-5)*(-5705)\/(-7). Suppose 0 = -5*z + y - 21. Calculate the remainder when z is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74901 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8535068687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 6 = 4. Suppose 7 = x*z + 33. Let k = -9 - z. What is the remainder when 7 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 1 + -5 + -4 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*k**2 - 13 + 13)*(-17 + 17 - 24*k) + (4*k**3 + 3*k**3 - k**3)*(5 - 3 - 1) to the form p*k**2 + n*k + r*k**3 + v and give r.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -240 - 237 + 475 + 121*c in the form g + h*c and give h.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1692 + 188*i - 1692 to o*i + t and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, m: 3, d: 2, s: 1, l: 3}. Give prob of sequence mdmb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5 - -5) + (4 - -1). Find the second derivative of -39*j + 17*j + j**5 + c*j**5 + 9*j wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63 * 1.64.\nAnswer: -103.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -173, -109, -53, -5, 35, 67?\n\"Answer: -4*i**2 + 76*i - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 >= -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b - 13. Let c be a(-10). Let i = 12 + c. Suppose -3*s - n + i = -41, -70 = -3*s - 5*n. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/30*((-40)\/220 + 188\/550).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*m + 223, -2*m - 3942*x = -3940*x - 78. Calculate the remainder when 18444 is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 22061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/28 and 139\/37968?\nAnswer: 37968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -78  (b) 0.4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (230\/6)\/(3\/783)?\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 8125 - 8105 = 5*w, -4*n - 2*w + 8 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 678 - 2162.54\nAnswer: -1484.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/(-27)*9*3\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9824 - -29470\/3. Which is the nearest to -2?  (a) -0.4  (b) 0.2  (c) 10  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**2\/7 - 17950*v\/7 - 80550625\/7 = 0 for v.\nAnswer: -8975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/275 > 2.684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 774*a**3 + 48*a**2 - 10*a + 17. Does 213 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 575228090355 + -15\nAnswer: 575228090340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 1*((sqrt(98) + 0)**2*3 - 2*-1*sqrt(98) - ((-1 + sqrt(98))*5 + sqrt(98) + 4*sqrt(98)*2)).\nAnswer: -84*sqrt(2) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2 + 5*y**2 - 1 - y**3 + 2 + 6*y. Let n be g(6). Differentiate 2*t**3 - t**3 + n - 5 with respect to t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -5. Suppose -5*t - s = -a, 4*t + s + 4 = 9. Let d be ((-15)\/(120\/16))\/((-180)\/27 + (-18)\/(-3)). Solve 3*j = -t - d, -4*j = 2*g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -312, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of d**4\/12 + d**3\/6 - 11*d**2\/2 + 87*d. Determine c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10816 + 13126. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*t**3 + 18*t**3 + 2*t + 7*t - 42.\nAnswer: 4*t**3 + 9*t - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-104)\/182)\/((-12)\/147)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a = -3*h + 13*a - 15, 0 = -5*h - 5*a - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j**2 + j - 8. Let v be a(2). Solve -5*z + 13 = 3*u, -2*z - 3*u + 5*u = -v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 18 = 30, -l + 3*h + 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-4\/7)*x**(-2\/31)*(x*x\/(x*x**0)*x)\/((x**(-3)*x)\/x) assuming x is positive.\nAnswer: x**(947\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -8. Suppose -4*c = 3*b - 4, -4*c + s*b = -0*b - 24. Suppose 101 = c*w - v, -w - w + 48 = 2*v. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -807767*y**2 - 6722712?\nAnswer: -1615534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -n**4\/10 - 8*n**3\/45 - n**2\/15 + 2. Factor f(a).\nAnswer: -2*a*(a + 1)*(3*a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 5*k - 19 = -0*k, 0 = -3*u - k - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (19\/(-14079)*6)\/((-32)\/(-104))\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 7, t: 2}. What is prob of sequence st?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*u**2 - 26324*u - 26325*u + 52649*u - 8*u**3.\nAnswer: -8*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -4, 7*n + 306 = 10*n + 3*d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*p**2 - 6*p + 24*p**3 - 27*p**3 - 4*p**2 - 2*p**2 in the form d + l*p + q*p**2 + n*p**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -493 = -3*g - 505, -5*g - 2615 = -3*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 528 - 528. Which is greater: 114 or v?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11221200002012 (base 3) to base 5.\nAnswer: 1133143040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u = 1 - 1. Suppose u = -5*h - 4*n + 130, 2*h - 2*n + 50 = 4*h. Calculate the remainder when 149 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v - 42. Let w be l(-11). What is the third derivative of c**w - 3*c**2 + 2 + 0*c**2 - 2*c**4 - 23*c**3 + 11 wrt c?\nAnswer: -48*c - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 40  (b) 1  (c) -3\/5  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**3\/((u\/(u\/u**(6\/5)))\/u))**(-11) assuming u is positive.\nAnswer: u**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 - 12*l**2 + 24*l + 27. Let h be r(9). Put -41, 2, h in ascending order.\nAnswer: -41, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1252, -130, -1512?\n\"Answer: -1382*c + 2634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t. Let h(s) = 5*s. Let w(q) = -4*h(q) - 18*j(q). Let o(d) = 2*d - 204. Calculate o(w(z)).\nAnswer: -4*z - 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.22 - 0.78. Which is the third biggest value?  (a) -4  (b) -2\/3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19\/10?  (a) 0.4  (b) 0.3  (c) 273  (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {d: 1, k: 1, v: 1, q: 1, x: 2, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4568 by -1.\nAnswer: 4568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (53 - 168) + 14 - -69.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-402)\/165 + (-12)\/60 and ((-22)\/8)\/((-5)\/6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, q: 2}. What is prob of picking 1 q and 1 i?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1484 (base 14) to base 3.\nAnswer: 11222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -9*g. Let j(f) = 20507341*f**2. What is j(w(y))?\nAnswer: 1661094621*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z. Let h = -49 - -82. Let j(d) = 69*d**2 - h*d**2 - 38*d**2 - 17. Calculate u(j(g)).\nAnswer: -2*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1520 - -1522. Solve -h*x - 10 = 0, 2*o - 5*x = -4*x + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 5:40 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, k: 1}. Give prob of sequence pp.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/24 and -73\/135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -892, -2728, -5562, -9388, -14200, -19992, -26758?\nAnswer: -34492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*i**5 - 3950*i**4 - 23545*i**3 - 19600*i**2 = 0. Calculate i.\nAnswer: -784, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3113 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.063  (b) -4\/3  (c) 0.602  (d) 0  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from huhppuppppeuphpehp. What is prob of picking 1 u and 3 p?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1351252 (base 7) in base 13?\nAnswer: 64249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/4*(-1)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250389 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 536359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -8, 1\/5, -1\/14, -0.3, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/9*(-3)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/832 and 3\/704.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2. Let l(h) = -8*h**2 + 2*h + 19. Calculate l(v(a)).\nAnswer: -32*a**4 + 4*a**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 11:43 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -948*c + 943*c = -1160. Calculate the highest common divisor of 174 and c.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4740 divided by 10\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**4\/13 + 54*c**3\/13 + 224*c**2\/13 - 1080*c\/13 + 800\/13 = 0?\nAnswer: -20, -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -66344 less than 6768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1913699 divided by -1913699?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 145038359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -0*s + y - 373, -5*y = -s - 129. Let v = s - -174. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.73 + 142.27. Let s = -142.99773 + h. What is s rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184966 is divided by 355.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*z - 18*z = 3. Suppose -8*l + 4*l = 4. Let w = 1595\/7 + -227. Which is the nearest to l?  (a) w  (b) 8  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 3*b. Let m(z) = -493320769*z. Calculate k(m(v)).\nAnswer: -1479962307*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004255 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -9, -13, -13, -9, -1, 11?\n\"Answer: 2*q**2 - 10*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/14, 0.108, 91?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1634740287 a multiple of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 430830 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145*w + 146*w = 3*x + 17750409, 2*x = -w - 11833591. Round x to the nearest ten thousand.\nAnswer: -5920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24\/7*h + 67\/7*h**2 - 8\/7*h**3 + 0 = 0. What is h?\nAnswer: 0, 3\/8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/8 - 5\/2. Let c(o) = 2*o**2 + 2*o + 2. Let u be c(z). Suppose 3*v + 0*v = 0. Solve -4*f - 3*n = -u, 4*f + v = 3*n + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -233 + 177. Let h be 92\/115*-10*2\/v. Factor 2\/7*j + 0 + h*j**2.\nAnswer: 2*j*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58159 is divided by 19319.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 122 - 124. What is the closest to -0.2 in b, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 3*j - 96, 0*w + 2*w - 48 = 4*j. Calculate the lowest common multiple of 9 and (4\/3)\/(4\/w).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f - 2. Suppose 3*q = q + 28. Let w = q - 23. Let s(t) = 5*t - 5. Calculate w*o(i) + 4*s(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/(-15))\/((-4)\/(-50)). Suppose -485 = -6*o + 3*o - 5*c, -2*o - 2*c + 326 = 0. What is the greatest common divisor of v and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3 + 5. Solve 4*g = -m - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-4))\/((45\/(-24))\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4194, -4188, -4160, -4098, -3990?\nAnswer: -3824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41 - 207\/5. Let f = 125 - 124.9. What is the third biggest value in 2, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, a: 2, r: 2, x: 2, p: 4}. What is prob of sequence aprx?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-56)\/(-35) + (-6)\/10. Suppose -2*b + 4 = 5*u, 3*b + 6 = -2*u + n. Let s = -3 + u. Do s and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 763.6999 centimeters in kilometers?\nAnswer: 0.007636999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (8\/(-42))\/((-58)\/(-174)). Which is the biggest value?  (a) -3\/4  (b) 13  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - y - 16 = 0. Solve -20 = -y*j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 134.78 * 2.\nAnswer: 269.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -105456, -105437, -105414, -105387?\nAnswer: -105356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*x + 21*x = -216 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = i + 2. Let n = -7 + i. Let x be (5\/3)\/((-3)\/9). Put -1, n, x in increasing order.\nAnswer: x, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 145*p**2 + 5*p - 355. Is m(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cucc when four letters picked without replacement from {s: 3, c: 7, o: 2, g: 4, u: 3}?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3*f = v - 9, -3*f - 33 = -3*v. Let w be (-63)\/(-36)*v\/7. Which is the fourth smallest value?  (a) w  (b) 43\/5  (c) -1\/5  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646564.5m in nanometers?\nAnswer: 646564500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 2 + 13)*(-g**2 - 5*g**2 + 4*g**2) - 4*g**2 + 5*g**2 + 0*g**2 + 29*g**2 - 9*g**2 + 34*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - (0 + 1 - 2). Let v be (-3)\/(-2) - (-3)\/6. Suppose -7 - q = -v*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f - 4*o + 19, 0 = f - 4*o + 6 + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {g: 3, o: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a**0)**(1\/36))**(-39))**(-4\/21))**(3\/2) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 202351402 - 4?\nAnswer: 202351354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -2100000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23306192 at least 23306214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 312*k*p*y**3 + 2*k*p*y + 8*k*p + 1224*k*y**2 + 4*k + 178*p*y - 774*p + 23*y**3 + 1 wrt y?\nAnswer: 1872*k*p*y + 2448*k + 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 26460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49 + 80. Suppose 5*z + 24 = -b. Let f = 66 - z. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 218.6636 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 5 + 55. Solve 5*z + 15 = -b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 87 - 33. Let b = -50 + n. Solve 2*i + 12 = b*u, -2*u + 6*u = 4*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -914 + 518. Let b be (-11)\/(q\/(-8)) + (-2765)\/(-9). Let k = 436 - b. What are the prime factors of k?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*f + 3*f - 26*f)*((7*f**2 - 7*f**2 - 9*f**2)*(7 + 2 - 5 + 6) - 2*f**2 + 5*f**2 - 2*f**2).\nAnswer: 2670*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 4*g - 5, 4*g - 5*i - 2 = 7. What are the prime factors of (-1 - g)\/((-6)\/276)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3357*u - 35880 - 28772 - 26354 = -13795 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/9 + 3761*z\/9 + 93400\/9.\nAnswer: (z + 25)*(z + 3736)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -3*z. Let j = 0 - 0. Let q = z + j. Solve 0 = y - 3*i + 8*i + 6, q = 2*i + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 16 = 4*g, 2*g - g - 5 = 0. Suppose -2*x + 44 = m*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -120*c + 1801. Give g(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 145978315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*c**4*m - 2778*c**3*m**2 - 119010*c**2*m**2 wrt c?\nAnswer: 576*c*m - 16668*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34?  (a) 376  (b) -2\/13  (c) -0.1  (d) 1  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nwnw. What is prob of picking 1 w and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 - 2*y**2 - y**2)*(2 - 5 + 2) + 3*y**2 - y**2 + 0*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -264 (base 11) in base 10?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -655869*n. Let t(p) = 10*p**2. Determine v(t(h)).\nAnswer: -6558690*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 15, 3*s - 4490 = -4*h + 5*s. Let w be h\/220 - (3 + 2). Which is the smallest value?  (a) 3  (b) w  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 16 and 3554984149.\nAnswer: 3554984165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is 2096353813 to the power of 1\/2, to the nearest integer?\nAnswer: 45786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -63, -1, 66, 5, 4, 2 in descending order.\nAnswer: 66, 5, 4, 2, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1490a0 (base 13) in base 7?\nAnswer: 4203405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 288999718 to the power of 1\/2, to the nearest integer?\nAnswer: 17000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -22, 6, 2008.\nAnswer: -22, -4, 6, 2008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**5 + s**3 + s**2 - s + 1. Let b(c) = 11*c**5 - 2*c**3 - 29*c**2 + 2*c - 2. Let t(h) = b(h) + 2*x(h). What is the third derivative of t(n) wrt n?\nAnswer: 780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r - 21. Let w = -28 - -36. Let m be k(w). Find o such that -1\/4*o**5 + 1\/2*o**m + 0*o**4 + 0 - 1\/4*o + 0*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22577*z**4 + 43835?\nAnswer: -90308*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**4 + 3*a**2 - 3*a**2 + (2*a**2 - 2*a**2 - a**3)*(-5 + 5 - 2*a) + 3*a**4 - 10*a**3 + 10*a**3 + (-4 + 4 + 2)*(-2*a**4 + 2*a**4 + 3*a**4).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 2*a + a)*(-534 - 155 + 92).\nAnswer: 597*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - 4030110142?\nAnswer: -4030110133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*k + 56 = -11*k + 175*y - 171*y, -14 = -y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j - 3*j + 2*j)*(-j**3 - 3*j**3 - j**4 + 5*j**3).\nAnswer: 3*j**5 - 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -162 = -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4986, -92.\nAnswer: -4986, -92, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*b = -15*b + 5. What is the closest to 0 in b, 7\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 7*a**2 - 4*a - 7. Let z be (-6 - 4*-3) + (-12)\/(-3). Suppose 3*u - z = -d, 0 = 5*u + 3*d - d - 15. Determine m(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9770563 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j\/j**2))**19*j**(2\/5)\/j**(-1)*(j**(1\/8)\/(((j*j\/(j**(2\/13)\/j*j))\/j)\/j))**(-36) assuming j is positive.\nAnswer: j**(1347\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 4*b. Let f(r) = -3*r + 21. Let g be f(5). Let u(m) = -26*m + g*m + 15*m. Give u(s(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = 8*l - 92 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18478 + 18487. Suppose 48 + 60 = 4*k. What is the remainder when k is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of -w**4\/4 + 8*w**3\/3 + 5*w**2 - 3*w - 1. Let a be c(9). Let o be (-2)\/6 + 14\/a. What is the highest common divisor of 5 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34345 is divided by 1987?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -152850.2902 to the nearest 100.\nAnswer: -152900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 34*q**2 - 9*q - 1. Let h(g) = g**2 - 2*g. Calculate 5*h(n) - k(n).\nAnswer: -29*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*s = -11*s. Which is the nearest to s?  (a) -1\/3  (b) -1  (c) 1\/2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 287 = 34*u + 15. Find the third derivative of 22*i**5 - u*i**5 - 9*i**5 - 21*i**2 - 17*i**5 wrt i.\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ziohxhixxeeezze. What is prob of picking 1 x and 2 z?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 6. Put -2\/3, -2\/9, t in ascending order.\nAnswer: -2\/3, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 986 - 689. Calculate the highest common factor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 8 - 7 + (-1 - 2 + 2)*(3 + 1 - 3) - 1 + 4 + 0)*(2*o + 6*o + 0*o) in the form n*o + z and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + 5*w + 8. Suppose k + 5*v = 3*v, -2*v - 18 = -2*k. Let r be x(k). Which is the nearest to -0.1?  (a) r  (b) 6\/5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + 45*y**2 + 423*y + 4694. What is s(-37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5060)\/(-154)*(-413)\/295.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 100110?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -153 + 89. Let r = q + 73. What is the lowest common multiple of 20 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {g: 4, l: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -4\/11, -0.03, 1\/6, 2\/13, 4\/9?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/23560 and 2\/14568915.\nAnswer: 116551320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 860.1474l in millilitres?\nAnswer: 860147.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-6*(sqrt(56)\/sqrt(4) - sqrt(14)))\/(2*sqrt(7)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 5 - 7. What is the nearest to 2 in j, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.14 - 4221690892673.\nAnswer: -4221690892672.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24 - 22. Let f(s) = s. Let z(v) = 2*v**2 - v + 2. What is u*f(j) + z(j)?\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/4, 1\/12, -2\/11, -2 in ascending order.\nAnswer: -2, -2\/11, 1\/12, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 697666, 697661, 697656, 697651, 697646, 697641?\nAnswer: 697636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*d - 118496 = 0, -2*l = -2*d - 50019 + 287017. Let m be (200\/(-3))\/((-1)\/l). What is m rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 98, -0.1073, 4\/7, 5 in ascending order.\nAnswer: -0.1073, 4\/7, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 99*a**2 - 96*a - 158. What is o(100)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**3 - 4*w**2 + 1. Let o(l) be the first derivative of -13\/3*l**3 - 5\/4*l**4 + 4*l + 1\/2*l**2 - 6. Let m(a) = -8*n(a) + 3*o(a). Calculate m(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1552450 + -1006929. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -8*n**3 + 6*n**2 + 18*n + 42. Let m(y) = -7*y**3 + 3*y**2 + 19*y + 43. Let q(f) = 6*l(f) - 7*m(f). List the prime factors of q(-16).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01355633782 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -46 + 54. Let k(g) = 4*g - n*g + 6*g. Let o(m) = 2 - 6*m**2 - 29*m - 28*m + 57*m. What is o(k(u))?\nAnswer: -24*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 161 = -2*g, 4*y - 135 = -3*g + 80. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1535804 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**3*t**3 - 4*d**3*t - 51*d**2*t**2 + 4*d*t**5 + 18*t**3 wrt t.\nAnswer: 12*d**3 + 240*d*t**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 421.55 - -3.45. Let m = b - 429. What is the smallest value in m, 4, 2.9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 1220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 404 = 295. Suppose -3*v + k = -178. Let h = -97 + v. What is the greatest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01109059 rounded to 4 dps?\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 129894094*x**2 - 129804180.\nAnswer: 259788188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sdsh. What is prob of sequence dss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 143499184 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*a - 20. Let s be a\/2*(-20)\/25. What is the least common multiple of 4 and 15*(s - 5\/3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, b: 2, i: 1, h: 1, s: 2}. Give prob of sequence scb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81 + 44 - 125 - 894*r**3.\nAnswer: -894*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 2*u**3 + 0*u**2 + 0*u**2 + (-u**2 + 3*u**2 - u**2)*(-33 + 68 + 68)*(0 + 0 + 2)*(7*u - 2*u - 3*u).\nAnswer: 414*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1364994 or -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 - -483?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40.2683 + -9.7787. Let g = 1748 + -1798. Let x = g - o. What is x rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -4*l - a + 12, -4*l - 3*a + 4 = 0. Suppose x = l*x - 3*u - 3, -3*x = 2*u - 3. Is 13 a factor of (-1)\/((-360)\/355 + x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away -22243120.99?\nAnswer: 22243124.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 2*r + 8. Suppose -5*q = 2*g - 107, g = -q + 18 + r. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 243*f**4 + 864*f**3 - 1014*f**2 - 3168*f + 3267.\nAnswer: 3*(f + 3)**2*(9*f - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34 + -81. Let i = -50 - x. Let y be (-3)\/(-9)*i - -3. Solve -12 = -4*z + y*a, 2*z + 2 = 6*a - 3*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4154 + -4149. Solve -u*d = -b + 14, 4*d + b = -8 + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22339653.\nAnswer: 3, 7, 71, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.18 + 12.88. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16)\/(-10)*10\/(-4). What is the third biggest value in 4, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/2*(168\/140)\/(3\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -39 - 0.2\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - k = 13 - 15, -12*y - k + 35 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from wuiiw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.56 to zero dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 4*n = 4*d - 11694, 5*d + 4*n = 11686. Suppose -5*x + d = -2627. Let v be x\/(-9) - (-2)\/6. Round v to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 25*f - 7. Let v(i) = 37*i - 10. Give -7*j(h) + 5*v(h).\nAnswer: 10*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 304578629767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -w**4\/4 - 4*w**3\/3 - w**2 - w + 3. Let s be v(-4). Is 6 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, z: 2, d: 4, k: 1}. Give prob of sequence zd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 3 f when four letters picked without replacement from fcfcdfdffcfcccc.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 86873150 by 3050.\nAnswer: 28483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3375.647 litres?\nAnswer: 3375647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -2282132.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16500000 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 10}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/6)\/((-2)\/(-9)). Let t(h) = -4*h**2 + h**3 + 0*h**w + 3*h - h**2 + 2 + 2*h. Calculate the remainder when 9 is divided by t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0591 * 24.93.\nAnswer: -1.473363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1715 + 10237\/6. Calculate the common denominator of (-1639)\/(-204) + 28\/(-238) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19192721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2 - 2 = 0. What is the remainder when 51 is divided by 4 + -5 + 28\/g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 7*s**2 + 919*s + 2923. Give u(-128).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1345584230 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**3\/13 - 610*f**2\/13 + 1214*f\/13 - 606\/13 = 0.\nAnswer: 1, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k - k**2 + 0*k)*(61 + 40 + 8)*(0*k**2 - k**2 + 7*k - 5*k)*(-1 + 6 - 4).\nAnswer: 109*k**4 - 218*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 1 - 13 = 0. Suppose z*k = 3*k. What is the common denominator of k\/(-2) - 246\/120 and 103\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y - 15. Let j be c(18). Let z be (3\/3)\/(j\/3). Solve 0 = -2*h + 1 + z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**4 + 2*t**3 - 2*t**3 + (-3 - 3*t**3 + 3)*(-3*t - 3*t + t) - 5*t**4 + 11*t**4 + 3*t**4 in the form l*t**2 + j*t**4 + r*t**3 + x + q*t and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -272 - -269. List the prime factors of 6\/9 + ((-421)\/d - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**5 - 2*c**4 + 34*c**3*w - 47*c**2 - 13*c*w wrt c?\nAnswer: 60*c**2 - 48*c + 204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -7  (c) -3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 84*i**2*t**2 - 592*i**2 - 29*i*t**3 - 4*i*t wrt t?\nAnswer: 168*i**2 - 174*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 25. What are the prime factors of ((-8)\/g)\/((-4)\/120)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/10 + 5*k**2\/2 + 143*k\/10 - 169\/10.\nAnswer: (k - 1)*(k + 13)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -349, -699, -1037, -1357, -1653?\nAnswer: -1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*o + 1 + 3*o**3 - 8*o + 3*o**2 + o**3 - o - 2*o in the form h*o**3 + q*o + v*o**2 + z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37*z**3 + 160*z**3 - 974*z**2 + 1032*z**2 wrt z?\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1992 and 72?\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2514672 divided by -5821?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24 - 21 + 9 - 3)*(2 - 20*o + 1 - 2).\nAnswer: 780*o - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -262 - 32 = -7*l. What is the common denominator of 41\/2 and (93\/6 - 0)*(-7)\/l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 0.0693  (b) 961  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-211 + 191)*((-84)\/(-21) - 24\/5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 29, -3, 92.\nAnswer: -5, -3, 2, 29, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 50\/(-110)*5\/(50\/(-4)). Which is the fourth smallest value?  (a) -1  (b) 0.03  (c) -0.2  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -7 + -3 - (-4 + 51 - (56 - 79))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 3 = -4*p. Let c be (16\/(-24))\/((-2)\/3). Let n(q) = p - 3*q - 4 - 5*q + c. Give n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 15 = -5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 300167 and 685.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t**2 - 4*t + 98. Determine i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 6*m + 132. Calculate z(-5).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + x = -2. Let v be ((-1*12)\/2)\/x. Suppose 4*k - 55 = y - 12, 2*y - 24 = -v*k. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-15)*(4\/(8\/(-10)))\/((-3)\/(-15))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31437443*q**4 - 2*q**3 + 655752226*q**2 wrt q?\nAnswer: 754498632*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 452*r**2 - 200*r**2 - 1 - 115*r**2 - 3 - 2*r - 230*r**2 to k*r**2 + z*r + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 12:15 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -319725870 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 1 = 2. Let v(l) = -3. Let d(u) = u - 4. Let b(p) = x*d(p) + 4*v(p). Let m(g) = -7*g. Let f(j) = -j. Let q(n) = -6*f(n) + m(n). Calculate b(q(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3015)\/(-372) - (-5)\/20. Let z = 13219\/1085 - j. Let n = -24\/7 + z. Which is smaller: n or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(6) - -6*sqrt(6)*-1)\/sqrt(3) + -3 + (-3*sqrt(4)*-6 - sqrt(4) - sqrt(4))\/(-1*sqrt(50)))**2.\nAnswer: 656*sqrt(2)\/5 + 4962\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 8:08 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 6*w**2 + 9*w - 131. What is n(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 13 + 20 - 3*d + 3*d + 7 - 5*d. Calculate o(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4243202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-1\/13)*u*u**(-2\/5))\/(u**(3\/4)*u**(-8\/5))*((u\/u**12)\/(u\/(u\/(u\/u**5))))**(-22) assuming u is positive.\nAnswer: u**(40917\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-30)*-1*5\/8. Let s(o) be the second derivative of 3\/2*o**2 - 1\/2*o**3 + 6*o + 0 + z*o**4. Factor s(m).\nAnswer: 3*(m - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**5 + 18*x**4 + 64*x**3 + 112*x**2 + 96*x + 32.\nAnswer: 2*(x + 1)*(x + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17400201?\nAnswer: 3, 7, 13, 63737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5 + 2*sqrt(1331))*5 + sqrt(1331)*3*6*-3)*-6)**2.\nAnswer: 871200*sqrt(11) + 92787876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x + 32. Let s be l(10). Let g be (-16 - -15) + s + -1. Solve -z - 2*p - 1 = 2, g = -3*z - 4*p - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3077 - -4?\nAnswer: -3073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 118 - 188. Let u = -45 - x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in nineteen sevenths of a week?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -101*k - 2. Let t be q(-1). Calculate the greatest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5325518\/(-495))\/((-8)\/10). Let s = j - 13456. Find the common denominator of s and 55\/8 + 2 + 2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 239 = -990. List the prime factors of k.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k - 5. Let z be x(5). Let p be (2 - 1)\/(z\/25). Suppose -2*g + 13 - 3 = -p*y, 2*g - 10 = -y. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -12 + 1)*31\/620\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 11:31 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/6)*s**(-2\/9)*(s**(1\/4)\/s)**(-19))\/((s*s\/((s*s*s**(-2\/7))\/s)*s)**(-30))**(-3\/7) assuming s is positive.\nAnswer: s**(-26801\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p + 5. Let a = 22 - 28. Calculate n(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**3\/9 - 280*a**2\/9 + 9832*a\/9 - 18560\/9 = 0.\nAnswer: 2, 58, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 5483.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of 1\/6*v**3 + 0 + 1\/2*v**2 + 3*v. Let a(j) = 4*j + 1. Calculate -a(s) + x(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -5*n - 3, 28*n = 4*g + 25*n + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (35 - 38) + (-1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**2)*f)**(-2\/33)\/(f**(1\/4)\/(f*f\/(f**(1\/2)*f)*f*f*f)) assuming f is positive.\nAnswer: f**(437\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1309 divided by -221?\nAnswer: -77\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14147.590109 - -14149.04. Let s = 1.45 - t. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 4:57 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5*s. Suppose 1 = w - 4*k - 2, 60 = -5*w - 5*k. Let j be g(w). Let b be (8\/12)\/((-2)\/(-54)). Calculate the highest common factor of b and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*i - i = 12, 3*i + 36 = -3*s. Let c(w) = -47*w + 23. Let f(x) = -90*x + 46. Let m(r) = 7*c(r) - 3*f(r). Is m(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ufxxuxxxxxxuxxxx. What is prob of sequence fu?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**2 + 9*u - 11. Let w be i(6). Let g = 49 + w. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130) + -2*sqrt(130) + sqrt(130))*-1 - sqrt(130) - (sqrt(130) - 1*sqrt(130)*-1))\/((sqrt(100)*2)\/sqrt(10) + 1*sqrt(160)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54089 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*(6*(0 + sqrt(396))*4 + 3)*-1)**2 + 3.\nAnswer: 1152*sqrt(11) + 912391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*s - o, 4*s + 22 = 30*o - 27*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -276256 less than or equal to -276304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 91 - -7. Let d(h) = -h**2 + x - 100 - 6*h + 5*h + h**3. What is the units digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**2*c**(-2\/21))\/((((c\/(c*c\/(c\/(c\/(c*(c\/(c*c*(c*c*c**6)\/c))\/c*c)))*c*c))\/c)\/c)\/(c\/(c*c\/c**(-4\/9)))))**(-20) assuming c is positive.\nAnswer: c**(-15700\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45\/212 - 2\/53. Let o = 366.5 - 278. Let w = o - 89. What is the third biggest value in -10\/9, w, l?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-43872)\/19194 - (-148)\/77?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 298275 and 21?\nAnswer: 2087925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**4\/8 - 81*g**3\/8 + 75*g**2\/4.\nAnswer: 3*g**2*(g - 25)*(g - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 2.03. Suppose 0 = -l - 4*l - 5. Which is the closest to l?  (a) 3  (b) -1\/12  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 182523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 2*q. Let h be a(3). What is the lowest common multiple of (0 - 15\/(-3)) + (h - 2) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = 3 - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-3)*6*5*9\/(-1530)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 3*p - 2*m + 19, -p + 5*m - 22 = 0. Let x(z) = p*z**2 - 2*z**2 - 2*z**2. Let k(o) = -4*o. Determine k(x(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 624 divided by 1366161.\nAnswer: 208\/455387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -65, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43\/8 - 489\/88. What is the nearest to 0 in p, -4, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 136*k**2 + 26*k + 26. Let f(u) = -15*u**2 - 3*u - 3. Let g(b) = -52*f(b) - 6*v(b). Let l(t) = -t. Calculate g(l(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5824 is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -48.7?  (a) 4  (b) 17  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 9) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 103\/386 - -45\/193. Which is bigger: h or -74.44?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -10  (b) 0.02  (c) -3\/8  (d) -5  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 25 = -2*p. Suppose -10*v + p*v = -5. Is v bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-14))**(2\/37)\/(t\/(t\/(t**(-2)\/t)*t)*t*t\/(t**(-35)\/t*t)))**(-9\/2) assuming t is positive.\nAnswer: t**(10719\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 - c + 4. Let k = -6 + 6. Let d be p(k). Solve u + 9 = d*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 361910059 and 428.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 65546095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 8735, 7849, 6963, 6077?\nAnswer: 5191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -186*w - 121. Let r be t(-12). Is r bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 407146.8 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 506*p + 630*p + 369*p - 50*p.\nAnswer: 1455*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 9 - 1. Let r be (-5 - -3) + 9 + -2. Suppose r*v - 8 = -33. Sort i, 5, v in descending order.\nAnswer: 5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*g**3 - g**3 + 3*g**3 + g**2 + g**2 as t + x*g + i*g**3 + p*g**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -54 - -56. Suppose -b - c + 13 = 4*c, 0 = -k*b + c + 15. Solve -b*t + 4 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 254597 in 1\/10, -2\/3, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1612\/5 - -321. Calculate the common denominator of -167\/60 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 27*r + 16 - 31 + 103*r + 60*r - 36*r + 5*r**2. What is v(-31)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-144)\/(-48)*3\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*s**2 - 19*s**2 + 15*s**2 - 2*s to the form d*s + f*s**2 + v and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 19*n = -15*n, -2*n = 3*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-1\/13))**(2\/101)*(j*j\/(j**(2\/35)*j))**(2\/93))**(-47) assuming j is positive.\nAnswer: j**(-2785502\/1424605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.531 + -26.868. What is p rounded to one dp?\nAnswer: -31.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 116702.331 - 107704. Let z = -8997.73100026 + f. Let m = z + -0.6. Round m to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2473 in -4, -13.2, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccubuuucu. What is prob of sequence ccb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45603864244*v + 57 + 45603864244*v - 6*v**3.\nAnswer: -6*v**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 8744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*(n\/(n*n**(-11)))\/n*n*n*n**(-42) assuming n is positive.\nAnswer: n**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -177 (base 9) to base 3.\nAnswer: -12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of l**4\/24 - 17*l**3\/6 - 17*l**2 + 2. Let p be i(18). Which is smaller: 8\/27 or p?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.53 * 0.6.\nAnswer: 0.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -20\/1446339 and 0.07 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -502\/5, 1, -4, 3\/7 in increasing order.\nAnswer: -502\/5, -4, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -3*m**3 + 45*m**2 + 102*m + 4. Give y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 14*s**2 + 1. Let n(i) = -14*i**2 - 7*i - 10. Let q(x) = 8*x**2 + 5*x + 7. Let c(l) = 5*n(l) + 7*q(l). Give 2*c(b) + 3*m(b).\nAnswer: 14*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1122032112 (base 4) to base 6.\nAnswer: -11530530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 11:57 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, i: 1, d: 9, b: 1, l: 4}. What is prob of picking 2 l?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 104c?\nAnswer: -104c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13825935 - 1852908. Let n = s - 11972957.000024. Let c = n - 70. Round c to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**2 - 12 + 107*k**3 - 109*k**3 + 2 + k - 2*k in the form v + d*k**3 + p*k**2 + i*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 43, 3, -90, -1, 31 in decreasing order.\nAnswer: 43, 31, 3, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -3*(-1 + sqrt(128)*1)**2*4*-4.\nAnswer: -768*sqrt(2) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 12*d**2 - 11*d**2 + 3 + 1 + 4*d. What is the remainder when 17 is divided by p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2283.6603 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 48*s**2 - 350*s + 46. What is p(6)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-121331 - 1254*d**2 + 121331)*(0*d**3 + d**3 - 3*d**3).\nAnswer: 2508*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 105\/11 + -12327\/1243. Let m = -8953\/678 - w. What is the common denominator of 2\/5 - (-101)\/60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 8 - 7. Let z = 11 + v. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of 2*a**5\/15 - 5*a**4\/24 - a**3\/6 - 74*a**2. Calculate the remainder when w(-6) is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 993527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 376215764?\nAnswer: 2, 94053941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w + 125. Let y(h) = 0*h + h + 16*h - 9*h - 7*h. Determine y(l(b)).\nAnswer: 3*b + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-21) - 240\/(-84). Solve -6*l - r = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -8\/137, 1, -14?\nAnswer: -8\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 241 + -238. Which is the nearest to -0.1?  (a) u  (b) -2  (c) 1\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*((j*j\/(j**(-3\/2)\/j))\/j)\/j*j)\/j*j*j*j**(1\/2))\/((j*j**(2\/11))\/j*j*j)**(-37))**(10\/7) assuming j is positive.\nAnswer: j**(9540\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49\/4*(-45)\/(-4095)*104?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14611941.\nAnswer: 3, 53, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 10 = -5*m, -4*m = -66*t + 64*t - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 1  (b) 1\/11  (c) 5  (d) -36850  (e) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 503031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7654970 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: Calculate -323771 divided by -3.\nAnswer: 323771\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*s - 6702 = 57*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1215.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10684 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 14, 2\/5, 2\/9, -63?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) + -6*(sqrt(300) + (sqrt(300) + 3 - sqrt(300))) + sqrt(300))*2 + 4)**2.\nAnswer: 5120*sqrt(3) + 20224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 + -38. Let w be (-3)\/2*a\/18. Let x(t) = t + 3*t - t + w. Give x(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k**2 - 2*k**2 - 7*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -25*n + 174 - 174 - 41*n. Let l(b) = 6*b. Give l(d(g)).\nAnswer: -396*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 0.2047.\nAnswer: 1.0235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - 1.4. Let g be (-3*2\/(-45))\/((-44)\/612). Let b = 16\/11 + g. Which is greater: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 546*t = 28*t + 4662 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7060 in -1, -3, 0, -4, 0.4, -81?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(7 - 3))\/(3\/(-123)). Let o = 69 + y. What is the highest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -39, -3, 50, -4, -11.\nAnswer: -39, -11, -4, -3, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56438522*y**3 + 19756093*y.\nAnswer: 338631132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t - 3 + 8 - 6.\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 5 - 13) + (10 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5285)\/(-1057)*(1\/5 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 123 + 3c?\nAnswer: 15f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**8\/1344 - r**7\/280 + r**5\/60 + 8*r**2. Factor v(i).\nAnswer: -i**2*(i - 1)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 25740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 4*k - 160 = 0, -k = 8*l - 11*l - 114. Let p(u) = u**3 + 37*u**2 - u - 34. Let v be p(l). Let j(c) = c**3 - 5*c**2 + 3*c + 3. Calculate j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 - 11. Let t(s) = s**2 - 18*s - 109. Let n be t(26). Calculate the highest common factor of q and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 3*y - 654389, -y - c + 218151 = 4*c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -289.05 + 289. What is the third smallest value in m, 2\/7, -5, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {v: 2, n: 4, c: 2, f: 2, e: 1, m: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -115782520 rounded to the nearest 100000?\nAnswer: -115800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*h - 5. Let k(p) = 67087*p + 82340*p + 5573*p. Let w be k(h). What is w rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyes when four letters picked without replacement from {e: 1, y: 2, k: 1, s: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + 2 + 4\/4. Let u be (-1)\/(c\/(-5))*(-66)\/(-30). Solve 0 = -5*i + 9 + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 8*a**3 + 3*a**2 + a - 3. Determine u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -22*l - 5. Let z(y) = -23*y - 6. Let i(s) = 5*a(s) - 4*z(s). Let d(n) = -n**3 + 8*n**2 + 2*n - 17. Let p be d(8). What is the units digit of i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 9) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**3\/9 - 48490*i**2\/9 - 48496*i\/9 + 10776 = 0. What is i?\nAnswer: -2, 1, 24246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.6 * -0.493.\nAnswer: -0.2958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000448380863 to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2771 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19120 and 480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4*f = 3*x - 30, 4*x = -2*f + 30. Let r be -4*(1 - (x + -3)). Let b be (-42)\/r*-4 + -3. Calculate the highest common factor of b and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 111337 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + (-203)\/(20706\/(-6324))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67046693 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-16))\/(3\/(-14))*(-2120)\/(-7420).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3\/7 + 18292*o**2\/7 + 255786*o\/7 + 821880\/7.\nAnswer: 2*(o + 5)*(o + 9)*(o + 9132)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 - 3*z**2 + 7*z**2)*(z + z - z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12616.63 millennia to decades.\nAnswer: 1261663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 184595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 129144892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y - 15. Let l be (-20)\/5*(-5)\/(-4). Let v be q(l). Solve 5*h - u + 7 = 3*h, 5*h + v*u = 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140\/(-8)*((-161)\/7 - -21)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*y + 1976 = -99*y + 148*y for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x**2 - 39*x - 23. Determine v(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 7*z - 4. What is the units digit of c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b76a1 + 4?\nAnswer: b76a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10460 divided by -1\nAnswer: -10460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-4) + -2)*(3 - 1). Let o = m + 8. Let a(w) = -17*w + 2 + 12*w - w**2 + 4*w - 1. Calculate a(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.979 - -0.021. Which is the nearest to -6?  (a) u  (b) 0  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.417*9920\nAnswer: -4136.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67150081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.047  (b) -4  (c) -2074\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.17*2075.\nAnswer: 352.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 902 = w - 5*p, -5*w + 3776 = 4*p - 763. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93342 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0183362628 to four decimal places.\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94531343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -2 - (-2 + 14 + -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = r + 1, y - 13 = -5*r + 2*r. Suppose k + 2*q = 8, k + 2*q - 4*q = 12. What is the remainder when k is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 - (243 + -334)*6\/21.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 - -11 - 0 - -10 - -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 5*h - 12 = 0, 4*h + 125 - 141 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -d - 2*d. Suppose 114 + 672 = d*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10005 and 5175?\nAnswer: 150075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -10*w**3 + 5*w**2 - 8*w + 10. Let j(t) = t**3 - t**2 + 2*t - 2. Determine -4*j(r) - u(r).\nAnswer: 6*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 75, 0.2, -1, -3\/8, 42.8?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2)\/h*h**(1\/10))\/(((h*h**(-2\/7)*h*h*h)\/h)\/(h*h**(-5))))\/(h*h*h**(-3)*h**(2\/7)\/h*h)**(2\/17) assuming h is positive.\nAnswer: h**(-11341\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*m - 9*m + 6*m)*(3 - 9 + 7 + 2*m).\nAnswer: -20*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 12:01 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/2))**49\/(t**(-2\/11)\/(t*t\/(t**2*t))))\/(t**3*t**(2\/7)*t*t**(2\/7)*t*t*t*t*t**(-7)*t) assuming t is positive.\nAnswer: t**(-4295\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11098608 is divided by 160?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (10 + -1 + -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/((-30)\/33) + -2. Let p = 11 - 12. What is the closest to 1 in v, p, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 3*m - 4197 = 0, -4*m + 9*m = -3*g + 4237. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4002 + -15?\nAnswer: -4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 5*w = -9*w + 56. Let g(r) be the first derivative of 0*r**3 + 13 + 12*r**2 + 3\/4*r**w + 0*r. Find the second derivative of g(o) wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/y**(1\/20))))\/(y*(y\/y**(-7))\/y*y))\/((y\/(y*y\/(y*y**(-1\/11)*y)))\/(((y\/(y*y*y**10*y*y*y))\/y)\/y)) assuming y is positive.\nAnswer: y**(-5491\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1638716 and 3835712?\nAnswer: 3284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -95.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 146057.38 rounded to the nearest 10?\nAnswer: 146060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**3 + 3*z**3 + 5*z**3 + (-z - 2*z + 5*z)*(-z**2 - 4*z**2 + 6*z**2) as r*z**2 + v*z**3 + w + i*z and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 5*g**2 + g - 1. Let r be j(5). Let t be 1105\/78 + -9 + (-15)\/6. Factor 4\/3*p**r + 4\/3*p**2 + 0*p + t*p**3 + 0.\nAnswer: 4*p**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h**2 + 2*h**2 + 13*h**4 - 3*h**2 + h**3 - h**2 - 2 to the form v*h + z*h**2 + i + j*h**4 + w*h**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14073?\nAnswer: 3, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46382 is divided by 11592.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19684726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 8480 = 13*k. Let r = k + -11128\/21. Solve 0 - 2\/7*y**2 - r*y - 2\/21*y**3 + 2\/7*y**4 + 4\/21*y**5 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10020 + -2122101022200?\nAnswer: -2122101102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h = -11 - 16. Let n(d) be the first derivative of -d**3\/3 - 3*d**2 - 4*d - 1. Give n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*f**3*o**4 + f**3 + 29*f**2*o**5 + 4*f + 12*o wrt o?\nAnswer: -264*f**3*o**2 + 580*f**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1369175*a + 1369251*a - 2738438*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00020643 to 6 dps.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/2*(4 + -2). Suppose a - 2 = c, 5*k + 2*a - 65 = 0. Suppose u = m + 33, 5*u + m + k - 164 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 0 + 3 + 6 + -9 + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4237940.\nAnswer: 2, 5, 7, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 100183 - 72120 = b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2689 = -5*t, q + 1401 = 3*t - 1278. Let p = q - -5963. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 59*w - 59*w - 14 - 15*w**2 wrt w?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7195028g in kilograms?\nAnswer: 0.0007195028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4250611?\nAnswer: 4250611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 2*h - j + 5*j, -3*h + 6 = -j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - 5. Let a = 22 + i. What is the least common multiple of -1 + 1 - 17\/((-51)\/30) and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 762*g**2 + 57*g**3 + 364*g**2 + 400*g**2.\nAnswer: 57*g**3 + 2*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 4*j. Let w = 4 - 3. Let n be z(w). Suppose -n*p = -f + 4, f - 4*f + p - 10 = 0. Let l(o) = -3*o - 4. Determine l(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 785106 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -1.1. Suppose 0 = h + 4 - 2. Let n be h\/2 - (5 + -5). What is the nearest to n in 0.1, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 5*w**2 - 24*w + 9. What is l(7)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -5*v**4\/4 - v**3\/3 - v**2 - v + 2. Let x be y(-1). Does 8 divide (16\/x)\/((-3)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 568635*w + 8350. Let m(f) = 817*f + 12. Give -4175*m(g) + 6*p(g).\nAnswer: 835*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 215, 194, 159, 110, 47?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - -2. Suppose a + 3*m + 222 + 14 = 0, -5*a + m = 1196. Let u = 245 + a. Calculate the smallest common multiple of u and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, c: 3}. What is prob of picking 2 i?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 213602, 1.9, 5, -4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5504*b - y - 4 = 5508*b + y, -5*b - 5 = -y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 251305339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -2.51  (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1215 - -1696. What is the greatest common factor of g and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -v**6\/30 - v**5\/25 + 13*v**4\/20 + v**3\/15 - 6*v**2\/5 + 28. Let w(s) = 0. Calculate s.\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1204976  (b) 37  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 950 is divided by 797?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**3 + 3*g**3 + 2*g**5)*(-6 + 10 + 1 + (-1 + 2 + 0)*(1 + 3 - 5)).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18.3*12.\nAnswer: 219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3391 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(a**39*a)\/a)\/(a\/(a\/(a*a\/(a*a*a*a**(20\/11))))*a)*a**30*a*a\/a**11 assuming a is positive.\nAnswer: a**(691\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 167*d - 495. Let w(v) = 86. Give g(r) + 6*w(r).\nAnswer: 167*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 10:10 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (3 + sqrt(176) + -5 + -2 + sqrt(176) + (sqrt(176) + -1 + sqrt(176) + sqrt(176))*-6)*-2 + -1.\nAnswer: -1 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 3*j - 6 - 18, j - 6 = n. Find the first derivative of -6*q**j - 1 + 5 - 3 + 4 wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 0*n + 2\/3*n**3 - 53\/2*n**4 + 88*n**2 - 238. What is the third derivative of q(o) wrt o?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/4*11\/((-44)\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 4, 11485 in decreasing order.\nAnswer: 11485, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126324 is divided by 613?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1301 * -5899.\nAnswer: 7674599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 3:32 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1477 is divided by ((-5)\/(-4))\/(630\/3024) + 12*15.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 + 8*o**2 - 8*o + 9. Let j be n(6). Let u = -21 + j. Suppose 0 = -2*g - 2 + 38. Calculate the greatest common factor of u and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.054 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15 + 11. What are the prime factors of 3\/(-6)*13*b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + sqrt(143) + (sqrt(143)*-5 - sqrt(143)))*5 + -1*sqrt(143)*-2)\/(-1*(sqrt(11) + sqrt(77)\/(sqrt(56)\/sqrt(8)))*-4).\nAnswer: -13*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(3\/(-12)*-2). Suppose 0*v = -a*v + 8. What is the remainder when v*2\/8*2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21106997576185 + 21106925436866.000043. Let n = 72139274 + d. Let l = n + 45. What is l rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 3*j**2 + 3*j + 7. Let c = 0 + 1. Suppose 0 = -4*g + 3 + c. Let u(z) = z + 1. Let h(t) = g*a(t) - 6*u(t). Factor h(s).\nAnswer: -(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8785\/(-420) + 21)\/(1\/9). Factor -3\/8*g**2 + 0 + m*g.\nAnswer: -3*g*(g - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24 - -2. Suppose 0 = 4*y + 3*d - 172, -2*y + 76 - 12 = -4*d. Suppose -25 = -g + y. What is the highest common divisor of u and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 20\/(-6)*(-9165)\/(-143). Let h = -214 - v. Let q be (-2)\/14*-4*(-14)\/28. Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 339 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 176.3 + -31.3. Let h = 144.8 - k. What is the closest to 1\/3 in 3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -130, -268, -410, -556, -706, -860, -1018?\n\"Answer: -2*o**2 - 132*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/4 - -1. Let s(v) = 5*v**3 + v - 1. Let x be s(1). Suppose 5*i + 5*q - 10 = 0, x*i - q + 8 = 9*i. Which is greater: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 2*r + 84, 5*r = 3*a - 42 - 74. Solve 2*s = -37 + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -296323452, -592646902, -888970352, -1185293802, -1481617252?\nAnswer: -1777940702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 26. Let d = 286025.999958 + -286033. Let o = l + d. Round o to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8536126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3.56  (b) 11  (c) 1\/4  (d) -1550  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 150986 + -277937. Let f = -154049 + y. Round f to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20296 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/3)\/((-7)\/21). Suppose -4 = -y*d + 28. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (4 - (-1 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 223014 and 94612.\nAnswer: 3122196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*d**3 - 224*d**2 + 224*d**2)*(-3*d - d + 2*d + (4*d + 0*d - 2*d)*(0 - 4 + 0)).\nAnswer: 290*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 7 = -z - 8, -2*p - 12 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29282*a**4\/3 - 1446434*a**3\/3 + 1934974*a**2\/3 + 1392290*a\/3 - 672800 = 0. What is a?\nAnswer: -1, 145\/121, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -175, 6, -3, 2 in decreasing order.\nAnswer: 8, 6, 2, -3, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -6*(sqrt(8) - sqrt(512)) + -5)**2.\nAnswer: -168*sqrt(2) + 14113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 408420688?\nAnswer: 2, 13, 29, 67709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g**2*o + 18743947*g**2 + 9998*g*o**2 + 711*o**2 wrt o.\nAnswer: g**2 + 19996*g*o + 1422*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -3*d**5 - 1669077*d**4 - 232150668117*d**3 + 232154006277*d**2 + 232150668120*d - 232152337200 = 0.\nAnswer: -278180, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 76\/3*z**2 - 4\/3*z**3 - 48 - 64\/3*z.\nAnswer: -4*(z - 18)*(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-60) - 24452\/(-24). Suppose 0 = 7*q - 35116 + c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2. Suppose -17*v + 23*v = 6984. Let p(f) = 1164 - v - 70*f. Give p(a(b)).\nAnswer: -70*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 4  (c) -3  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3647*g - 3636*g = -44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2f + -998?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)*-2)\/sqrt(12) + -5)**2*-1.\nAnswer: -101 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0016*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1034313318 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 32285218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12611\/1272 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4\/9*b**3 + 2\/9*b**4 - 4\/9*b + 0*b**2 - 2\/9 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(1*2))\/((-521)\/1042).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 58 - 30. Suppose 21*w + 798 = o*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u**3 - 111*u**2 - 364*u + 303. Calculate k(40).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (57\/(-18) - 0).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 230*o + 26*o - 768. Let m = -4 - -6. Let 3*f**4 - 3*f**4 - 2 + f**4 + 5*f - 118*f**m - f**o + 115*f**2 = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 519052447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*u = -166*u + 54 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11600716 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**(2\/13)\/s)*s\/((s\/s**17)\/s)*s*(s\/(s*s*s*s*s\/(s*s**(-14))*s*s*s))**(2\/45) assuming s is positive.\nAnswer: s**(2335\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f. Let l(h) = -1206859*h**2. Determine m(l(y)).\nAnswer: -1206859*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 106474\/19 + -5604. What is the closest to 0.16 in f, -10\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 46*p**2 - 38*p + 62. Determine h(47).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(4 + sqrt(1539)))**2.\nAnswer: 288*sqrt(19) + 6220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, -141, 34, 4, -3 in decreasing order.\nAnswer: 34, 4, 0, -3, -4, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -92696, -185580, -278490, -371438, -464436, -557496?\nAnswer: -650630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w + 3*w - 2*w. Let l(n) = 15*n + 7. Let r(h) = 7*h + 3*h + 4*h - 4*h + 5. Let p(q) = -5*l(q) + 7*r(q). Determine t(p(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*j - 3*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -67 + 69. Put b, -4, -11 in descending order.\nAnswer: b, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1128 + -1125. Let p(q) be the third derivative of 0*q - 2*q**o - 13\/6*q**4 + 0 - 4\/15*q**5 - 7*q**2. Find z, given that p(z) = 0.\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18907.23358 + -25.75442. Let g = 18878 + i. Let d = g + 55. Round d to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33554 - 31411. Put s, 8, -3 in decreasing order.\nAnswer: s, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and 22766?\nAnswer: 22763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (f + 3*f + 2*f)*(2305 - 48*f - 2305) as c*f + n + d*f**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)*2*5)\/sqrt(5).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/48 and -65\/1128.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3*v = 2*v + 156, -4*v + 63 = -b. Calculate the remainder when 60 is divided by 4\/(-12)*(b + 0\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 37. Suppose g = m - 1. Let i = -9 + 19. What is the remainder when m is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -223 - -218. Which is the closest to m?  (a) -1\/10  (b) 8  (c) 5  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 270124223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 745325 - 713?\nAnswer: 744412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-23)\/y**7)**(-14) assuming y is positive.\nAnswer: y**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15349154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g = -14*g - 12. Let v be (7 + 3)*(-4)\/(-10). Suppose -t + 10 = -3*p - 0, -5*p - 45 = v*t. Which is the nearest to 1\/2?  (a) 2  (b) g  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**3 + 4*m**3 - m**3)*(-5 - m**2 - 1241*m + 2520*m - 1190*m).\nAnswer: -2*m**5 + 178*m**4 - 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -65*g*p**4 + 55035*g*p**2 + 7*g*p - g - 68381573 wrt p.\nAnswer: -260*g*p**3 + 110070*g*p + 7*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 211814.\nAnswer: 2, 105907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (304*b**3 + 36*b**3 - 94*b**3 - b)*(2*b + b**2 - 2*b + (-b**2 + 2*b**2 - 2*b**2)*(-3 + 3 + 2)).\nAnswer: -246*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 97 + 11. What is the lowest common multiple of 18 and z?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 924111.9 centimeters in kilometers?\nAnswer: 9.241119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 166015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cggycccccycc. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173705.\nAnswer: 5, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*v + 4163 = 202*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 39*m - 1. Let t(w) be the third derivative of -w**4\/24 - 4*w**3\/3 - 2*w**2. Let k be t(-9). Is 19 a factor of u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 75\/(-2)*(-344)\/1290. Is 87 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13125, 26294, 39499, 52758, 66089, 79510, 93039, 106694?\nAnswer: 120493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.1 - -4. Let h = 21\/2 + -89\/10. Let n = h + -6\/5. Which is the biggest value?  (a) s  (b) n  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01666444228 rounded to four decimal places?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of n**4\/4 + 2. Suppose -j - 4*j = -10. Let s(p) be the first derivative of -p**4\/4 - 3. What is j*s(u) + q(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 28735725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 8*s**2 - 7*s - 16. Let m be o(9). Suppose q = m*b - 1, -5*b = 6*q - 3*q - 41. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591906494 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 448 divide 569100287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2642\/(-6) + 4\/12. Calculate the remainder when 42 is divided by 1\/5 + c\/(-50).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -15*o - 23. Let g be h(-2). Suppose -s + 20 = 4*r + 4*s, 2*s = 2*r - 10. Let b = -3 - 2. Put b, g, r in decreasing order.\nAnswer: g, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2450629218.9 rounded to the nearest 10000?\nAnswer: -2450630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3222 = 47*z - 48*z, 0 = -t + 3*z + 811. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 354687*h**4 - 28*h + 4017 wrt h.\nAnswer: 4256244*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 26117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 16*g - 63. Let o(v) = 2*v - 9. Let z(i) = -14*o(i) + 2*r(i). Let w(s) = -568*s**2. Give w(z(m)).\nAnswer: -9088*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 858440\/9 - 95219. Suppose -169 = j - 2*j + 3*k, -k - 491 = -3*j. Let i = j - d. Sort i, 2, 11 in descending order.\nAnswer: 11, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -876383 - 4*f**3 + 876383.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00746076 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 7:56 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i + 6*i + 1990*i**2 + 3*i - 2 - 3*i + 746*i**2.\nAnswer: 2736*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-280)*-1335)\/(16\/(896\/(-24)))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 + -18. Let q be (12\/t)\/((-22)\/(-55)). Let g(x) = 0*x - 6*x + q + 3*x. Give g(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112 and 22928?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/9)*t*t**(2\/13))**26)**32 assuming t is positive.\nAnswer: t**(7808\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**3 + 3*y**3 - 2*y - 831*y**2 + 3 + 833*y**2 in the form p*y**3 + r*y**2 + i*y + c and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/4 + 0 + 5. Suppose -6 = -z*h - l, 0 + 4 = 4*h + l. Let n = -2 + 13. What is the smallest common multiple of n and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 2:56 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 236 - 5663\/24. What is the third smallest value in a, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -2) + -1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - 11*q**2 + 8*q + 6. Calculate a(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 5*d - 2. Let p = 6 + d. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 452 = 4*n - 0*n, -5*p = 4*n - 538. Let l = p + 57. What are the prime factors of l?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 6*z + 9. Let a = -31 - -38. Let n be j(a). Suppose -n*c = -142 - 92. Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -372, -779, -1186, -1593, -2000, -2407?\n\"Answer: -407*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-10)*((-105)\/(-10))\/(-7))\/((-428)\/(-31030))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4944879307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 259001, 2071929, 6992717, 16575293, 32373585, 55941521, 88833029, 132602037?\nAnswer: 188802473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2 - 17*c + 81\/4*c**3 - 63\/2*c**2 = 0. Calculate c.\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-3 - 2) - (2 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from aisqqmmni?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*j - 132 = 81*j. Calculate the remainder when 27 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -260 + 2858\/11. Let k = 0.05 + 0.15. Which is the nearest to k?  (a) -1  (b) n  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000250677 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*h**2*x**3 - 3248*h**2*x**2 + 3*h**2*x + 28942827*h*x**3 - 2*h - 871*x**2 wrt x?\nAnswer: 12*h**2 + 173656962*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/27 and 2*(-129)\/5976 + 12\/144.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -z**6\/57 + 4*z**5\/95 + 3*z**4\/38 - 16*z**3\/57 + 4*z**2\/19 + 146. Suppose c(p) = 0. What is p?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 5*i**3 + 3*i**2 - i - 4. Let u(x) = 11*x**3 + 6*x**2 - 3*x - 9. Let k(q) = -7*m(q) + 3*u(q). What is k(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-1 + 3 - 10 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -579 (base 10) to base 7.\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -19*z**5\/10 + z**4\/4 + 18*z**2 + 2*z + 2. Differentiate j(v) with respect to v.\nAnswer: -114*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/172938 and 109\/9102.\nAnswer: 172938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3657 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 + 0. Let l = -11.7 - s. Let v = -0.6 - l. Is v != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2. Let a(s) = 870*s. Determine a(q(j)).\nAnswer: -870*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 10:00 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 3*v - 4*c, -5*v + 21 = -2*c. What is the third derivative of 4*o**2 - 2*o**3 + 3*o**2 + 4*o**3 - v*o**3 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 2305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2351205 (base 7) to base 16.\nAnswer: 48cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 70*g**2 + 9127*g - 6347923 wrt g.\nAnswer: 140*g + 9127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 305, 344, 397, 470, 569, 700, 869?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73, 290, 649, 1150, 1793?\nAnswer: 2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002355896 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.7  (b) 12388  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61525.7nm to kilometers.\nAnswer: 0.0000000615257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -3*q**2 - 16098*q - 21595467 = 0.\nAnswer: -2683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36381*i + 83202*i + 141950*i.\nAnswer: 188771*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) 28  (b) 5  (c) 0.2  (d) -1.6  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5332319)\/84616 - (-1)\/56?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5328, -10633, -15950, -21285, -26644, -32033, -37458, -42925?\n\"Answer: -o**3 - 5298*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.7 * -0.18.\nAnswer: 1.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 + 6*u + 17. Let m be p(0). Suppose -m*i + 38 = -18*i. Let v = -38 - i. Solve -r + 2*r - 2*o = 0, r + 5*o - 7 = v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 675871043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c - 2*c**2 + 2*c - c + 2 - c - 5*c**2 to the form u*c + x*c**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 0.2, -461, 20, -0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, v: 5, y: 11}. Give prob of sequence yyvy.\nAnswer: 165\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3565 (base 12) in base 2?\nAnswer: -1011101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 15 = -3*i - 10, 5*i - 5*t = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 10) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/13 + 348*w\/13 - 15138\/13.\nAnswer: -2*(w - 87)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r + 6 = -4*x - 10*r, 6 = 5*x + 3*r. Which is smaller: 8\/295 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -65*f**2 + 5. Let p(d) = 97*d**2 - 8. Let u(i) = 8*m(i) + 5*p(i). Let w(j) = -2*j. Give u(w(y)).\nAnswer: -140*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005886 rounded to seven dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4822 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*r + 4*r - r)*(-3 - 1 + 2) - 1152*r - 4554*r + 1688*r - 1936*r - 1399*r in the form f*r + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 9:22 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) + sqrt(245) + 1 + sqrt(245) + -1 + sqrt(245))*4)**2 - (-3 + sqrt(20)\/sqrt(4) + (-1 + sqrt(5) - sqrt(5)) + 1)**2.\nAnswer: 6*sqrt(5) + 62706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42\/235 - -46\/47. What is the nearest to 1\/2 in g, 2\/7, -1, -7\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 - 26*j**2 + 2*j + 46. Calculate g(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 3:41 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*q + 75 - 188 + 1 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -53*l + 58*l - 4*l + 192 + 795 to the form g + m*l and give g.\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7776, -15485, -23194, -30903?\n\"Answer: -7709*y - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {y: 15, n: 5}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/1521443 or 0?\nAnswer: 5\/1521443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-7 + 3 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 18415670?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j - 4*j - 4*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -5*g - 91, -2*w = 3*g - 0*g + 59. Let h be g\/(-76) - (-859)\/4. What is the greatest common divisor of h and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*b - 9260 = 362*b - 47*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**2 + 0*n + 0*n**2 + 2*n - n**2 + 1 - 1 + 0*n + n**2 + 0*n + (-6*n + 0*n + 4*n)*(-n + 3*n + 0*n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3*(-1)\/6*(35 + -1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 678*m + 186 = 709*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 3*n - 31 = -38, 3 = -3*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + 6. Let h = 288 - 285. Suppose -5*l = -h*a - 3, l + 3 + 10 = 4*a. Solve -3*n = l, -3*k - 2*n - b = -6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10002201120 (base 3) in base 8?\nAnswer: -167153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*s)*(-1 - s**2 + 1) - 2*s**2 + 17 - 24 + 2*s**3 + 0*s**3.\nAnswer: 5*s**3 - 2*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12257\/23 + (-94)\/(-1081) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.017364 rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 12:38 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, s: 4, p: 1, i: 3, e: 3, f: 2}. What is prob of picking 1 x and 1 s?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 6*s + 1. Let y(c) = -1 + 10 + 1 + 2*c. Let t be y(-8). Let a be z(t). Solve w + 2 = -a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 0.2  (c) 2\/21  (d) -127155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -3*o**2\/2 - 12*o + 7. Calculate the remainder when 15 is divided by y(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73294664 is divided by 24431538.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -14*j + 101. Suppose 0 = 3*k - 3*p + 6, 3*p - j - 6 = -2*k. Solve w - 5*o = -1, -2*o - k = w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -365*x. Let c(u) = -385*u - 1. Determine p(c(l)).\nAnswer: 140525*l + 365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 149020335974641 + -149020406056677.999939. Let f = v - -70081918. Let a = f - -119. Round a to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gdgdgddgqgdgddddddd?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 0 + 1 + 0 - g. Let w = 783 - 778. Let k(r) = 2*r**2 + 6*r - 4. What is w*h(j) + k(j)?\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 12:59 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(324) - (sqrt(324) + (sqrt(324) - -4*1*sqrt(324))))\/((sqrt(192) - (sqrt(192) + 3*sqrt(192) + sqrt(192)))*2))**2.\nAnswer: 675\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3 + 2974*f**2 + 17898*f + 26874.\nAnswer: -2*(f - 1493)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.138 times 1.34?\nAnswer: -26.98492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/6  (b) -4  (c) 2  (d) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 PM and 6:13 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7300 is divided by 188?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-13)\/52)\/((-15)\/(-24)). What is the closest to -2 in 1\/2, -3\/5, y, -66?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 1. Let b(l) = 0 - 8*l**3 + 2*l**3 + l - l**3 + k. What is the units digit of b(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22, -41, -54, -55, -38, 3?\n\"Answer: r**3 - 3*r**2 - 17*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*x - 65640 - 136651 = -8755. Is 192 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210*h**3 - 218*h**3 - 43084 + 86172 - 43088.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 11  (b) 2\/15  (c) 0.07389  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**2 + 396*h + 10077. What is x(-165)?\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*v**5 + 17*v**4 - 6*v**2 + 14984*v?\nAnswer: -320*v**3 + 204*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/10*(-143)\/(-4290)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u. Let v be j(-3). Let q = v - -12. Find the second derivative of 3*c - 10*c**4 + q*c**4 + c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2156521 (base 7) in base 6?\nAnswer: -5413244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 6) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 6*k**3 + 13*k**2 + 15*k + 132. Let y(p) = 5*p**3 + 10*p**2 + 12*p + 131. Calculate 4*c(n) - 5*y(n).\nAnswer: -n**3 + 2*n**2 - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*y - 3*y**2 - y + 6*y**2 + 8*y.\nAnswer: 3*y**2 + 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-32)\/(-12) + (-3)\/(-9). Solve c = -f, 2*b - 4*b - c = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 1435 = 2*z + 4305, -2*a + 5*z + 5738 = 0. Suppose 741 = l + 4*h, -15*h = -4*l - 13*h + a. Does 48 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -0.4, -2\/9, -28, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of 0*b**3 + 0*b + 1\/6*b**4 - 25 - 4*b**2. Let o(v) be the second derivative of j(v). Let t(l) = -3*l**2. What is t(o(u))?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5002, -9961, -14920, -19879, -24838, -29797?\n\"Answer: -4959*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 294\/(-8820) - (-6503)\/(-210)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 2923935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -0*h - 15. Let a(x) = x**3 + 3*x - 2*x**2 - 2*x + 3*x**2 - 5*x. Determine a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*o - 13071 - 13389 = -18*o. Does o = 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ohh when three letters picked without replacement from huhoouohhhohhhoulh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5276518 is divided by 211?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180 - 134*y + 282*y - 128*y + 18*y**2 - 4*y**3 - y**3 - 63*y**2 = 0 for y.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -5*v - 23. Let m be t(-5). Solve -10 = -2*d, 5*s + m = 2*s + d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6\/5*s**2 + 8\/5 + 2\/5*s**3 + 0*s.\nAnswer: 2*(s - 2)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 - 20*o**2 + 17*o - 8. Let l be a(-21). Let k = 164 - l. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -6*a**4 - 231*a**3 + 156*a**2 + 1539*a + 702 = 0?\nAnswer: -39, -2, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -308 + 308 - 62*n to the form u*n + h and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 9:05 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**2 - 3*y**3 - 9*y - 7*y + y**3 + 15*y in the form c + g*y**3 + n*y + p*y**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -144 + 281. Let t be 1 - (0 + -430)\/2. Let b = t - q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (30\/(-51))\/((-5)\/85) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 166923.\nAnswer: 1335384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (404\/36)\/((-1)\/(-3))*3. Suppose -b*v = -110*v + 36. Solve q = v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -32*b - 1\/6*b**3 + 0 + 19*b**2 - 52\/3*b**4. Find the second derivative of t(o) wrt o.\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -689003 + 689005. Let y(u) = -5*u**2 + 2. Let b be (-1 - -2) + 1 - 9. Let m(t) = -16*t**2 + 6. Determine b*y(r) + l*m(r).\nAnswer: 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/30)\/((-8)\/6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 170 - 140. Suppose -35*k + 2720 = -v*k. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 139772 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 97\/35 + 3634\/35. Let a = -107 + x. Put a, -5, -2 in increasing order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29.5 - 30. Which is the closest to 0?  (a) 0.33  (b) y  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 57. Let t(j) = -j**2 - 27*j - 144. Let g be t(-9). Suppose -g*a = -26*a - 160. Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -5*a**5 + 1460*a**4 + 64825*a**3 - 89380*a**2 - 1088300*a - 1324000 = 0.\nAnswer: -40, -2, 5, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 872 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -117\/14 and 55\/218.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8\/(-1260)*3)\/(423\/(-6030)). Let s = l - -2\/141. What is the closest to 1 in 1\/8, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b - 4*c + 6, 0 = -4*b - 21*c + 17*c + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 4*o**2 - 321176*o - 4497248 = 0.\nAnswer: -14, 80308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 293*a + 24295. Determine l(-83).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17707 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21185?\nAnswer: 5, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**4 - i**3 - 4*i**5 + 263*i**2 - 275*i**2 + 20*i**3 + 8*i**3 - 7*i**3.\nAnswer: -4*i**2*(i - 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 + 85\/2. Put 5, -4, l, -0.5 in ascending order.\nAnswer: -4, l, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 22*t**2 - 53*t - 368. What is the ten thousands digit of a(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -503*i**2 + 171*i - 2 wrt i.\nAnswer: -1006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376*x + 4280 - 921 = -4371 - 542 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fpffpfffpppfpp. What is prob of picking 1 f and 2 p?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 100011222021110012?\nAnswer: -100011222021110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of o**7\/840 - o**5\/40 + o**3\/2 + 3*o**2. Let w(k) be the first derivative of f(k). What is the second derivative of w(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide (-9)\/15*(-1 + -84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 0 + 0)*(4*a**4 + 7*a**3 + 20*a**3 - 25*a**3).\nAnswer: -8*a**5 - 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 20 = -5*p, -d + 2*d = 5. Calculate the smallest common multiple of p and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*j = -45*j + 60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.07  (b) -189  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 81915126 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from grwgwhhp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*i**2*l*u**3 - 2*i**2*l*u**2 + 6*i**2*l - 2*i**2 + 2*i*u**2 - 5*l*u**3 wrt u.\nAnswer: -96*i**2*l - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**2 - 4*p**2 - 2*p**3)*(0*p + 0*p - 4*p) + 4*p**4 + 0*p**3 + 0*p**3.\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/((-6)\/(-4) - 2). Suppose 32 = 6*a - x*a. Suppose a*n = 13*n + 9. Solve -7 = -2*r + n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 44 + -3 - (2 - 1). Suppose w - x = -3*w + 4*g, 0 = -4*w + 3*g + 43. Factor r**4 + 4*r - 3*r - w*r**3 - 2 + 4*r**4 + 9*r**2.\nAnswer: (r - 1)**3*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -4*r**2 - r - 8. Let a(d) = 3*d**2 + 5*d + 7. Let j(y) = 3*a(y) + 2*t(y). Calculate j(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((132352\/(-1410))\/(-352))\/((-5)\/20*2\/5)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*c - 3*y, -5*y - 1 = -10*c + 10*c + 5*c + 24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -3. Let o be 26 - 0\/((-4)\/2). Let g = o - k. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5080*j**2*u**3 + 339*j**2*u**2 - 15376602*j**2 with respect to u.\nAnswer: -15240*j**2*u**2 + 678*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149*i - 665 = 114*i. Solve -7 + i = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a4 (base 14) to base 7.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, o: 3, t: 3}. What is prob of sequence oo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in -3\/7, -6\/11, 68\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.29 - -0.15. Which is the third biggest value?  (a) 0.1  (b) i  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1204 * 60.\nAnswer: -72240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pvmm when four letters picked without replacement from appvvmmpp.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -26, -0.05, 385, 6\/19, 5\/2?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 319233 or -2.145?\nAnswer: -2.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 11*l + 24. Suppose -3*c + 59 = -5*m, -2*c + 44 = -4*m + 2*c. Let p be q(m). Let t be p\/8 + 175\/(-100). Which is greater: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -968 = 32*b - 1840 - 1976. Calculate the remainder when 983 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -583 at least -583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2122 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 3:07 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -389000 (base 11) to base 15\nAnswer: -c1625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2135  (b) -2683  (c) -4  (d) 3  (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1786*u + 2238 wrt u.\nAnswer: -1786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 125*f**2 + 529*f**4 - 888*f**4 - 6*f**3 + 8211 - 64*f**2 - 61*f**2 with respect to f.\nAnswer: -1436*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 5:40 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 296. Let m(q) = 77*q. What is w(m(z))?\nAnswer: -5929*z**2 - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*o**2 - 2*o - 346*o**2 + 95*o**2 + 153*o**2 + 2*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159 = 12*x + 39. Let h be 4\/10 + (-24)\/(-15). What is the highest common factor of x and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.91 + -3?\nAnswer: -4.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/736)\/((-6)\/4)*4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 0.3  (b) -0.3  (c) -1\/69  (d) -1  (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c + 1. Suppose -2*u + 0 = -2. Let q(r) = -2*r - 2. Let n(d) = u*l(d) - q(d). What is the derivative of n(m) wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.139, 5, 75 in descending order.\nAnswer: 75, 5, -0.139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5336 and -228.\nAnswer: -1216608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i - 15. Let v be y(10). Suppose -3*a + 4*a + 3 = 0. Let s = a - v. Solve 9 = -t - s*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -154\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 1 - (-18 + 8 + 5) - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 5  (b) -4  (c) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (20\/4 + 1)\/((-4)\/102). Is (-70788)\/r - 4\/6 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 4*l + 8870 = l, 3*b - 8880 = -3*l. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17571*t - 236259 - 43451 - 636709 = 190554 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**5\/60 + 7*y**4\/12 - 2*y**3 - 3*y**2. Suppose 4*g - 24 = 3*p + 17, 29 = 4*g + p. Does 18 divide k(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 5 + 7 + -16 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + 4 + (-14 - (-17 + 11) - 0).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*m + 99*m**2 - 10*m - 6*m.\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-209 - -218) + 2 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {p: 1, d: 18, x: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 30334*c - 2. Let t be w(3). Suppose n - t = -0*n. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3*s**2 - 5*s - 4. Let a be k(-3). Suppose 4*v - 2*v - 8 = 0. Find the third derivative of -17*p**4 + p**2 - 18*p**4 + a*p**v wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1691622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.005 and 4.3?\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-4))\/(2\/(-4)). Is (4\/4)\/(s\/(-21)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15710 smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) 201  (c) 15  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 137, 126, 115?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -1 - ((-2 - 2) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 0.216, -1.171?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.11  (b) 0.3  (c) 4\/495  (d) -1\/5  (e) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 6*z + 7. Let m be d(8). Suppose -i - 15 = 4*i, 2*u - 5*i = m. Suppose 32 = u*l - 0*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5305342 centuries in decades?\nAnswer: 5.305342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -3. Let x = -9 + 6.8. Let y = -2 - x. Which is the second biggest value?  (a) -5  (b) y  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.5713734 rounded to one decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 805 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -125357, -250667, -375927, -501137, -626297, -751407, -876467?\n\"Answer: 25*y**2 - 125385*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen quarters of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 5, 5\/3, -1\/3, -0.2, -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21032\/57 - -369. Which is smaller: 0.5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32318088 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -s - 4*j, 7*s - j - 44 = 4*s. Let u be 61\/7 + 4\/s. Suppose 2*q = -q + u. Put q, 4, -3 in ascending order.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11147018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/7, -2\/11, 206, 4\/5, -1\/8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 532746 (base 13) to base 12.\nAnswer: 79b233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1626 times -0.2\nAnswer: -325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 95335, 190649, 285963?\n\"Answer: 95314*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*(1 - 4 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 0.412381.\nAnswer: -0.0824762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.01 - -0.05. Let l = -3337.59 - -3329.59. Which is the smallest value?  (a) 0  (b) -6\/7  (c) l  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18131831 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -19*d**4*l + 10*d*l + 16*l + 2 wrt d?\nAnswer: -76*d**3*l + 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 88019693, 88019692, 88019691, 88019690?\n\"Answer: -i + 88019694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 15 = -23. What are the prime factors of 28\/(-112) + (1721\/4 - c)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -911 + 908. Let y = 3.57 - 0.07. Let s = -3 + y. What is the smallest value in l, 5\/3, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -43  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3 = -0. Let o be v\/20 + 33\/44. Let r = 5.8 + -0.8. Which is the third smallest value?  (a) o  (b) 0.2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8736)\/21)\/52*(-69)\/(-12)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*l + 289 + 101. What is the greatest common divisor of 20 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 3:46 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4178270767 to two decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 699*x**2 - 173*x + 2?\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-6) + -6 + (-339)\/18. Let l be (-3 - -5)*86\/4. Let m = l + a. What is the remainder when 34 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 9\/4, 5, 3116031?\nAnswer: 3116031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - -19. Solve -i - v*i = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11044 and 67268.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -415*s + 106*s + 103*s + 107*s + 104*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -60632, -4, -11 in decreasing order.\nAnswer: -4, -11, -60632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 - 480*q + 10800.\nAnswer: 4*(q - 90)*(q - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, y: 2, p: 7}. What is prob of picking 2 p and 2 y?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= -2\/1834747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -1420*t - 6. What are the prime factors of o(-12)?\nAnswer: 2, 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/8)\/((-5)\/((-240)\/162))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -1689\nAnswer: -7\/1689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n - 1. Let g(c) be the first derivative of c**2 - 2*c + 4. Give 3*g(t) - 4*y(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/((sqrt(8)*-3 + sqrt(8))*-3).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5755 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, g: 6, k: 2, y: 1}. What is prob of sequence ge?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*h**3*j*t + h**3*j - 4265*h**3*t - 2*h**3 + 47*h**2*t - 7*h**2 + h*j + 9*h*t + j*t + 3*t wrt h.\nAnswer: 12*j*t + 6*j - 25590*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from {w: 7, e: 7, l: 2}.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1387386 is divided by 13752?\nAnswer: 12186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 7*b**2 + 12*b + 8. Let h be g(4). Is 3 a factor of -104*h\/(-56) - (-2)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 107 + -62. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = 2*o + 4, 5*s - 1231*o = -1227*o + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -6*c**2. Let n(w) be the third derivative of -7*w**4\/12 - 91*w**2. What is n(l(i))?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3798499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24736 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 3*s**3 - 426*s**2 - 26232*s + 54144 = 0.\nAnswer: -48, 2, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132511*g - 132535*g = -234 - 30 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-14)\/(-2)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43252\/72095 - -1\/14419. Which is the second smallest value?  (a) -3\/2  (b) -512  (c) 3  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-215369)\/(-63) - 28\/18. What is the highest common divisor of 357 and r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 AM and 7:23 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 9 = 0, -100*u + 2 = p - 98*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 1:37 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f - 4*f + 3*f**2 + (-8 + 2 + 0)*(-2*f**2 + 4*f**2 + 0*f**2).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9, k: 3}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -19, -27, -37, -49, -63, -79?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of p**3 - 123*p + 123*p + 2*p**2 - 2. What is the second derivative of g(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3343, -6716, -10101, -13504, -16931?\nAnswer: -20388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*y - 470*y + 1640 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 10 = -3*y. Suppose 14 + 11 = y*u. Find the second derivative of -4*m**2 + 3*m**2 - m**2 - m - u*m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 928508 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 771984865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2. Let x(q) = -9*q**2. Let v(c) = -36*c**2. Let u(m) = -2*v(m) + 9*x(m). Give r(u(j)).\nAnswer: 81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 9*x. Let f = 20 - 14. Let w(a) = -a. Let m(j) = -2*j. Let g(v) = -2*m(v) + 3*w(v). Determine f*g(t) - l(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -942205233*y**5 - 8098*y + 20012.\nAnswer: -18844104660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i - 9*i + i + 6*i. Let t(r) = 7*r - 2. Calculate p(t(y)).\nAnswer: -7*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1824 divided by -304?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52 - (51 + -213)) + -47.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*m + 2180 = 10706 for m.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 16 + (-5865)\/459?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 81*l + 46*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 10*d - 1251. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4711 - -1?\nAnswer: -4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 31*k**2 - 2*k + 0*k + k. Suppose -172*b + 184*b = -12. Calculate the remainder when 94 is divided by l(b).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z = -10*z - d - 11, 4*d = -3*z - 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (9 - (-3 + 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23.144 + -23. Let z = c + -146.144. Let l = z - -146.00142. Round l to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.4  (b) 1  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 9*v + 6. Let b be z(-6). Suppose 0 = 5*i - b - 26. Solve -i = p + t - 4*t, p - 10 = -t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/143 + (-5)\/((-6820)\/1824) + -1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-201 - -195) + (-1 + 0 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (88\/55)\/(3*(-14)\/105*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 6:08 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*b - b - 2*b + (b - 11 - 4 + 13)*(1 + 1 + 0) as v*b + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 2*k**2 + 2. Let w(f) = 6*f**3 + 4*f**2 + 4*f - 14. Let l(z) = 5*d(z) + w(z). Calculate l(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.5 + 0.1. What is the nearest to -2\/3 in 5, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2138 at least as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5 - 3*h + 5*h**2 - 2 + 8*h - 2. What is the units digit of i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35325\/23 at least 1536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 - 12*z. Let p be v(12). Let o(f) = f**3 - f**2. Let n be o(p). Suppose -2*k - 9*k + 33 = n. Solve 5*u + d = 13, 0*d - d + k = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 14016 = -0*k. Let z be (k\/36)\/(1\/3). Suppose -4*i + 251 = 5*t, -z = -4*i - i + t. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -535*c. Let h(j) = -j**2. Determine w(h(l)).\nAnswer: 535*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.1, -4, -128135 in decreasing order.\nAnswer: 4, -0.1, -4, -128135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 108 and 1356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (153\/(-252))\/((24\/(-84))\/((-16)\/14)).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**2 + 11*p - 12. Let b(s) = -s**2 + s + 18. Let k be b(0). Suppose k*o - 17*o = 23. Is v(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 226*d**2*r**3 + 3*d**2 + 67*d wrt r.\nAnswer: 678*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4*x**3 + 6*x**2 + x + 38. Let l(v) = v**3 - 2*v**2 - v - 3. Calculate -3*l(r) - o(r).\nAnswer: r**3 + 2*r - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -255*z - 66330. What is d(-260)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 175*r**2. Let n(x) = -11*x**3 - 2*x**2 - x. Let i be n(-1). Let b = i - 8. Let k be j(b). Round k to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195286 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 7*a - 287 = 5*v, 0 = 2*v + 3*a + 101. Let k be (-10)\/4*44\/v. Suppose -4*m = -4*o + k*o - 668, 0 = m - 4*o - 167. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -2, 2, -134, -4, 4, -7 in descending order.\nAnswer: 9, 4, 2, -2, -4, -7, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*x - 110*x = 2*m - 12, 5*x = -4*m + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/2)*u**(1\/40)*(u**26)**(-20\/11) assuming u is positive.\nAnswer: u**(-20569\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23827 is divided by 11904.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qkevjfkeqqje. What is prob of sequence fj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 2)*(1 + 2 - 2)*(-4 + 1 + 1 + 2*j) + 49*j - 48*j + 49*j.\nAnswer: 56*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l - 2. Suppose -5*c = -64 - 31. Let k(s) = 11 - c + 7. Determine -3*k(x) + u(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325149\/(-2)*(-40)\/140 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {d: 2, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s**3 + 4*s**2 + 4*s - 2. Let g(v) = -9*v**3 + 11*v**2 + 11*v - 6. Let r(n) = -62*n + 1871. Let c be r(30). Calculate c*j(z) - 4*g(z).\nAnswer: 3*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 9 = 2*n. Let r = 2 + n. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 11.241318611 and -5.\nAnswer: 6.241318611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(5) - (-1 + sqrt(80)))**2 + -3.\nAnswer: -141 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.1 + 2.8. Let t = h - 1.2. Which is the biggest value?  (a) 0.4  (b) -4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -259504225*s**2. Let y(b) = 2*b**2. Calculate y(h(q)).\nAnswer: 134684885585701250*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 7:21 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11260293713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 220 - 221. Let r = -12 + 19. Let m be ((-2)\/r)\/(-1*2). Which is the nearest to z?  (a) 5  (b) m  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -411 - 306 = -270*b + 31*b. Solve -27\/4*u**b - 105\/2*u**2 - 357\/4*u + 45\/2 = 0.\nAnswer: -5, -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 6*d + 524. Suppose 2*b = d - 11. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + 7*x + 7. What is the tens digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**3 + 2*y**3 - y**3)*(1 + 1 - 3 + (1 - 3 + 4)*(0 + 0 + 1) - 1 + 0 - 1 + 1 + 1 - 1 + (-3 + 2 + 0)*(2 - 3 - 1) - 1 + 6 - 3).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 + 16. Solve z*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9734.287 litres in millilitres?\nAnswer: 9734287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**2 + t**2 - t**2 + 3*t**2 - 4*t**2 + 0*t**2 + (t + 2*t - 4*t)*(-2*t + 0 + 0) + (-6 + 4 - 8*t + 5*t)*(0*t + 2*t + 0*t) + 0*t - 32*t**2 + 0*t.\nAnswer: -35*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 218 + 0*s**3 + s**3 - 99 - 212.\nAnswer: s**3 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.2 - -3. What is m rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**0)**(1\/57)*(f*f**0)**(-41))\/((f*f**(-2\/3))**(-26))**(-2\/37) assuming f is positive.\nAnswer: f**(-29140\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1299, 3922, 7879, 13176, 19819, 27814, 37167, 47884?\n\"Answer: a**3 + 661*a**2 + 633*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*l - 98 = 2*l. Suppose -m - 24 = -l*m. Sort m, -2, -4, -1 in decreasing order.\nAnswer: m, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3928787?\nAnswer: 73, 53819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 2*n - 12. Suppose -n*p + 188 = 68. Suppose 6*s - s = p. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.08 + 0.01. Let i = -4.09 + s. Which is the third biggest value?  (a) 0.04  (b) i  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(-2\/7)*o))**(1\/22)*o**(1\/11)*o*o\/(o*o*o**3\/o) assuming o is positive.\nAnswer: o**(-146\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 24 = -2*o + 87, 3*o = 4*x + 107. Calculate the remainder when o is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-156)\/(-26) + (-72)\/15 + -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*o**2 - 56*o**2 - 52*o**2 + 240*o**2 - 56*o**2 - 28*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, t: 10}. Give prob of sequence ttg.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 87 - 79 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/40*(-2 - (-3)\/2). Sort -25, 2\/7, c.\nAnswer: -25, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(171) - (sqrt(19) - (sqrt(304) + -2*sqrt(304))) - ((-3*sqrt(171))**2 + -2).\nAnswer: -1537 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27 and 1323?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -17*l + 19. Give y(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*g**2 + 8 - 8 - 17*g**2.\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 5*l + q, 4*l - 2*q - 2*q - 36 = 0. Let b(c) = -c**3 + 16*c**2 - 16*c - 2. Is b(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 630152444?\nAnswer: 2, 43, 131, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000007338675 rounded to seven decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/9)\/(3960\/594).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*f + 18 = -4*t, f = 5*t + 18. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 53*f**3 + 6*f**2 + 5*f. Let n be d(5). What is n rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2964 is divided by 970.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2200121 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*m**4 - m**3*o + 2*m**3 - 5*m**2*o + m + 2*o wrt m?\nAnswer: -72*m - 6*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -4*g**4 - 32*g**3 - 20*g**2 + 152*g - 96 = 0.\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 - 6*m**2 + 7*m + 4. Let t be h(-7). Solve -4*w = t + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of l**5\/20 + l**4\/4 + l**3\/3 + 8*l**2. Let j(m) be the first derivative of n(m). What is the units digit of j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/7))**(2\/3)*a**(-4)\/a**(-4))\/(((a**7*a*a)\/a)\/(a*((a**(-2)\/a)\/a)\/a))**(-1\/11) assuming a is positive.\nAnswer: a**(296\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*n + 2*n - 10*n + 1 - 34*n - 26*n.\nAnswer: -60*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4526, -8974, -13342, -17630, -21838?\n\"Answer: 40*q**2 - 4568*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1092 and 864?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 36.85554 and 9251.\nAnswer: 9287.85554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 7*a - 7 = 0, 0 = 99*o - 94*o + 5*a - 5. Factor 0*h - 2\/5*h**3 - 2\/5*h**4 + 0 + o*h**2.\nAnswer: -2*h**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 25*k**2 - 12*k**2 - 2*k - 14*k**2 - 2*k**3 as g*k**2 + s + t*k**3 + n*k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 2, 235, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -9*w**2\/2 - 130. Let k(z) = 10*z. What is 2*k(y) + 3*m(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -4*y + 70. Let d be o(0). What is the greatest common divisor of d and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2*p - p = -191, 0 = -3*t - 3*p + 282. What is the first derivative of -6*s**2 + 201*s**3 - 201*s**3 - t - 7*s**4 wrt s?\nAnswer: -28*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12240 + 4881 = -123*x + 3096 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -1302*h**2. Let p(a) = 2*a. What is p(m(g))?\nAnswer: -2604*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11580380 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 u when three letters picked without replacement from uawua.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14353?\nAnswer: 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, y: 12}. What is prob of picking 1 y and 1 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 383 divide 7952612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -733*n**3 + n**4 + 18*n**2 - 3*n - n + 716*n**3 - 2 + 36*n**2 + 3*n to r*n**2 + g + s*n + m*n**4 + b*n**3 and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2088.3668 - -2088. Round j to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34259*v = -5*t - 34263*v + 12, 0 = -5*t + 3*v + 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 982166, 3928676, 8839532, 15714734, 24554282, 35358176?\nAnswer: 48126416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**3 + 33*j**2 + 7*j - 32. Let k be d(-16). What is the highest common factor of k and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of -71*i**3\/2 + 57*i**2 + 2*i - 70. What is the tens digit of q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 3*l + 15. Find the common denominator of (-70*l\/(-6))\/(-9) and ((-2)\/(-1))\/((-28)\/94).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, k: 7}. What is prob of sequence kk?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*z - 45 = 20*z. Suppose 9 = 3*x - d, 4*x + 5*d = 3 + z. Suppose 5*s - x*s - 14 = 0. Is -3 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*s = 13*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Convert -3110 (base 8) to base 11.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + p**2 + 2*p - 2. Let u be (-4 - -1 - -5)*-1. Let b be f(u). Suppose b*s - 23 = -5. Solve s*t = 2*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179 is divided by 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1020 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(90)*-1)\/(sqrt(6) - 2*sqrt(384)))\/(sqrt(5) + sqrt(20)*-6 - (sqrt(110)\/sqrt(2))\/sqrt(11)).\nAnswer: -sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**4 + 5*n**4 - 3*n**4 + (-2 + 2 + 2*n**2)*(-3*n + 3*n + 2 - 2*n**2).\nAnswer: -3*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/10)\/((-14)\/(-80)*-19*8\/532)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 928379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n - 143 - 29 = 5*u, -64*n = -4*u - 135*n + 68*n - 73 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1235 (base 16) to base 14\nAnswer: -19ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -106 + 109. Suppose 2*h = 3*s + 4*h - 70, 5*s = a*h + 123. What is s rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -168564 divided by 84282.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2150 - -275?\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 2. Let j(s) = s**3 - 2*s**2 + 4*s - 2. What is the smallest common multiple of j(2) and 6\/4 + t\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 359062936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) -58  (c) -6\/7  (d) -4  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -5*m**3 - 17*m**2 + 7*m - 13. Let y(r) = -10 + 0*r - 11*r**2 - 3*r**3 - 17 + 4*r + 19. Let v(l) = 8*y(l) - 5*z(l). Calculate v(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3*z. Let d(m) = 168*m**2 - 22. Give d(o(c)).\nAnswer: 1512*c**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 547564.\nAnswer: 2, 367, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -4*k - 26. What is the units digit of (k\/6)\/((-5)\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -132333130110 - -3?\nAnswer: -132333130101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**3 + 3*n**2 - 6*n - 3. Let w(u) be the third derivative of -u**6\/40 - u**5\/15 + 7*u**4\/24 + 2*u**3\/3 + 428*u**2. Give -4*v(z) - 3*w(z).\nAnswer: z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 312367 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41605243?\nAnswer: 5683, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.7 and -0.4?\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60 + (-1 - -1) - -7) + 4 + 6 - 3.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*a = 118*a + 198. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + p - 1. Suppose 4*t = -12, 9*z + 10 = 4*z - 5*t. Let b be r(z). List the prime factors of 15 - (0\/1 - b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -50*z. Let u be n(1). Let t be u\/13 + 14\/(-91). Let r(p) = 8 + p + p - 3. Calculate r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 2. Let u(g) = 4*g - 5*g - 9 + g - g. Let v be u(-7). Let c be w(v). Solve 1 = c*x - 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 352 and 346 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 322 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 11*n + 9. Let v be t(-10). Suppose -2*u + 11 = c, -2*u = 2*u + c - v. Let m(d) = -4 - 7*d + 2*d**2 + d - u - 3*d**2. Determine m(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5*2*6\/15. Let n be k - (4 - (6 + -3)). Let h = 9 + n. Solve h*p + 0 = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 AM and 2:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*w - 10*w - 17*w + 9*w as x + y*w and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 154, 160, 170, 184, 202, 224?\n\"Answer: 2*b**2 + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2*22\/(-110) - (-4 + 131884\/(-10)) is divided by 83.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1115.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1452?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 5*v**3\/3 + 7*v**2\/2 + 15*v + 40. Let r(z) = -2*z**2 - 3*z - 7. Determine -3*g(k) - 7*r(k).\nAnswer: -k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.8 - 0.7. Let z = 0.5 + n. Put -1, z, -3\/5 in ascending order.\nAnswer: z, -1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -13*x + 2. Let t be w(0). Suppose -267 = -t*f - 21. Calculate the greatest common factor of f and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -10. Let k(t) = -t**2 + 3*t + 3. Let h be k(4). Which is the third smallest value?  (a) x  (b) h  (c) -5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4683 + -4688. Let d = -16649\/29 + 574. What is the smallest value in j, 1\/4, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 798215 and 39215?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21262066169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.91204053 times -0.2?\nAnswer: -1.382408106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -122, -226, -412, -704?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-29)*h**(-2)*(h*h*h\/h**(-26)*h*h)**(1\/8) assuming h is positive.\nAnswer: h**(-217\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**3 + 16*z**2 - 41*z + 17. Determine c(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4e940 (base 16) to base 6\nAnswer: -10522024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 10:20 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 215422\/161565 - 2\/161565. Solve -29\/3*l**4 + f*l - 7*l**5 - 4\/3 + 17\/3*l**3 + 11*l**2 = 0.\nAnswer: -1, -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 10*h**2. Let j(t) be the first derivative of -1\/6*t**3 + 8 + 0*t**2 + 5*t. Let g(v) be the first derivative of j(v). Determine d(g(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70374413*n = 70374408*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (0 - 10) - (-9230 - -9201)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4237614, 8475226, 12712838, 16950450, 21188062?\nAnswer: 25425674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -24*p + 94. Calculate f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -13, 0.19, 1\/5, 137\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*m + 24 = 18*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -v**5 + 7 - v - 22*v**5 + 67*v**3 - 67*v**3 wrt v?\nAnswer: -460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2*a + 0)*(69 + 53 + 35) - a - 3*a + 2*a + (1 + 0 - 3)*(a - 3*a + 0*a) - 3 + 3 - 3*a to the form n*a + o and give n.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -10. Let d = o - -11. Suppose 2*c + 9 = 3*q, d*q - 3*c = -c + 15. Solve 0*y + 14 = -2*y + 3*i, -q*y - 10 = i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*c = -68*c - 9. Let s be c\/(-15)*152 - 12\/30. Suppose -1650 = 2*w - 7*w. What is the greatest common factor of s and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/99 and 119\/7286970.\nAnswer: 240470010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9\/18)\/(1\/72). Let k be (-114)\/(-27) + (-8)\/b. Suppose -2*t = -6*t, -f - k*t = -8. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 12. Which is the nearest to -1?  (a) 1\/8  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6410124 and 29190?\nAnswer: 32050620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -5*s + 24, 17855*a - 17851*a = 3*s + 32 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 + 8*u + 9. Suppose 3*k + 2*k - 10 = 0. Suppose h + 39 = -4*q, -k*q + 5*q + 36 = -3*h. What is the remainder when 33 is divided by j(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 1) + -19 + 15 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 9*b**4 - 22*b**3 - 11*b**2 - 38*b + 950. Let u(l) = -3*l**4 + 8*l**3 + 4*l**2 + 13*l - 317. Let n(d) = 4*c(d) + 11*u(d). Differentiate n(g) wrt g.\nAnswer: 12*g**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = -2*n - 130. Suppose n*y + 11 = 27*y. Calculate the remainder when y is divided by (13 - 1 - 3) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 20*h**3 - 35*h**2 + 5*h + 44. Let v(w) = 7*w**3 - 12*w**2 + 2*w + 15. Let b(s) = -6*o(s) + 17*v(s). Let z be b(7). Round z to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 9*j = 0. Suppose 10*h = -j*h + 3430. Is 49 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 3 + (-4*sqrt(832)*-1 - sqrt(832)) + -5)**2*1.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 18 - -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 13020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4057423414 to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 95\/(-19) - (-4 + 2). Let u(k) = 2 + 11*k - 3 + 6. Let f(i) = 6*i + 3. Give x*u(p) + 5*f(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -8950087 (base 10) to base 12\nAnswer: -2bb7547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2157 + 2177. What is the nearest to g in 1\/10, 0, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4 - (8 + 999\/(-126)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15759\/223 or 70?\nAnswer: 15759\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - 15\/(-9))\/((-327)\/1308*32\/18). Factor -d*r**3 - 5\/3*r**4 + 28\/3*r + 13\/3*r**2 + 4 + 1\/3*r**5.\nAnswer: (r - 6)*(r - 2)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/16 + (-1)\/1 + 2034669\/(-43176)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 4  (b) 4\/5  (c) 0.116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6 + (-5 + 145\/5)*14\/(-42). Suppose -4*b + 8 = -0*b. Let m(w) = -w**2 + w - 3 - 2*w - b*w. Give m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.33 + 0.17. What is the closest to 9 in r, -1, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -13. Let z(a) be the second derivative of 1\/60*a**5 + q*a**2 - a + 0*a**4 + 0 - 1\/18*a**3. Find g such that z(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1028677?\nAnswer: 13, 53, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c + 60 = 4*c. Let y be (1*(4 + -1))\/(93\/(-434)). Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 203150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 352487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 1:45 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**0\/q*q**(-2\/21)*q**(2\/5)*q**(-3) assuming q is positive.\nAnswer: q**(-388\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/5, 140, -3.12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20821.\nAnswer: 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*m + 29*m + 30*m + 25*m + 7*m - 121*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*g**2 - 5*g - 2*g**2 + 5*g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 23 = -12. Let v = -28404 + 28414. What is the greatest common divisor of q and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q - 1. Let s(t) = -t + 12. Let b be s(10). Calculate n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence usa when three letters picked without replacement from uffasaffffffssu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4214259 or -4214273?\nAnswer: -4214273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/7 - ((-30 - -31) + -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/3)\/q)\/q**0*q**(-1\/11)\/q**(-1))**(-9) assuming q is positive.\nAnswer: q**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 113 and 22?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -84*p**2 - 3*p. Suppose 0 = -n - 2*c - 2, 0 = 4*c - c. Let k be h(n). Is (-2)\/(6\/3) - k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -167*t**2. Let g(j) = -51*j + 36*j - j**2 + 15*j. Calculate g(c(s)).\nAnswer: -27889*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-24) + (-2)\/8. Let j = 112.19 + -109.19. Which is the second smallest value?  (a) t  (b) j  (c) -0.2  (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/4*((-54)\/(-15))\/3. Suppose -2*x + h*i + 503 = 0, -249 = 2*x - 3*x + i. What is the derivative of 147*j - x*j + 131*j - 31 wrt j?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 4:41 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 746 a factor of 254430014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (2 - 4) + 8 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 667707953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1911?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -4*y + 72, 2728*v - 2736*v - 192 = -5*y for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 523012 (base 6) to base 5.\nAnswer: 2322003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5.65845 years?\nAnswer: 67.9014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 147\/(-343) + (-510)\/35.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 5*a = -125, -a + 68 = x - 69. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 27. Let v = 7 - u. Let a be 1 - -2*2\/(-4). Solve 15 + a = v*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-20)\/(-6) - 20\/5. Let g = -42 - -62. Let q = 19.9 - g. Which is the third smallest value?  (a) f  (b) q  (c) -0.4  (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -2*n - 2*a - 138, -4*n + 4*a - 260 = 0. Let u = n - -356. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 12  (c) 1\/3  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 6*p**2 + 38*p + 49. What is r(-8)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2 + 9*s - 14. Let t be c(9). Let u = t + 328. What are the prime factors of u?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 258293 plus 316781?\nAnswer: 575074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10\/13?  (a) -15  (b) 5  (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1781, -651, 2\/7 in descending order.\nAnswer: 2\/7, -0.1781, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1706826*c**4 + c + 6461969 wrt c?\nAnswer: 6827304*c**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of y**5\/300 - 17*y**4\/60 - 12*y**3\/5 + 495*y**2. Suppose z(u) = 0. What is u?\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*m - 3*m + 4*a - 6, 2*a + 24 = -3*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*h*y**3 - h*y**2 - 8*h*y + 2*h + y**4 - 5*y wrt y.\nAnswer: -30*h*y - 2*h + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4314 < 4190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m**3 - 10*m**3 + 0*m**3 + (1526*m + 7*m**2 - 1526*m)*(-3*m + 2 - 2) as l + n*m**3 + h*m**2 + w*m and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d + 6. Let t be b(3). Put 4, t, 1 in increasing order.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 760 divide 56515989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 809, -3, -3\/8, 2687 in descending order.\nAnswer: 2687, 809, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 31323321 (base 5) in base 8?\nAnswer: 775736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/8*-18*(-19)\/1026?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 + h**2 + h + 1. Let f(q) = 15*q**3 - 4*q**2 - 4*q + 14. Let n(k) = k**3 - k**2 - k + 1. Let o(u) = 2*f(u) - 18*n(u). Determine o(s) - 10*y(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {m: 2, h: 2, l: 8, j: 6}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 80788.31ml?\nAnswer: 80.78831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1121, -1416, -1907, -2594, -3477, -4556, -5831?\n\"Answer: -98*r**2 - r - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 243371678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 10. Let m(s) = s**2 - 3*s - 6. Let x be m(n). Suppose 0 = -3*g - g + l + 335, 0 = -g + x*l + 80. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29457969 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 15*d - 7. Let o(j) = -15*j + 8. Let r be (2 - 11)*4\/6. Let c(t) = r*y(t) - 7*o(t). Is 13 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1332 - -2?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 0 = -2. Is 45 - (4\/g)\/2 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -51 or -47?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*1*sqrt(540))\/(sqrt(48)*-3 + sqrt(12)))\/((sqrt(81) - 3*sqrt(81)*-6)*5).\nAnswer: 4*sqrt(5)\/1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/(-56))\/((-54)\/2457)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 13) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, l: 7, i: 2}. Give prob of picking 1 n and 1 l.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**5 - 2*j**3 + 2*j**3 + (21*j**3 - 21*j**3 + 3*j**4)*(2*j - 1 + 1) + 4*j**2 - 2*j**5 - 4*j**2.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 132, 244, 348, 438, 508, 552, 564?\n\"Answer: -y**3 + 2*y**2 + 113*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**4 + 116*w**3 + 420*w**2 - 22932*w.\nAnswer: -4*w*(w - 21)**2*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 220 take away -0.0284?\nAnswer: 220.0284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44828 is divided by 8964.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 324 divided by -108\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5\/13  (b) -20  (c) -2\/477\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 175 and 275?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r**4 + 4857*r - 4862*r + 4*r**2 + r**3 - 3*r**2 as c*r + t*r**2 + p*r**4 + f + z*r**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165465.\nAnswer: 3, 5, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 26421304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q + 25*q = 102 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p**3 - 3*p**2. Let u(i) = -2*i**3 - 2*i**2. What is -4*d(y) + 6*u(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1105\/75 - 14)\/(8\/(-24))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l - 47*l + 53 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28160 and 8960?\nAnswer: 197120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-148*t**2 - 254*t**2 - 325*t**2)*(-3*t + 10 + t - 7).\nAnswer: 1454*t**3 - 2181*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (252\/(-196))\/(((-2*2)\/4)\/(6 - 4))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 587029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1911\/(-43953)*3\/(-1).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 2*o + 25. Let p = o + 9. Solve 7*b + 4*v + 15 = 2*b, -p*v + 3 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2044508 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-5)\/5*-9)\/((-1)\/(-6)). Let i be -3 + (-5)\/20 + p\/(-8). Suppose -48 = 28*x - 24*x. Are i and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 33, -138?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 1 - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-18 + 828\/45)\/(0 + 3\/210). What is the highest common divisor of 2219 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -20*p**3 - 14*p**2 + 20*p + 14. Let v(m) = 7*m**3 + 5*m**2 - 7*m - 5. Let k(t) = -6*j(t) - 17*v(t). Solve k(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 114\/22 + (-6)\/33. Suppose 0 = -2*h + 5*h - 3, -d = a*h - 17. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -181011514*a**3 - 67418792 wrt a?\nAnswer: -543034542*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 670 and 47706345.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*r + 518 = -19*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 44730, 178943, 402640, 715827, 1118510?\n\"Answer: i**3 + 44736*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h - 4. Suppose 4*r - 4 = 8. Suppose 0 + r = -n. Let x be p(n). Solve -2*d + 8 = -4*d + 2*q, x*d = -4*q + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1376864919.\nAnswer: 3, 3823, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -83663 divided by 195\nAnswer: -83663\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2141, 4, -12, 5, 6.\nAnswer: -2141, -12, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 80*y - 787 + 67 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(100)\/sqrt(4))\/sqrt(5) - ((sqrt(5)*-2 - sqrt(5)) + -4)) - (-5 + 0 + sqrt(320)*2))**2*-1.\nAnswer: -2001 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 AM and 6:26 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 y when three letters picked without replacement from {e: 6, n: 3, y: 1, d: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 18 = -2*o, -3*o = -2*c - 4 + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, -30, 7386 in increasing order.\nAnswer: -38, -30, 7386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(44)*2 + sqrt(44) + ((sqrt(77) + (sqrt(77) - 1*sqrt(77)))*-2)\/sqrt(7) + -5)**2.\nAnswer: -80*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3363 - 3183 = 2*k. Let y(c) = c**2 + 12*c + 16. Let h be y(-11). Let v be (h - -1)\/(6\/9). What is the greatest common divisor of v and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 6:55 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*x**3\/5 - 134*x**2\/5 - 468*x\/5 + 162 = 0. What is x?\nAnswer: -9, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 255 - 251. Find the second derivative of -26*t**4 + 29*t**o + 45*t**4 + 78*t wrt t.\nAnswer: 576*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.25986 < -171\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20115334 + 30?\nAnswer: -20115304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**4 + x**2 - x**2 - 4*x**4 + 5*x**4 + 8*x**4 + (2*x - 5*x + 4*x)*(-x**3 - 5*x**3 + 3*x**3).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 97*u**2 + 5*u**2 + 2.\nAnswer: -92*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41316?\nAnswer: 2, 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2492291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-3)*4\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21954 less than 0?\nAnswer: -21954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9466117*b*n**2 + 3020834*n**2 wrt b?\nAnswer: 9466117*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 3 - 1992)\/(1 - 2). Let r = o + -1258. What are the prime factors of r?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001368 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -181*s - 203*s + 580*s - 197*s + 7. Suppose 5*d - 8 = -3*l, -2*d + d = 2*l - 17. Suppose 0 = 6*j - 5*j - l. Calculate i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -118\/161 - -30\/23. Which is the biggest value?  (a) v  (b) -0.9  (c) -0.4  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of q**5\/60 + 2*q**3\/3 + 2. Let d(y) be the third derivative of z(y). Let m(w) = 2*w - 6*w + 3*w. What is m(d(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3 + 155*m**2 + m + 160*m**2 - 341*m**2. Let b be n(-2). Let o = -221\/2 - b. Is o greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*1*sqrt(110) - sqrt(110)) + sqrt(110) + 1*sqrt(110)*1)*-5)\/((sqrt(40) - sqrt(200)\/(2*sqrt(5)) - sqrt(40)) + 5*(sqrt(640) - sqrt(40))).\nAnswer: -15*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 781 and 117418664.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2. Let p(i) be the second derivative of 0*i**3 + 0 - 65*i + 1\/2*i**2 - 59\/12*i**4. Calculate p(k(f)).\nAnswer: -59*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -121*a*f*g - 2*a*f + 2*a*g**2 + 625*a*g + 2*f*g**2 + 4*f*g with respect to f.\nAnswer: -121*a*g - 2*a + 2*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.13 and 583.\nAnswer: -75.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 916033006?\nAnswer: 2, 7, 23, 1289, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*h + 8. Let y = 0.6 - -4.4. Which is the smallest value?  (a) y  (b) -1\/2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 + 8*z - 6. Let r(d) = -3*d**2 + 12*d - 8. Let p be r(4). What is v(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (7 + (0 + 6 - 20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 4*f - 1 = 0, 3*f + 1 = 4*x. Let h(c) = -2*c + 6. Let s be h(3). Sort s, -5, x in descending order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -439*k**2 + 1469 - 2049 + 580.\nAnswer: -439*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -14. Is 9 a factor of 142\/k + 5\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 220*p + 1. Let m be u(-2). Let n = -194 - m. Is 5 + -2 + n - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -90 + 123. Suppose -32*u - 7 = -n*u. Solve 12 = -5*k + u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 9 - 19*k**2 + 42*k**2)*(-4 + 0 + 3 + (1 + 3 - 3)*(-5 + 2 + 7)) to s*k + t + h*k**2 and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of z**4\/8 - z**3\/3 - 11*z**2\/2 + 3*z. Let g(o) be the first derivative of i(o). Determine g(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20718300 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -67 + 109. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 1739248709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -118957.849.\nAnswer: 59478.9245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p - 46*y - 42 = 166, -58*p + 5*y = -57*p - 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -937*k + 7478. What is b(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of -2*d**3\/3 + 1423. Let f(z) = -3272*z**2. Calculate g(f(b)).\nAnswer: -21411968*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2363\/6 or -395?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of z**7\/42 + 23*z**6\/15 - z**5\/20 - 23*z**4\/6 + 1073*z. Factor m(v).\nAnswer: v**2*(v - 1)*(v + 1)*(v + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.31 - 148.69. Let i = t + 172.2. Let x = -45 + i. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 19, 1\/4, -1 in descending order.\nAnswer: 19, 1\/4, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 118 - 46 = 0. Let m = 22 + x. Suppose -2*b + 20 = m*c, 0 = 2*c + 4*b - 0 - 10. What is the lowest common multiple of 34 and c?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10532, 20971, 31410, 41849, 52288?\nAnswer: 62727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/(-10)*(6 + -1). Let j(k) be the first derivative of k**3\/3 + 7*k**2\/2 - 2*k + 76. Give j(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 1635 = a + 1615, -a + 32 = 5*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -69.6 - -64. Let k = m - 2.4. Sort 0.3, k, 0.4.\nAnswer: k, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5021.344ml in litres?\nAnswer: 5.021344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 - 5 - (-4 + -1963) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + 79 + -31 + -36.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 19*f + 3. Let r(g) = 7*g + 1. Let h(j) = 11*r(j) - 4*u(j). Suppose -5*z + 11 = -19. Determine h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*r - 12*r + 107*r - 31*r - 21*r - 14*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/13?  (a) 376  (b) 5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 569, 1151, 1747, 2363, 3005, 3679, 4391?\n\"Answer: c**3 + c**2 + 572*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -41\/3, 1\/11, 2\/11, 0.5 in descending order.\nAnswer: 0.5, 2\/11, 1\/11, -41\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18431, -18422, -18401, -18362, -18299, -18206, -18077, -17906?\nAnswer: -17687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 5*d - 9. Let c be k(-7). Let m(j) be the second derivative of j**5\/20 - j**4\/2 + 7*j**3\/6 - 7*j**2\/2 + 3*j. What is m(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2061, 745 in increasing order.\nAnswer: -2061, 0, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((63\/84)\/((-5)\/(-8)))\/((-157)\/(-6280)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/183504 and -71\/6200.\nAnswer: 142215600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32.7 + 32.9. Which is the second biggest value?  (a) -2  (b) -5  (c) y  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231686 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*n - 5*l + 14, 3*n + 9 = -3*l. Let s = n - 16. What is the least common multiple of 3\/12 + s\/(-4) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y. Let a be (5 - 4)\/(-1 + 2). Let b(o) = -o**2 - o. Calculate a*w(t) + 2*b(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**3)**(1\/21)*(u*u\/(u*u**0*u))**29 assuming u is positive.\nAnswer: u**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-y - 3*y - 2*y)*(-18 + 9 + 8)*(-1 + 6 - 1)*(-2 + 2 - 2) + 3 + 2*y - 3)*(3*y**2 - 3*y**2 - y**2) to p*y**3 + l*y + j + o*y**2 and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/6 + (-2)\/(-6). Let r(i) = -2*i**3 + 12*i**2 + 3*i - 18. Let w be r(6). Solve k*j - 3*j + 6 = w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 5*k + 34 = 0, 3*k + 9911 - 9893 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 135370375 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1952*b**3 - 3724297 + 3724297.\nAnswer: -1952*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19820135?\nAnswer: 5, 19, 23, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54266 is divided by 521?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 10:57 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2457745 divided by 5.\nAnswer: 491549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(243)*4)**2.\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -q + 21 - 35 - 57, 330*t - 6*q + 12555 = -3*q for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 385252 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 11*y. Let f be d(11). Solve 2*p = -f*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/7)*s**(-1\/7))\/(s**(3\/7)*s*s\/s**(1\/9)))\/((s**0\/s*s\/(s**3\/s))\/((s**7\/s)\/s*(s*s**4*s)\/s)) assuming s is positive.\nAnswer: s**(592\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 AM and 1:43 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 4*t**3 - t**2 - 5*t - 4. Let g = 111 + -108. Let f be d(g). Calculate the highest common divisor of 60 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + k = 3*y - 17, -18*y + 63 = -211*k + 215*k - 287 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 288319, 288320, 288321, 288322?\nAnswer: 288323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21579 and 28772.\nAnswer: 86316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5054 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 43*s**2 + 307*s - 10. Calculate a(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 - 17.6. Which is the smallest value?  (a) 4  (b) h  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-3\/2))\/r*r\/(r\/((r*r**2)\/r)))**(-6) assuming r is positive.\nAnswer: r**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -0.2, 3, 67\/13, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 359547.\nAnswer: 3, 119849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 4, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1240 + 1453. What is the highest common divisor of i and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5, -214, -563, -1052?\n\"Answer: -70*j**2 + j + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17920\/(-768) - (-2 - (-12)\/18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28190114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i = 15*i - 348456. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 - (0 - 0 - 268 - 0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 3239*n - 3234*n = -6*d - 70, 4*d - 2*n - 22 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 158682 and 19398.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22288 is divided by 76?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -52 + 2*h**2 - 1\/27*h**3 - 36*h. Factor j(u).\nAnswer: -(u - 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/18*(4\/(-3))\/((-680)\/765)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1342*h**3 - 119*h wrt h?\nAnswer: 8052*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 14, j: 5}. What is prob of sequence ll?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 9) + 9 + (-16)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2035 + -1797. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/15 + 2*q**2 - 18*q\/5 - 162\/5.\nAnswer: -2*(q - 9)**2*(q + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1530962*f - f**2 + 1530962*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**5\/7 - 32*q**4\/7 + 120*q**3\/7 + 1600*q**2\/7 + 500*q.\nAnswer: -4*q*(q - 7)*(q + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 9:37 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 43059009 and 14?\nAnswer: 86118018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a. Let v(w) = 8*w + 0*w - 4*w + 4*w. Let u(q) = -5*n(q) + v(q). Let b(k) = k. Calculate b(u(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 - (-49 - -57)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.01 - -0.04. Let x = 0.05 - q. Let w = -141 + 419\/3. Which is the closest to -1?  (a) -3  (b) x  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -24\/17?  (a) 5  (b) 0  (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 7:31 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/79206 and -49\/307?\nAnswer: 79206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 1 + 6*q + q**2 + 1 + 2 - 2. Let t = -24414 - -24408. Give b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i + 9. Let d(k) = 8. Let n(p) = 4*d(p) - 3*y(p). Let t(x) = -6*x + 10. Let g(l) = -5*n(l) + 3*t(l). Let c = 64 + -58. Give g(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 660\/(-8)*1824\/2280.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 4  (c) 62.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -631, 0.14, 14, -2 in increasing order.\nAnswer: -631, -2, 0.14, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (130\/4)\/((-15)\/(-6))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*((-2)\/2 + 3). Suppose -88 = -0*i - n*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + 4 + -17 + (60 - 4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from ississsiis.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t**2 + 103*t + 20. Let d be f(-30). Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -4, 19, 66, 143, 256, 411, 614?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 843622907\/4488 - 187973. Find the common denominator of -16\/1683 and i.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 + 1)\/((-1)\/4). Let i = 0.03 - 3.03. Let d = 2.6 + i. What is the closest to -2\/3 in g, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 5*k = -6, -6*z + 3*z = 3*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 5*b. Let l be g(-5). Let t(w) = -2*w - 9. Let j be t(-6). Suppose i - j + 1 = l. Solve z + i = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1591 and 11951333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 292059 - 210282533\/720. Calculate the common denominator of x and -69\/35.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 0*s = 0. Suppose -573 = -s*v - 3*v. Let j = v - 116. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/7)\/((-5)\/(-70)). Suppose v*i = -i + 25. Suppose 0*s + 5*s + 36 = 3*u, -4*s = -i*u + 34. Let g(l) = -l**3 - 5*l**2 + 6*l + 3. Calculate g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/15)*j**2)**43)**16 assuming j is positive.\nAnswer: j**(19264\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-1 + -4 + sqrt(112)*2 + 5)*-5*1 + 2)**2.\nAnswer: -11204 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (631 + 0)\/(3 - (9 - 7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**2 - 16*x + 30. Let z be b(5). Solve -9*w + w + 40 = z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1296?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64086 and 2580918?\nAnswer: 5826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0116 + 0.8976. Round j to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*u**2 + 61*u**2 - 20*u**2 - 10*u**2 - 18*u**2 - 1951 to t*u**2 + p*u + i and give i.\nAnswer: -1951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 4*x + 1249 + 315 = 0, 421 = c + 5*x. Let k = -348 + c. Let a = 5 + 7. What is the greatest common factor of k and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 + 5*y + 2. Suppose 4*h = 9 - 1. Suppose 2*f - 6 = h*j, -7*j + 3*j = -2*f + 14. Calculate t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 53104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -140300 divided by -6\nAnswer: 70150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 15e3 (base 15) in base 3?\nAnswer: 20110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**13*d*d*d**(-4\/5) assuming d is positive.\nAnswer: d**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1148463312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -116 - 230. Let s = r - 160. Suppose 3*u - 120 - 63 = 0. What is the remainder when u is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000166978 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-4\/5)\/z**(-7\/6) assuming z is positive.\nAnswer: z**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/13))**23\/((u\/u**1*u)\/u)**(-19) assuming u is positive.\nAnswer: u**(46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 41*q + 313. Give j(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 3 - 1)*(-7 + 3*o + 7)*(1 + 3 - 3) in the form h + a*o and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i + 56. Determine w(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {g: 1, t: 2, d: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 128156 by -199.\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -956 + 956 + 2*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from gkgkgkmfykfgf?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of 63*n**2\/2 + 150*n - 38. What is the first derivative of f(w) wrt w?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 - 18*l**3 + 40*l**2 - 24*l.\nAnswer: 2*l*(l - 6)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 100 - 87. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64854340 divided by -6.\nAnswer: 32427170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, o: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 4*n - 163. Give b(72).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 142130 - -22?\nAnswer: 142202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, -2\/17, 17, -9, -4 in decreasing order.\nAnswer: 30, 17, -2\/17, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 + 17. Let n be k\/(4\/4) + 0. What is the nearest to 1\/4 in 5, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5*u + 5 = 0. Find the second derivative of -4*t**2 - 1 + 2*t + u + t**2 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = o - 2. Suppose 0 = 5*v - 4*l + 18, 0 = -v + l - 2 - o. List the prime factors of (65 + 2)\/1 - v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -3, -0.1, -0.5, 0.04 in descending order.\nAnswer: 0.04, -0.1, -0.5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0739 - -3.2039. Let t = -3.1886 + y. Round t to 3 decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of -g**11\/11088 - g**7\/630 + g**4\/6 - 11*g. Let o(r) be the third derivative of n(r). Find the third derivative of o(a) wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -6583255\nAnswer: -658325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from {y: 7, u: 2, z: 3, i: 3}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by -5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*d + 18*d - 2030 = 0. Factor p**4 - d*p**3 + 37*p**3 - 4*p + 15*p**3 + 9*p**2.\nAnswer: p*(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -118652, -237148, -355644?\nAnswer: -474140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3319, -232, -17?\nAnswer: 3319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - -4. Let s = n + -13. Solve -s*v + v + 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1712.6583 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -3  (b) -4  (c) 0.4  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 108 + -145. Which is smaller: -38 or v?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f**4\/4 + 53*f**3\/4 - 3*f**2 - 23*f - 4 = 0. What is f?\nAnswer: -1, -2\/11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 63\/4. Let t = 630 - 600. Let i be (-45)\/(-6)*20\/t. What is the nearest to -0.2 in p, i, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 + -36. Let t = 38 + d. Suppose -n + t - 4 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -5*m + 5. Suppose -b + 5*w = 11, 6 = -2*b - 0*w + 2*w. Let x = b - -2. Let n(z) = x + 0 - z + 0. Determine -2*d(h) + 9*n(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -500*h + 752. Let z(l) = -250*l + 410. Give 6*n(y) - 11*z(y).\nAnswer: -250*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2308089590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + q**2 + (-q + q - 2*q**2)*(2 - 3 + 3))*(24 - 24 - 153*q) in the form j*q**3 + r + a*q + h*q**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**2 - 5*f + 4. Suppose 6 = -5*b - 14. Let g be v(b). Is 10*11 - (g + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -441 + 435. Let z(k) = 3*k**2 - 2*k. Let n(y) = y**2. Determine q*n(r) + z(r).\nAnswer: -3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i - 17. Let m(w) = -w. Let n(k) = -d(k) - 2*m(k). Let t be 14 + 0*2\/4. Let u be n(t). Solve 0 = u*f + 2 + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -4*d + 55. What is the units digit of c(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144666 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*j**2 - 9*j**2 + j - 5 + 36*j**2 - 15*j**2 to v*j + o + w*j**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 671188.\nAnswer: 2, 7, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5985928269?\nAnswer: 3, 89, 830341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -9479.\nAnswer: 4\/9479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -30 - 200?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 727049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 102*x = 106*x + 11, 5*l = -5*x - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14447 (base 14) to base 4.\nAnswer: -30100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, a: 7}. Give prob of sequence ppa.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -974*x**3 - 1340*x**2 + 973*x**3 + 1340*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-24)\/88 - (-530)\/330. Let l(z) be the first derivative of -1\/3*z**2 - h*z + 2\/9*z**3 + 2. Factor l(a).\nAnswer: 2*(a - 2)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-33)*s)\/s)\/((s\/(s\/s**(-28)))\/s)*(s**(-1\/14)\/s)**(4\/17) assuming s is positive.\nAnswer: s**(-506\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 102002*r + 20. Let w be j(-10). What is w rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1710)\/361*798\/84?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2.1614  (b) -0.5  (c) -0.1  (d) -2\/3  (e) 3\/4  (f) 1\/3  (g) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -7*z**6\/120 + 13*z**4\/24 + 4*z**2. Find the second derivative of n(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 1766 = r, -12*k + 594 = -11*k + 5*r. Calculate the highest common divisor of k and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -o**2 + 107046674*o - 2864747603615569 = 0.\nAnswer: 53523337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000163672 to seven dps.\nAnswer: 0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 3*d + 10. Let x be i(5). Suppose 3*t - 6*t + 168 = x. Suppose 6*l - t = 16. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 3 + 4 - 7 + 1 + (-1 + 1 + 2)*(-1 + 6 - 3))*(0 + 0 + i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 + 4*l + 6. Let g be q(5). Let k = -3 + g. Let v(p) be the second derivative of p**3\/6 - p**2 - 2*p. Calculate v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 6:04 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -12*f + 1. Let z(s) = 24*s - 2. Let q(d) = -5*w(d) - 2*z(d). Is 7 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1347647 at least -1347645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 - 1463*p**2 - 16217*p - 36. What is b(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 4. Suppose 545 = 50*j + 795. What is the smallest value in p, -1, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = 14*c - 65. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 19*t + 39. Let u be w(17). Suppose -5*z + 3*z + 20 = -4*q, -3*q = z + 15. Sort q, u, 210 in ascending order.\nAnswer: q, u, 210","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10056)\/(-120) - (-28 - (-402)\/15)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 10*u**2 - 5*u + 1. Let t be n(-3). Suppose 21*z - 23*z + t = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 39*g - 113. Determine x(41).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 6*l**2 - 3*l + 8. Let g be u(-6). Suppose -7*m = -6*m - 260. Suppose q = -3*q + m. Calculate the greatest common divisor of g and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gpgzzpgzppgggggz. What is prob of picking 1 p and 1 g?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - x = 1741 + 2712, 5*x - 2655 = -3*i. Let l = 12 - 10. Suppose -4*f + b + 1768 = -b, -2*f = l*b - i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3*q - 43 = 0, -5*u + 16*q - 15*q + 101 = 0. Calculate the remainder when 95 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.09 + 0.31. Suppose -w = 1 - 7. Suppose 33*v = 32*v + w. What is the nearest to 1 in i, v, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 441*i + i**2 - 466*i)*(-1 + 5*i + 1) - 2*i**2 - i**3 + 3*i**3 + 3*i**2 + (i**2 + 0*i + 0*i)*(i - 4*i - i).\nAnswer: -7*i**3 - 124*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5275 + -554?\nAnswer: 4721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5479 and 0.062.\nAnswer: -339.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kjo when three letters picked without replacement from wwojoppk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 545*h + 2710*h**2 + 368*h + 407*h + 854*h wrt h?\nAnswer: 5420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30772786 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -11  (b) 4\/5  (c) 5\/4  (d) 0.15152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.12 - 1.42. Let j = 1.043 + -0.043. Suppose 4*u + 2 = -2. Which is the nearest to u?  (a) j  (b) -2\/3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.486526511 rounded to three decimal places?\nAnswer: -9.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 12*h - 8. Let p be x(-11). Let s be 4 - (p + 1) - 1. Let j(y) = 0*y**2 + y**2 - 4*y + 3*y. Let d(r) = -12*r**2 + 10*r. Give s*d(l) - 10*j(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from cxictqtg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*s - 7*s - 8*s + (s + 6*s + 0*s)*(0 + 0 - 1)*(-2 + 3 + 0).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 7:21 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5 - -11) + -5)\/(2\/8). What is the second derivative of 6 + 13*q**2 - r - 2 - 32*q wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 184 - -50. Calculate the remainder when (5 - (-51)\/(-9))*v\/(-4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**13\/k)**(-18))**(-13\/3))**(-35))**(8\/5) assuming k is positive.\nAnswer: k**(-52416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from weseoewssooszsos. Give prob of sequence szse.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(4\/11)*s)*s)\/s*s*s*s**(13\/2) assuming s is positive.\nAnswer: s**(179\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -125 + -5 + 396 + -162?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bassbbw. What is prob of picking 1 b and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*s = -93*s - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 6:06 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/24  (b) 1\/2  (c) 0  (d) 128  (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 4.96. Let p = b + -4.96. Let l = 5.1 + p. Which is bigger: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7490 + 7496. Let c(x) = 7*x**2 + 7*x - 11. Let p(v) = 4*v**2 + 4*v - 5. Let h(b) = -3*c(b) + 5*p(b). What is h(d)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 13 + -13 + -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3398 + -3106. What is the greatest common factor of 365 and h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1227*n + 3*q - 42 = -1242*n, -2*n - 25 = -3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l**2 - 6*l. Let a(r) = 2*r. Let f(i) = -3*a(i) - g(i). Let v(y) = 5*y + 3*y - 4*y. Calculate v(f(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*a = 4*a + 462. What is the greatest common factor of 18 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-41)\/2 - (3 - (-14)\/(-4)). Let m = -518\/1287 + -6\/143. Which is the second biggest value?  (a) m  (b) d  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6967*r**2 + 6893*r**2 - 14459*r**2.\nAnswer: -599*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307180.\nAnswer: 2, 5, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 40525524 (base 6) in base 4?\nAnswer: 10123303330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (5 + -7 - 3\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -1  (c) -1\/67  (d) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*h + 132*h - 9*h - 4*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -75 and -6.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, n: 3, i: 1, e: 1, v: 1, p: 4}. Give prob of picking 1 s, 1 p, and 1 i.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, 3, 4.\nAnswer: -38, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 729971331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3491 + -0.0512237416?\nAnswer: 3490.9487762584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 4*f - f)*(4365 + 525 + 119 + 3379 - 518).\nAnswer: -15740*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 563 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xottxotxxxtxxttxx. What is prob of picking 4 t?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 0*v - 4*v - 75 = 0, w - 5*v = -44. Let a = -16 - w. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -4*v - 10. What is the smallest common multiple of 12 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3610068 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 5 - 4*h**2 + 4*h**2 - h**2. Calculate q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8162 and 153342992?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 20*p**2 - 33*p - 9. Let x(z) = -7*z**2 + 11*z + 3. Let d(y) = 6*g(y) + 17*x(y). Let n(q) = q**2 - 5*q - 1. What is 2*d(a) - 5*n(a)?\nAnswer: -3*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 80*r**3\/9 - 198139*r**2\/3 + 122691590*r - 234620825\/9 = 0.\nAnswer: 17\/80, 3715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*t = 45*t + 82*t - 638 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -2*s - 2*u + 5*u, -5*s + 70 = -4*u. Let l be 10438\/(-10) + (-2)\/s + 0. What are the prime factors of 1\/((-10)\/l) - 6\/(-10)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-11))\/((114342\/(-649))\/(-19)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*b + 330 = 0, 4*s + 5*b + 687 = 8*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, p: 3, f: 2, n: 5, a: 3}. Give prob of picking 1 n and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 17*y**2 - 11*y - 11. Let q(o) = 6*o**2 - 4*o - 4. Let d be (5 - 2)*((-4)\/(-3) - 0). What is d*c(w) - 11*q(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 937 is divided by 466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -1\/5  (c) -47072256  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -2.1116?\nAnswer: 1.8884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/149772889 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 33922553, 67845106, 101767659, 135690212, 169612765, 203535318?\n\"Answer: 33922553*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - r**4 + 0 - r**4 + r**4 + 2*r**4 + (-r**2 - 1 + 1)*(-r**2 + 2 - 2) + (r**2 - r**2 - 2*r**2)*(-2*r**2 - 3*r + 3*r) - r**4 - 2*r**4 + 0*r**4.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 3 - 1)*(0 + 1 + 0) - 1 + 1 - 1 + (-2 + 0 + 3)*(-5 + 3 + 0))*(1104*j - 1188*j + 63*j - 596) to l + a*j and give l.\nAnswer: 2384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -m - 2, -377*m - 5*y = -382*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**5\/3 - 7*t**4\/3 - 58*t**3\/3 - 44*t**2\/3 + 72*t + 96 = 0. Calculate t.\nAnswer: -3, -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6119 - -6212. Calculate the remainder when 320 is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -4*d - 1 - 8, -5*g = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000404 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9893825*z**2 - 2*z - 9893825*z**2 + 679*z**3 to the form x*z**2 + j + b*z**3 + q*z and give b.\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 86581347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*q**2 + 34*q**2 - 123*q**2 - 7*q**2 - 2*q**2.\nAnswer: -66*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/17, 33, -2, -5, 0.2, -0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20818 - 2*b**2 - 20818 - 120*b**3 + 19*b to z + v*b + u*b**3 + y*b**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (120*z - 64*z + 5 - 60*z)*(34*z**2 - 31*z**2 + 88*z**2) as a + r*z + n*z**2 + g*z**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -63 - -68. Let u be (-44)\/10 - (-2)\/v. Let q(n) = n**3 + 5*n**2 + 4*n + 4. Give q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1664 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 123215445 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 - 4696035?\nAnswer: -4696034.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-4340)\/16275*(-5)\/(-56)\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10b (base 12) to base 10.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -27641 + 1\nAnswer: -27640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -738 + 1970. What are the prime factors of q?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45524 (base 10) in base 2?\nAnswer: -1011000111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c (base 14) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1477 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4223*p + 37271 = s + 4221*p, -3*s + 2*p + 111777 = 0. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 301 is divided by 111?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 694328 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - g + 5*g + 40 = 0, 5*t = 4*g - 68. Is (-486)\/t - (-1)\/(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 3:53 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -155.4 + 162.4. Sort -0.02, 5, i, -3\/8 in descending order.\nAnswer: i, 5, -0.02, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100211102211 (base 3) to base 4\nAnswer: 233033200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 202513914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 3\/2*t**5 - 3\/2*t**3 + 0*t**4 + 0*t**2 + 0 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + 8*u + 6. Let s be b(-7). Let v(w) = w**2 - w. Let k(p) be the first derivative of -2*p**3\/3 + 3*p**2\/2 + 147. Determine s*k(y) - 3*v(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*j - 36 + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-6) - 5 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 - (3 + (-25 - -19) + 20 + -35).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 1\/463  (c) 4021  (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/12384 and 149\/12384?\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-30)\/(-8))\/((-135)\/(-108)). Suppose f*c - 2*a = 31, -a - 57 = -5*c - 3*a. What is the smallest common multiple of 163 and c?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 17 + 28. Suppose 45 = c*b - 0*b. Suppose -11 = -b*p + 14. Solve 0 = -3*o - o - p*u, 5*u = -20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10622764?\nAnswer: 2, 2655691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + 28\/26 - 110794\/(-403). What is the highest common divisor of n and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*q + 2*m - 24, m = 2. Suppose 6 = 3*k - 3. Suppose -k*j = q + 1. Put -4, -2, j in decreasing order.\nAnswer: -2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 113 + -71. What is the units digit of 20\/30*b\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-2))\/((-1)\/(-3)). Let h be x\/(-28)*(64\/24 + -8). Put -0.1, -5, h in increasing order.\nAnswer: -5, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -8*x - 5*x + 5 + 0 + 0*x - x**2. Let t be b(-13). Suppose -t*w - 14 = 5*q - 59, -5*q = 4*w - 41. What is the lowest common multiple of 6 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.5 - -1. Let j be (-24)\/(-10) + 6\/(-15). Let y be 1\/(-3) + 11\/15. What is the biggest value in m, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -16580*o + 232072. Give x(14).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35 + 38. Suppose 5 = -5*z, i*n - z - 2*z = 15. Solve -t + 6 = -3*t, -t = n*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*m - 19. What is the remainder when 23 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 2 n, and 1 l when four letters picked without replacement from tqnnzlzlllqqqqqnnqll.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 27*m**2 + 44*m + 120. Let q be z(-5). Let y = 31 - -1. Differentiate -q*u + 25*u**2 + y + 575*u wrt u.\nAnswer: 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/2*3\/(-9). Which is smaller: 0.05 or p?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2937 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 104*u**2 - 11*u - 8. Give p(-1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2758*i**2 - 10*i + 1784. Let j(n) = 4135*n**2 + 14*n - 2674. Let s(f) = -7*d(f) - 5*j(f). Differentiate s(t) wrt t.\nAnswer: -2738*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 26*y - 25*y. Suppose x - 147 = -4*p + 6*x, 0 = -5*p + 5*x + 180. Does 22 divide (p\/2)\/(y\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -52a700 - 78?\nAnswer: -52a778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.95 and 0.08.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c + 2. Let y(k) = k - 3. Let h(u) = 3*i(u) + 2*y(u). Let d(a) = -2*a**2 + 3*a**2 + a**2. Determine d(h(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -f**3\/6 - 8*f + 228. Let j(h) = 5*h**2 - h - 180. Determine i(j(s)).\nAnswer: -5*s**2 + s + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(77)*1)\/(1*sqrt(448)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2452 + 181447\/74. Which is the fourth smallest value?  (a) m  (b) 0.1  (c) -1\/7  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l + 1. Let m be x(3). Let r = 16.4017 + -16.5017. Which is the biggest value?  (a) -0.2  (b) r  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2583 = 4*a, 6*a + 8*j - 3*j = 3903. What is the highest common factor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (98\/(-147))\/(2\/3). Let t be 7 + -16 + (m + 2 - -3). Let w(f) = 4*f**3 - f - 9. Let c(z) = -9*z**3 + 3*z + 18. Calculate t*w(a) - 2*c(a).\nAnswer: -2*a**3 - a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1099, 1101, 1103, 1105?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13338876 + -2.\nAnswer: -13338878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 4*i + 4, 0*x = 5*x + 5*i - 10. Calculate the greatest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 743 (base 8) to base 9\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8156 + 8159. Let k = -4 - -3. Which is the smallest value?  (a) k  (b) z  (c) 4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 63510*x + 70. Let g be z(3). What is g rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-10))\/(15\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3901521\/14 at least 278680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {v: 1, r: 1, u: 3, d: 3, i: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 5  (b) -13036.54  (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 1. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 31ad - -197?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 11*i**2 - 9*i - 6. Let j be k(10). Suppose 2*l + j - 10 = 0. Solve -3*o + l*w + 3 = 0, -5*o + 0*w = 5*w - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -248 divided by 248\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -5190000 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of 0*r**3 + 92*r**2 + 9\/10*r**5 - 3*r + 47 - 1\/15*r**6 + 0*r**4. Differentiate u(v) wrt v.\nAnswer: -8*v**3 + 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 4 + 0 = 0, -3*u + 64 = 5*y. Suppose 96 = 3*w + u. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 l when three letters picked without replacement from ylsllshlhyly?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/150 and -121\/216.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 959 and 1918?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/14)\/(2115\/19740).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r + 6*r + 2*r)*(2 + 1 - 5) - r + 2 + 0*r + 0 + (2 + 1 - 2)*(r - 2*r - r) to the form d*r + p and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2809741*236\nAnswer: -663098876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-5*(-3 + sqrt(128))*2.\nAnswer: -60 + 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13303 (base 4) in base 5?\nAnswer: -3444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -440 - -543. Calculate the remainder when d is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -671\/5 + 134. Which is the biggest value?  (a) -1\/6  (b) 0  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**0*k)**(-9)*(k**(-1))**(-2\/25))**(-1\/38) assuming k is positive.\nAnswer: k**(224\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5*v = 13, 3*v + 19 = -j + 5*j. List the prime factors of (78\/j)\/3*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 168 = 2*g, -35 = -g + 4*u + 67. Suppose -o - o = g. Let t = 72 + o. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62605 + -38207. Is z at least 24398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, x: 9}. Give prob of sequence wxxx.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l**5 - 158*l**4 + 695*l**3 - 692*l**2 - 316*l + 112 = 0. What is l?\nAnswer: -1\/2, 1\/4, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 139113 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (-4)\/(-3)*1. Let s be 2 - (-1 - (-1 - -1)). Suppose 2*r + 4 = -3*n, 0 = 3*n - 5*r - s + 14. Which is the third smallest value?  (a) 4  (b) g  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 28, 19, -4, -47, -116, -217, -356?\n\"Answer: -x**3 - x**2 + x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -258 + 48. Suppose 5*y - 100 = -o, 0 = 5*y - 2*y - 3*o - r. Solve 3*x + 3*n - 24 = 0, -y - 5 = -5*x - n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/(sqrt(96)\/sqrt(8)) + -5)*-5 + (-3 + sqrt(10)\/sqrt(180))*-6.\nAnswer: -6*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -635\/2 - -323. Is c at most as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 120 - 119. What is the nearest to -2 in -0.4, 14, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -31755, 2\/17, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (87*k + 113*k + 67*k)*(-4*k + 5*k + 0*k)*(-9*k - 16 + 16) in the form j + q*k**2 + h*k + a*k**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 327540 divided by -412?\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 - 0.15. Let l = t - -2.09. What is the closest to l in 0.2, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -10*f + 9783. Is f - (3 - 2) - (-2)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/179 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 52482?\nAnswer: 577302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -cd473d + 3?\nAnswer: -cd473a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z\/z**(-31))\/z**(-41)*(z**(4\/5))**(4\/3))**(-8\/7) assuming z is positive.\nAnswer: z**(-1304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 253732 and 60.\nAnswer: 3805980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 197.872?\nAnswer: 19.7872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-35)*-13*(-430)\/(-28509).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5771015395?\nAnswer: 5, 151, 709, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*k**4 - 602*k**3 - 16024*k**2 - k wrt k?\nAnswer: 144*k - 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*w**2 - 15*w**2 - 710*w - 11 - 17*w**2 - 307*w.\nAnswer: -2*w**2 - 1017*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + y + 14 = 2*y, x = -3*y - 3. Let g(a) = -14*a - 20 + x + 11. Let b(u) be the third derivative of u**5\/60 - 43*u**2. Determine b(g(t)).\nAnswer: 196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 30932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 2*d + 9145, 5*y - 9751 = -5*d + 5499. List the prime factors of y.\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7271421 litres to millilitres.\nAnswer: 727.1421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2732638009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-4)*2*-1. Suppose -4*c = -8, 5*w - 12 = c + k. 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 249 divided by 7.\nAnswer: 249\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 11 + 1. Let r be ((-15)\/10)\/(m\/160). Suppose r = 3*g - 2*g + 2*u, -g + 25 = -u. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.9099 + 0.0901. Let j = 7.01 + -0.01. Let d = j - 3. What is the closest to v in -1\/4, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 6.3. Let j = -4.032 + 0.032. What is the nearest to 1 in 2\/3, n, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -7*s + 3. Let b(d) = -d. Let i(h) = -5*b(h) + j(h). Let g(w) = 2*w**2 + 3*w. Let q be g(-2). Suppose 0 = -q*v + 5*v - 9. What is i(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**2 - l + l)*(-4 - 1 + 3) - 6*l**2 + 4*l**2 + l**2 + 0*l**2 - l**2 - l**2 - l**2 + 2*l**2 - 8 - 3*l**2.\nAnswer: -9*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2027310470 less than -245.7?\nAnswer: -2027310715.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.3 + 2. Let r(y) = y**3 - 8*y**2 + 7*y - 10. Let f be r(7). Which is the smallest value?  (a) 1  (b) t  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 5:35 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4255 divided by -270.\nAnswer: 851\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 28*p**2 - 192*p + 48. Calculate w(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, 0, -13 in decreasing order.\nAnswer: 0, -13, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -15*k + 13. Let i be o(3). Let x = -64 + 112. Let h = x + i. Calculate the least common multiple of 2 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -11*q + 13. Let x(r) = -r + 1. What is d(s) - 6*x(s)?\nAnswer: -5*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of 0*c**3 + 0*c**5 + 0*c**4 - 3*c + 0*c**2 + 0 + 1\/45*c**6 - 1\/63*c**7. Suppose r(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -9044005387295 and 3?\nAnswer: 9044005387298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**3\/11 + 5408494*o**2 + 118986874*o\/11 + 59493438\/11 = 0.\nAnswer: -1, 29746719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, -384, -1, 0, 5, 2.\nAnswer: -384, -51, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**2)**30\/(k**(-2\/23)*k*k**(-3\/5)*k))**(-3\/8))**(1\/16) assuming k is positive.\nAnswer: k**(-20247\/14720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(2\/65))\/(x*x*x**5) assuming x is positive.\nAnswer: x**(-388\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 - 13699010.86941?\nAnswer: -13698705.86941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*m**2 - 17 + 126*m**2 + 17 - 3*m.\nAnswer: 84*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 70 + -346\/5. Suppose -2*f - 4*i + 19 = f, -2*f + i = 2. What is the fourth smallest value in 0.08, l, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 11:30 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/14  (b) -5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22785\/4 + -5695. Which is the fourth smallest value?  (a) -0.2  (b) m  (c) 4\/27  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f - 2 - 26*f**4 - 21*f**4 + 8*f**2 - 2*f**3 + 46*f**4 to a*f**4 + l*f**3 + u*f + c + n*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4083.\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -13*k - 32. Let m be l(-3). Suppose 5*h = m*h - 852. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzzzztzttzzzz. What is prob of sequence zt?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7422.7 + 7423. What is the fourth smallest value in -0.15, -7, 0, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1431419 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*w - 18 = -99*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-6)\/a)\/(a**(-1\/12)\/a)*a\/(a**13\/a)*a**(-9\/2) assuming a is positive.\nAnswer: a**(-257\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -9*n**2. Let j(a) be the second derivative of -59*a**4\/12 - 420*a. Give j(i(z)).\nAnswer: -4779*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by -35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -4*u - 5*s, -2*s - 2*s = -2*u - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -327  (c) 0.323  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, m: 8, k: 2, i: 6}. Give prob of picking 1 k, 2 i, and 1 m.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1110*z + 1111*z - 3332*z + 1118*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - 5*s**2 - 2*s - 8. Let u be b(-6). Is ((-32)\/u)\/((-4)\/130) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 3*h + 44. Factor 7*g**2 + 4*g**3 - 4*g + 4*g**4 - h*g**2 + 0*g**2 + 0*g.\nAnswer: 4*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 511\/18 - 24\/(-216). Is t greater than -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k*o**4 + 3*k*o**3 + k*o**2 - 80053*k*o + 5*o**4 - 163*o**3 wrt o?\nAnswer: 48*k*o + 18*k + 120*o - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6337 - -2639369.\nAnswer: 2645706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 115 - 7?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.7 + 0.9. Let u be -3 + 19\/361*0. What is the fourth biggest value in 3\/8, 2, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 - -53. Calculate the smallest common multiple of 6 and 70\/(-4)*(-20)\/t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) - -2*sqrt(108))*-5 + sqrt(108))**2 - (5*((sqrt(3) - -1*sqrt(3)*-3) + sqrt(3)))**2.\nAnswer: 21093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-111935*f**3 + 111935*f**3 - 3*f + 101*f**4 + (-f + 0 + 0)*(0*f**3 + 4*f**3 - 3*f**3))*(0 - 7*f + 0).\nAnswer: -700*f**5 + 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*j**3 - 13*j**3 + 10*j**2 + 34*j**3 to the form f*j**3 + x + l*j**2 + v*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11256 - 11256.4521. Round a to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.6029 + -3.926. Round r to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-704)\/110 + (-6)\/(-3) + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/2*(-1 - 0). Let n = 7 - -5. Is 222\/a - n\/30 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -158*z**5\/5 + 12*z - 32. What is the derivative of s(p) wrt p?\nAnswer: -632*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6696347 is divided by 135?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -294006.41597 - -294000. Let i = q - -6.42. Round i to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -8*w. Suppose -4*b + w*b = -3*a - 6, 5*a - 16 = -2*b. Suppose -a*q = 5*j - 52, 0*q + 78 = 4*q - 3*j. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-4))\/((-8)\/(-48)). Sort -4, j, 1 in descending order.\nAnswer: 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**3 + 7*g**2 + 7*g - 12. Let i(f) = -f**3 + 3*f**2 + 3*f - 6. Suppose -475 = 28*p - 83. Determine p*i(v) + 6*s(v).\nAnswer: 2*v**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 21 from -503.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -10113421201?\nAnswer: -10113421203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-6))\/((-924)\/(-8316)). Which is the nearest to j?  (a) -2  (b) 1\/5  (c) -2\/7  (d) -12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -2\/146475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1877.1 + 1872.1. What is the nearest to 0 in c, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 40 + 28. Let t(d) = -d - 12. Let n be t(-13). Calculate the remainder when 44\/(-6)*(-8 - n) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -83*q + 78. Let n(c) = -180*c + 169. Let o(m) = 13*i(m) - 6*n(m). Let w be (6\/(-9))\/(4\/(-18)). Let r be 10\/w - 2\/6. Determine o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -12. Let i = 2 + z. Let f = 60 + -178\/3. What is the third smallest value in 0, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -57 + 75. Let i = g + -17. Let p be (-2)\/(-6)*(-2)\/6. Which is the third biggest value?  (a) p  (b) i  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -l**3\/3 + 7*l**2\/2 + 29*l + 1. Let j be f(10). Let d be j\/(-2)*-4 - (-608)\/300. Is -1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/7 - 76*k\/7 + 10230\/7.\nAnswer: -2*(k - 55)*(k + 93)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x + 2*k = -10*x - 14, -4*x + 85*k - 86*k - 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 229*l**2 - 15*l - 29. Calculate w(-2).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 780 and 16068.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -7*h - 5. Let c(q) = -5*q - 5. Let l(x) = -3*b(x) + 4*c(x). Let i(r) = r - 5. Let z be i(4). Let s = z + 1. Determine l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + r**2 + 3*r**2)*(5 - 4*r - 5) - 1 + r**3 + 1 + 0 + 1 + 7*r**3 - 5*r**3 + (0*r**3 - r**3 + 0*r**3)*(3 + 0 - 2) + (0*r - 2*r + r)*(3 - r**2 - 3).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2.9, 233, -3\/32?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, z: 5, d: 6, v: 1}. What is prob of picking 2 a and 1 v?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -249.30648 less than 5?\nAnswer: 254.30648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ozco when four letters picked without replacement from {j: 7, z: 4, o: 4, b: 1, c: 1}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -1. Suppose 5*t = -x*b - 246, -b - 5*t - 128 = b. Let s = b + 83. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 79*o + 78. Let c be w(-1). What is the second smallest value in -3, c, -0.67?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 671590 and 733410?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/8*(1 + 18\/30). Sort 0.2, n, 2\/17.\nAnswer: 2\/17, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 0*f = -2. Let q = -1.1 - 0.9. Let z = 1 - -1. What is the nearest to 0.1 in z, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and 457449?\nAnswer: 457449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 17*h**2 - 7*h**2 + 3 + h**3 - 5*h + 0 + 14*h. Let s be v(-9). What is the second derivative of n + 2*n**3 + 2*n**s - 2*n**3 wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**4\/3 + 272*g**3\/3 = 0. Calculate g.\nAnswer: -136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13732066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 329*a - 328. What is w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -49918756 + 8.791.\nAnswer: -49918747.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -884*f**2 + 16*f**3 + 884*f**2 + 3.\nAnswer: 16*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 - -0.09. Let l = 7\/153 - -95\/153. What is the third biggest value in h, -1, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-3)\/6*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -18, -4, -441\/19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 259552800 and 201874400.\nAnswer: 1816869600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 20 = -0*n. Suppose -4*v + n = -2*v. Suppose 4*r - 2*q - 66 = 0, -2*r - v*q + 32 = r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f + 23. Let j(v) = v. Let z(g) = 4*j(g) + m(g). Let k be z(-15). Sort -1, 4, 1, k.\nAnswer: k, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -100.8 - -92. Let m = -8.80304 - k. Round m to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 6 = -2*s, 0 = -5*n + s - 3*s - 6. Solve n*o - 21*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7420053?\nAnswer: 3, 23, 53, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002573932 to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 598801417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 50*q + 50. Let m be s(2). What is the highest common factor of m and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, s: 3, p: 1, f: 1, g: 2}. Give prob of picking 1 s and 1 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 25*s - 43. List the prime factors of r(12).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -450 + 450.1. Which is the closest to 904?  (a) 0.5  (b) -1\/10  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.586707 plus -0.1?\nAnswer: -0.686707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5226940108 - -29\nAnswer: -5226940079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.017 * -0.15.\nAnswer: 0.30255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - 3*o + 8. Let z be k(-5). Let j be (-90)\/540*90\/(-3). Put -18, z, 3, j in increasing order.\nAnswer: -18, z, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2663, 5370, 8145, 11024, 14043, 17238, 20645?\nAnswer: 24300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/36 and 89\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.7697 - 0.0503. Let x = u + -0.18. Let b = x - -12. What is the second biggest value in -2, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1380, 3991, 6602?\n\"Answer: 2611*n - 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 588\/(-392)*(-16)\/(-21)*(-5)\/(-2).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -20564549 divided by -5\nAnswer: 20564549\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.6 + 0.6. Let z = 106.7 + -106. Let g = z + -0.6. Which is the nearest to 1\/4?  (a) 0.3  (b) x  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 9:07 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-6))\/((-135)\/486).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 7 = c, 4*t - c = 19 - 3. Suppose 3*z - 108 - 30 = -3*d, t*z - 3*d - 108 = 0. What is the least common multiple of 9 and z?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 0 + 3. Let w = b - -3. What is the second derivative of w*y**4 + y**5 + 2*y + 0*y**4 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 899136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 505451057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14 - 4\/(2 + 2). Let d = 16 - h. Suppose -d*r + 0*r = -66. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) -0.03  (c) 7\/6  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -113\/51 + 7\/3. What is the third biggest value in q, 1\/5, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*o - 48*o + 56. Let s = 0.1 + -0.4. Which is the nearest to -11?  (a) o  (b) s  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6600)\/576*-2 - 23?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + 1340?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4338683302?\nAnswer: 2, 151, 14366501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from monnmznbbomm. What is prob of sequence zbz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 5. Suppose q - u = -4*q. Which is smaller: 1\/14 or q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.680725 meters in kilometers?\nAnswer: 0.002680725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*w = 3, 3*a - 6*w + 2*w + 9 = 0. Sort 8, a, 16 in decreasing order.\nAnswer: 16, 8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.359 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -11788260 - 972.743\nAnswer: -11789232.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - (-1)\/(-1))\/(12\/534). Let r(z) = z - 86*z**3 + 4*z + j*z**3. Let u(g) = 3*g**3 + 4*g. Determine -4*r(i) + 5*u(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*u = 4*p - 40, -u = -4*p + 35. Suppose -p*m = 109 - 1129. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-3))\/((-42)\/27). Let w = 355\/9 + -119\/3. Which is the biggest value?  (a) 1  (b) w  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c**3 + 257*c - 517*c - 181*c - 239*c + 3*c**3 to r*c**3 + y*c**2 + f + x*c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -121370624 divided by -4\nAnswer: 30342656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2524226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7681476 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 276305, 1105105, 2486407, 4420205, 6906493, 9945265?\nAnswer: 13536515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -977, -2002, -3027, -4052?\n\"Answer: -1025*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5781 + -11785. Does -6003 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f - 50*f + 8*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -2*k + 45. What is the greatest common factor of 81 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 5028?\nAnswer: -7\/5028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000196 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 54008 or 54010?\nAnswer: 54010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u. Let s(t) = t. Let l(y) = -4*f(y) - 9*s(y). Let d be ((-85)\/68)\/(2*2\/(-48)). Let o(x) = -47*x + d*x + 15*x + 19*x. Calculate o(l(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-13)\/26 + (3 - (-51)\/(-22)). Sort 0.2, 1\/24, v, 1\/6 in ascending order.\nAnswer: 1\/24, 1\/6, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17881100 = -2*n - 2*w, 4324670 = -4*n + 3*w - 31437516. Let h = n + 6038548. Round h to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 + 31. Suppose -2*u - 3*u + 10 = 0. Suppose 41 = m + u*x, -3*m - d = -3*x - 90. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 141689176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/45)\/((273\/(-35))\/(-3)). Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 20 = 4*d, 6*h - 20 = 2*d + 3*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - 26\/(-10))*1. Let z = 13 + -12.1. Let l = z + -0.9. Which is the nearest to -1?  (a) 1  (b) t  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5*f = -15, 3*j = -3*f + 6*f - 9. Suppose 0 = -y - 4*k - 9 + 20, y + 10 = 3*k. Sort j, y, 3 in decreasing order.\nAnswer: 3, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13*37\/6253*-6\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/4  (b) 0.1  (c) -24706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612) + -1*sqrt(612))**2 + -4)*-6 - (-1 + (sqrt(612) - (sqrt(612) + 0)))**2*-2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 123274960 and 951.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-4)\/160) + -4 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2\/7)\/(w\/w**5)*(w*w**(2\/5)\/w*w*w*w*w)**15 assuming w is positive.\nAnswer: w**(488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/5*(-10)\/(-4). Suppose 0 = -y*l + 5*a + 149, 3*l - a = -5*a + 73. Suppose 0*q + q - l = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 91754 and 45786.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -9*f. Let k = 1 - -24. Let q = -37 + k. Let n(v) = -4*v + 5. Let w(p) = -10*p + 12. Let u(x) = q*n(x) + 5*w(x). Determine u(t(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32\/31 + -420\/527. Solve 2\/17*s**5 - 2\/17*s**4 + 2\/17*s - 4\/17*s**3 + p*s**2 - 2\/17 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(3\/4))**2)**(-25)*(c\/c**(2\/21)*c**(2\/3)\/c*c*c)**(1\/5) assuming c is positive.\nAnswer: c**(-2589\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 182, 441, 700, 959?\n\"Answer: 259*s - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*g - 241 + 241 + (-4*g + 5*g + g)*(0 + 4 - 2))*(1 - 1 - 2*g).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 8:04 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*s + 530 + 907 = 339 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, d: 1, i: 2, x: 1}. What is prob of picking 1 i and 3 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -14762.1 to the nearest 100.\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 5*w - 61 = 0, -25*l + 30*l - 60 = -3*w for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 15) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**3 - 185 + 88 + 2*r**3.\nAnswer: 2*r**3 - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a + 13. What are the prime factors of q(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -576*x**3 + 3*x**2 - 2*x + 397?\nAnswer: -3456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -4) + (3 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.172 take away -5007.3?\nAnswer: 5007.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (15\/9 - 2)*-15. Let k = r - 9\/2. Is k at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 + 20*k**2 - 79*k - 7. Let g be o(-13). Which is bigger: 12 or g?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15088329 and 3969?\nAnswer: 2217984363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18350.45mg to grams.\nAnswer: 18.35045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*r = 19*r - 16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 a, and 1 m when four letters picked without replacement from ffaaamfaamffa?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 6*f + 4. Let i be g(-1). Which is the second smallest value?  (a) i  (b) -1\/27  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1115, -5, 4, -560 in decreasing order.\nAnswer: 1115, 4, -5, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, m: 4}. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 9:05 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56.2194ml to litres.\nAnswer: 0.0562194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218937?\nAnswer: 3, 19, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1384*i - 511*i - 354*i - 392*i.\nAnswer: 127*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/5, -3\/4, 10, 5\/2, 275?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m - 12. Let a(v) = -v**3 + v**2 + 98. Let q be a(0). Suppose 0 = -4*o - 3 - 1, 0 = -5*u + 3*o + q. Let k = -13 + u. What is d(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of 0 + 4*f - 1\/2*f**3 - 2\/3*f**4 + 0*f**2. What is the second derivative of b(k) wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -30 in 2, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j + 0 + 28 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*v**2 - 4*v**2 + 7*v**2)*(918*v + 575*v + 112*v) as x + d*v**2 + a*v**3 + l*v and give a.\nAnswer: -1605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + 2*s**3 + (0 + s + 0)*(-65*s**2 - 86*s**2 + 27*s**2).\nAnswer: -122*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 + 2 + 0 + 1 - 3)*(9 - 23 - 11).\nAnswer: -75*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32670.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 5*n)*(n**3 + 1 - 1) + (n - 2*n - 2*n)*(n**2 - n**3 - n**2) to the form w*n**3 + g*n + f*n**2 + t + i*n**4 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**6))\/y**(-15))\/((y**(-16)\/y)\/(y**(-9\/5)\/y)) assuming y is positive.\nAnswer: y**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + 211*c**3 + 13*c - 12*c.\nAnswer: 211*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2. Let c(s) be the second derivative of -5*s**3\/6 + 13*s. Give d(c(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 8*j + 5. Let s be (2\/(-3))\/j - 0. Let x = 152 + -1062\/7. What is the nearest to s in x, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00233830708 to five dps.\nAnswer: 0.00234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-160)\/(-28))\/(14\/49). Let b be v\/25 - (-1)\/5. Solve -2*u - 2*y + b = -u, 0 = u + 3*y - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 8*w - 41. What is r(13)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (2 - 1 - (14 - (-6 + -7)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 275935 and 10208?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (30\/(-4))\/((-6)\/8). Let k = -55\/16 - -121\/16. Find the common denominator of ((-146)\/15)\/(24\/i) and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*d = 31*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25474 (base 10) to base 9.\nAnswer: 37844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-15))\/((-140)\/(-210)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-7 - -3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -8.97848 < -34.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + h - 3 + (9*h + 35 - 35)*(9 - 7 - 16).\nAnswer: -125*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -182 smaller than -4379\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, 121, 63, 3, 2 in descending order.\nAnswer: 121, 63, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 9:23 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 8 = 4*c, -4*j = 4*c - 358 + 374 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -38, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 99, 19, -61, -141, -221?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + f - 10 + 23 - 7.\nAnswer: f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 168 + -166. Suppose 0 = 4*v + 5*b + 4, -2*v - 3*v - t*b - 5 = 0. Let f(a) = -a**2 + 1. What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 783 and 23571?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -2*c + 7*c - 72, -5*y = 4*c - 84. Let x = -15 + c. Solve 3*h - x - 2 = 3*p, -2*h = -p - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -4*k + 8. Suppose -k*v = -4*v + 20. Let f(x) = 4*x**2 + 3*x - 3. What are the prime factors of f(v)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 823041 and 62916912.\nAnswer: 566252208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/55  (b) -9970  (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 + 2 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1272528 + -53?\nAnswer: -1272581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-13))**(-20) assuming l is positive.\nAnswer: l**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 185605 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -889 - -914. Suppose 4*y + p*y = 58. Factor -2*s - 2\/3*s**y + 0.\nAnswer: -2*s*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*z - 0. Let y be (6\/z)\/(-9)*-6. Suppose 3*v = -y*b - 0*v + 45, -4*v = -4. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6534 + -6540. Which is the third smallest value?  (a) -5  (b) h  (c) 5  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -214145 + 214145 + 2*x**2. Let q(h) = -5*h**2 + 2. Determine q(j(o)).\nAnswer: -20*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**4\/8 + 21*n**3\/8 - 9*n**2\/2 - 3*n\/2 + 6 = 0. What is n?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9.036 and -0.4.\nAnswer: -3.6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3601435  (b) -0.3  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 781 = -18*t + 4*t. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -5, 233, -25, -6, 1.\nAnswer: -25, -7, -6, -5, 1, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence elj when three letters picked without replacement from {q: 6, j: 2, e: 2, h: 3, l: 6}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jpjljpjjlppjljlj. Give prob of picking 1 p and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 2*s - 20, s = -8*a + 9*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**4\/4 - 35857*a**3\/2 - 1285796161*a**2\/4 - 642844296*a - 321413184 = 0.\nAnswer: -35856, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5553 and 10900539.\nAnswer: 10900539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 9 = 2*q, -4*q + 126*d = 127*d - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-35 - 14 - 17)*(4*w**2 - w**2 - 2*w**2) as s*w**2 + d + i*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*f**4 + 53*f**3 - 20*f**2.\nAnswer: -f**2*(f - 4)*(12*f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -18 - (3 - (-1 + 3))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -3. Suppose 0 = 3*p - 5*p - 6. Let t be p - (2 - (-4 + 14)). Put t, w, -1 in increasing order.\nAnswer: -1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.5 + -1.6. Let s be (3\/6)\/(2 + -4). Which is the fourth smallest value?  (a) 1  (b) s  (c) -2  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 4*o - o)*(4 - 2 + 0) + (3*o - 3*o - 2*o)*(118740 - 245703 + 119761).\nAnswer: 14406*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 168.6516 months?\nAnswer: 1.40543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1385*d**3*h**2*w + 2*d**3*h - 6*d**3*w + 2*d**3 - 40*d**2*w - 2*d + 20*h**2 - 77 wrt h?\nAnswer: 2770*d**3*h*w + 2*d**3 + 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mnkndkrrkrr. Give prob of picking 1 r and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(108) + 2 + -4)**2 - sqrt(108))*5 - (sqrt(108) + sqrt(108) + -1 + -3)**2*-3)*5.\nAnswer: -2190*sqrt(3) + 9520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25 - -2 - -7) + (7 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-192)*-4*2\/16*-12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -485.3623937 rounded to one decimal place?\nAnswer: -485.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 968 a factor of 40886088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6304, -5351, -3770, -1561, 1276?\nAnswer: 4741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3922 - 16550 = -18*z + 94620. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*b + 2*b + p, -4*p - 8 = 2*b. Solve b = 3*l - 4 - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y = 3*p + 3*y - 15, 10 = 2*p + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -66*c**2. Let k(t) = t - 10. Let m(a) = -13*a - 13 + 9*a - 12 + 6*a. Let x(j) = -5*k(j) + 2*m(j). Give v(x(f)).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 237\/736 in 0.2, -1, 3, -0.052?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 5*m**2 + m + 7. Let r be l(-5). Let q = -10 + 9.9. Let x = 0 - q. What is the nearest to -2\/3 in 5, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -291, -316, -359, -420, -499, -596, -711?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + j = -3*d + 1, 2*j + 5 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129 + 2 + 127 - 13*s.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -130, 1\/8, -4\/3 in descending order.\nAnswer: 1\/8, -4\/3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/9*v**2 - 16\/9*v - 22\/3.\nAnswer: 2*(v - 11)*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 3 - 102. Suppose 14 = -5*s - 3*g + 49, 0 = 5*s + 5*g - w. Let p(h) = -11*h**3 - h. What is the remainder when p(-1) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 PM and 10:49 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -9*z + 30. Determine w(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 612 + -618. Which is bigger: -93 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 287*g - 84*g + 165*g to the form x*g + t and give x.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3923 - -3923. Let r(s) be the first derivative of 8 + 0*s - 3\/2*s**6 + 0*s**5 - 5*s**2 + 0*s**4 + q*s**3. Find the second derivative of r(o) wrt o.\nAnswer: -180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 477622 to the power of 1\/2, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 120566777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 419.1105mm in kilometers?\nAnswer: 0.0004191105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5926 a factor of 775642694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((v\/v**(1\/5))\/v)\/v)\/v)\/v*v)\/(v*v*v**(-12)*v) assuming v is positive.\nAnswer: v**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 2 = -3*r, 3*s + 0 = 4*r - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 176, 1732, 5976, 14252, 27904, 48276?\n\"Answer: 224*n**3 - 12*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 890046?\nAnswer: 2, 3, 197, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 1:59 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 8. Let g = -4.3 - d. What is the nearest to g in -4, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125*a + 125*a - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4676623.\nAnswer: 7, 668089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 487 + -1123. Let x = a + 647. Calculate the remainder when 12 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 1 + 1)*(65 + 10 + 29) + 2*q - 3 - 2 + 3.\nAnswer: -102*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 5. Suppose -2 = -b*c + 2. Calculate the remainder when 2\/((-4)\/6)*-1 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1020\/850 + 357\/15.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13\/9 + 127\/63. Which is the closest to -2?  (a) -11  (b) 5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {w: 2, e: 9, o: 4, x: 3}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2 - 11\/(231\/56) and 50\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = -7*u - 85. Put -1, -4\/3, -3\/11, u in increasing order.\nAnswer: -4\/3, -1, -3\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, f: 3, i: 2}. Give prob of sequence ivfi.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*g + p + 128705 = 51*g, -2*p = -4*g + 128702. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -295*h - 68. What is the thousands digit of y(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1291067444?\nAnswer: 2, 322766861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5373 by 54.\nAnswer: -199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(5 - 1)*9\/(-30)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*y + 5*y. Suppose 0 = -2*f + y*l, 0*f + 4*l + 15 = -f. Is f greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 - 8*f + 4. Let d be z(6). Let m(v) = -v**2 - 11*v + 1. Let g = 13 + -6. What is the remainder when m(d) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**2 + 5*z + 2. Suppose 9*s + 1 - 37 = 0. Suppose 8*q + s = 9*q. What is the lowest common multiple of k(-3) and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9682 and 3905554.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 77, 89, 107, 137, 185, 257, 359, 497?\n\"Answer: t**3 - 3*t**2 + 14*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -1.9, 5 in decreasing order.\nAnswer: 5, 1\/3, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.7 and -0.28674715548.\nAnswer: -0.98674715548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 333572 is divided by 4978?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -3*n + 2, -2*n + 5*a + 26 = 2*n. Let y(h) = 3 - h - 11 + 16. Let k be y(n). Let o(r) = r**3 - 6*r**2 + 7*r - 4. Calculate o(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -6.1 and 0.3.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -l**5\/60 + 13*l**4\/24 - 5*l**3\/3 + 7*l**2. Let u(z) = 2*z - 1. Let t be u(6). Let n be s(t). Solve -4*c + n = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -4*h**3 + 6*h**2 + 18*h + 22. List the prime factors of b(-7).\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(38) + sqrt(190)\/(sqrt(5)*2) + sqrt(38))\/(-2*sqrt(98)).\nAnswer: -5*sqrt(19)\/28 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 4, -w + 6*w = -5*v + 35. Suppose -2*z = -31 + 9 + 14. Solve 9*u - v*u - z = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -297 - -279. Let f be (-112)\/(-6) + (-2)\/3. Let z = u + f. Solve -h + 2 = -z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**4*a\/(a\/(((a\/(a**(-2\/9)\/a))\/a)\/a))*a**6*a*a**(2\/13) assuming a is positive.\nAnswer: a**(1331\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 201022211102022 (base 3) in base 16?\nAnswer: 9cb9d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 162 = -2*z, -5*z - 183 = -r - 42. Calculate the greatest common divisor of r and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**2 + 1076*z = 0 for z.\nAnswer: -538, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/(sqrt(66)\/sqrt(6)) + sqrt(8)\/(sqrt(20)\/sqrt(5)))*1.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**2 + 0 + 0 + 1)*(-27*g + 3*g**2 - 3 + 27*g).\nAnswer: 9*g**4 - 6*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/12460 and -79\/747600.\nAnswer: 747600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -27650 - 2?\nAnswer: -27652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -12) + (3 - 4) - (91 - (31 + 62))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70\/5899 - 944279\/460122. Calculate the common denominator of 4\/117 and b.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -4, -53 in descending order.\nAnswer: 3, 2, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + 1. What is the tens digit of k\/18 + 68\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.9 + 0.9. Let z = j - -1.999987. 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 j(u) be the third derivative of 5*u**2 - 11\/480*u**6 + 0*u - 2\/105*u**7 - 1\/120*u**5 - 4 + 0*u**3 - 1\/192*u**8 + 0*u**4. Solve j(n) = 0 for n.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in -0.3, -0.1, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (((-36)\/(-5))\/4)\/((-3)\/(-10)). Suppose b*n - 68 = -26. Suppose n*x - x = 294. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 16 = m, 5*i - 756*m = -753*m + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/42 and -13\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/2 + 270*s**2 - 566*s - 13008.\nAnswer: (s - 8)*(s + 6)*(s + 542)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3, -1, 3, 9, 17?\n\"Answer: p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j*j*j*j*j*j**(-5)*j))**(-6\/5))**(3\/11) assuming j is positive.\nAnswer: j**(18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 - 83*s**2 - 78*s + 328. Let o be i(-82). Suppose 3*a + 2*q = -0 - 1, -a - 2*q + 1 = 0. Put -13, a, o, -2 in descending order.\nAnswer: o, a, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - (-72)\/(-2))*(-5 + -4). What is the greatest common divisor of o and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*j**2 + 2\/15*j**3 + 4\/15*j - 16\/15.\nAnswer: 2*(j - 1)*(j + 2)*(j + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/7 - 1381*j\/7 - 222942\/7.\nAnswer: (j - 1527)*(j + 146)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 - -0.1. Let j(y) = -y**2 - 16*y + 3*y + 4*y**2 + 4. Let k be j(4). What is the smallest value in d, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 7*r - 3*r + 28 = 0, -2*i - 5*r = 18. Let g be 2\/i*-1 - 1479\/3026. Let j = g - 292\/2225. Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of i**5\/20 + 5*i**4\/6 + i**3\/2 + 2*i. Let g be v(-10). Let u be 6\/9*g\/(-4). Let f(o) = o**2 - 3*o - 6. Calculate f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q + 8. Let u be a(-3). Let x(n) be the first derivative of 0*n + 1\/2*n**4 + 2\/3*n**3 + 0*n**u + 1. Find the third derivative of x(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 14*n = 15*n - 5, -5*m + 4 = -2*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 59. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 417680390 to the power of 1\/2, to the nearest integer?\nAnswer: 20437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**4 - 80*c**3 - 524*c**2 - 1264*c - 1008.\nAnswer: -4*(c + 2)**2*(c + 7)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 131 + 135 + 2*k + 5*k**2 - 259 - 12*k**2. Let i(a) = 10*a**2 - 3*a - 11. Calculate -8*c(m) - 5*i(m).\nAnswer: 6*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205566?\nAnswer: 2, 3, 34261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9466 + 4?\nAnswer: 946a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 31024 (base 5) to base 15\nAnswer: 8e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 162113010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10499*k + 29560*k + 476959 - 434 = 0 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of -83*w**2 + 1\/15*w**5 + 0 + 1\/6*w**3 - 5\/24*w**4 + 0*w. Factor o(x).\nAnswer: (x - 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53332 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 smaller than -339437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*f - 9*f + 11*f)*(-1 + 3 + 1)*(0*f - 2*f + 4*f).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 108758 less than or equal to -11\/190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185177250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4 = 5*f + 4*s, 8 = 3*f - s. Let v be -1 - 44\/(-36)*1. Suppose -2*t - 5 = 5. Which is the nearest to v?  (a) t  (b) f  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) - -5*sqrt(68)*-5)\/(sqrt(64) - (sqrt(64)*4 - sqrt(64))) + -3.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (9*(-92 - -1))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8316*j + 1410 = -8363*j for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gnpnccffl. What is prob of sequence glc?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 1059.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**2 - 2*z - 12 - z**3 + 8 + 1. Let c(t) = -t - 4. Let d be c(-2). What is w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*j**2 - 22*j**2 - 7*j**2 as k*j + u*j**2 + w and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7695803\/130 - -59199. Let g = n + -3\/26. Which is the closest to g?  (a) 0.3  (b) -1  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1341 is divided by 401.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**2\/2 + 3*p - 9. Let l be a(2). Suppose -5*z + 10 = 0, -8*s + 4*s - l*z = -54. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n**5 - 15*n**4 + 50*n**3 - 10*n**2 - 45*n + 25 = 0 for n.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*y = -42*y - 2227. Let b(x) = x + y - 3*x**2 + 137 - 405 + 138. Give b(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -t - 40. Let g = 196 + -196.4. What is the smallest value in g, -3\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, o: 1, x: 1, t: 2, a: 1, j: 2}. What is prob of picking 1 x and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c + 5 + 3*c - 1. Calculate j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/7))**2*t**(1\/6)*(t*t\/t**(-2\/3))\/t)\/((t**(-3)*t)\/t**5*(t\/t**(2\/9))**(-2)) assuming t is positive.\nAnswer: t**(1381\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) - (sqrt(720) - (sqrt(720) + -1)*4))**2.\nAnswer: -384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -10. Suppose n + 21 = x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 75\/6 + 3\/(-2). Let l = z + -12. Is -4 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 67*c**2 - 663*c - 70*c**2 + 662*c - 16. What is y(-6)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 + 11 - 7*s + (3*s + 3*s - 4*s)*(39 - 68 - 49))*(-2*s**2 + 11 + 0*s**2 - 13) in the form n*s**2 + l + z*s + y*s**3 and give z.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -83.5 - -83. Let x = 0.4 + -0.2. What is the smallest value in m, -3\/4, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3529*c**3*f + 26526*c**3 - 2186*c*f + 16*c - 990*f wrt c?\nAnswer: 21174*c*f + 159156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/16*22\/99*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2 + 34*j + 4 + 2*j**2 - 28*j + 2*j**2.\nAnswer: 2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6911.55354 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5688.255 millennia?\nAnswer: 5688255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*w, 10 = -0*s + 2*s + w. Suppose 23 = 3*b - 22. Suppose 0 = -d - s + b. What is the remainder when 23 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 122253182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 96.4 + -531.3. Let f = 456 + x. Let v = f + -21. Which is bigger: v or -26?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-63)\/(-99))\/((710\/(-220))\/(-71))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 455536.9 litres to millilitres.\nAnswer: 455536900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*q = 34*q + 60. Factor -24*z**4 + 2*z**2 - 8*z - z**4 - 37*z**2 - 45*z**3 - 2*z - 5*z**q.\nAnswer: -5*z*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 546*o + 1217. Calculate l(-2).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -74, -4 in ascending order.\nAnswer: -74, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 5*q. Let z be g(3). Let r = z - 9. What is the lowest common multiple of 2 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 14) to base 2.\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -27. What is the third smallest value in z, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -468*m - 430*m = 47598 - 30557 + 44921 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 858566 is divided by 286183.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.569 and -207.3969.\nAnswer: -206.8279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 60 = 2*w. Let i = -9250 + 9254. Suppose -92 = -c - 4*q, i*q - 538 = -5*c - w. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-294)\/(-231))\/(-14) - ((-3)\/(-15) + 7190\/(-22825))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*m**3 + 2036*m**2 + 48232*m - 9728.\nAnswer: 4*(m + 38)*(m + 64)*(5*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, y: 2, m: 1, j: 1}. Give prob of sequence yy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 5*q - 1410 - 4300 = 0, 4*x - 2*q - 4574 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 38, 3.\nAnswer: -3, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.21 - 61.21. Let w = -149 - g. Let t = w + 89.0137. Round t to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 102\/5 + -20. Let f be (-412)\/(-336) + (-2)\/6. Let b = 3\/4 - f. Put b, 1, c in descending order.\nAnswer: 1, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/12 and ((-676)\/96 - -7)\/((-2)\/164).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 6876?\nAnswer: -1\/1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38\/(-1520) - (-45638)\/1520.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-4 + -2 + (sqrt(98)*3 - sqrt(98))).\nAnswer: -70*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-29132)\/8*(-2 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128032630667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 133033599 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) 101\/3  (c) 0  (d) 2\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 5) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/5 - (-2)\/5. Let t = i - 3. What is the units digit of (2 + -1)*(4 + t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45984197087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1551358252?\nAnswer: 2, 387839563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 111400 and 1000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 4*g**3 + 19*g**2 + 93*g - 132. Give i(-8).\nAnswer: -1708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -6582, -6593, -6592, -6573, -6530, -6457, -6348?\n\"Answer: a**3 - 18*a - 6565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 407  (b) 14  (c) -5  (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (11 - (36 - 7) - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.3 - 0.5. Let k = -4 + -2. Let v = -5.9 - k. Are m and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**5\/15 + 5*x**4\/12 - 10*x**2. Find the second derivative of y(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15256943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58 + -61. Let p be (k - -5)*5\/10. Which is greater: p or 4\/97?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1418 smaller than 1422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b + 29*b - 150 = 0. Suppose 2*g + 0*g + 14 = -n, 4*n = 5*g + 35. Let d(s) = -5*s + 3. Calculate the remainder when d(g) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 310653000 to the nearest 1000000.\nAnswer: 311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 310, 6, -0.2, -2, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32310512 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + (-1 + -1 - -169). Let y be ((-6)\/(-5))\/(2\/100). Suppose y = 5*p - p. What is the greatest common divisor of q and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*p + 20, 5*p + 69 - 2 = 2*r. Suppose 331 + 27317 = 36*o. Let m = o - 641. Calculate the remainder when m is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 799142 is divided by 138.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1038*y**3 - 1069*y**3 - 5782 - 3*y + 5782 + 0*y.\nAnswer: -31*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of f**4\/4 + 5*f**3\/3 - 3*f**2\/2 + f + 1. Let d be w(-4). Let x = -21 + d. Calculate the remainder when 22 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27774 - 56974 = -1168*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 + 349)*(-2)\/3. Let x = 381 + n. Let c = -713\/5 + x. What is the common denominator of -45\/2 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5615 times 41530?\nAnswer: 233190950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -j**4\/4 - 7*j**3\/3 + 10*j + 5. Let o = 5 - 12. What are the prime factors of f(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 378488265796*z**3 + 189234289474*z**2 - 4921648*z + 32.\nAnswer: 2*(2*z + 1)*(307607*z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/22368 and -49\/48.\nAnswer: 22368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-12) - 23107\/(-42). Let c = l - 348. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q - 4. Calculate i(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*w - 6. Suppose -w*n - 2*n = -110. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23.61 + 7.49. Let p = 70 - 54. Let u = p + y. What is u rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76 divided by -1\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17857 - -37048. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80493.86ml to litres.\nAnswer: 80.49386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -7.7405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 8*s + 6. Let b be u(-8). Let t(v) = v - 6. Let c be t(8). Let z(f) = b*f - f**c - 6*f. Let m(r) = -2*r. Calculate z(m(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 12:12 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4760)\/(-102))\/(-35))\/(-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 6*w**2 + w. Suppose f + 2 = 3. What is o(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -5*g - 39, -29*r - 29*r + 30 = 4*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11276 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -772.999995484 + 773. What is d rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -255323121 (base 6) in base 12?\nAnswer: -18204a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 101*w - 2 + 246*w to a + j*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -7 - 1*(-26 - -5). Suppose -5*s + 129 = v, -v + 276 = v + 4*s. Suppose t*q - v = 738. What is the remainder when q is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 275916 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of -5*f**4\/12 + 10*f**3\/3 - 15*f**2\/2 + 22*f. Solve k(a) = 0 for a.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, 7999, 995\/9?\nAnswer: 7999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1*(6 + -1) + -2)\/1. What is the third derivative of -2*o - 12*o**z + 41*o**2 + 115*o**3 - 5*o**2 + 63*o**3 wrt o?\nAnswer: 996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4*s = 15, s - 4303 = -5*o. List the prime factors of o.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -11. Suppose -4*p - 2*r + 150 = 0, 4*p + y*r = 2*r + 147. Let q = 69 - p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(15\/(-18)) - 6\/30. Let f = 20 - 12. Calculate the highest common divisor of x and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 14, g: 4}. Give prob of picking 1 g and 1 m.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -3, 83, 22, -4 in descending order.\nAnswer: 83, 22, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 2327898630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - i = p + 43, 5*p + i = -55. Let y = 0 + -1. Let b = y - p. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x + 5*f - 67 + 50 + 37, -173*f = 5*x + 840 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, -2\/9, -0.5 in descending order.\nAnswer: 44, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11.2987 + 11.33. What is q rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(130)\/(sqrt(490)*-3).\nAnswer: -sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 7*b = 45. Let v(t) = 7*t - 5. Let p(f) = -3*f + 2. Let q(u) = 5*p(u) + 2*v(u). List the prime factors of q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i - 5. Let p(l) = l**2 + 5*l - 9. Determine -3*p(r) + 5*u(r).\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/9 + 0\/2. Let f = 15 + -11. What is the closest to d in 0.9, 1, f?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-287)\/(-91) - (-6)\/(-39). Suppose 0 = v*o - 3*s, -o - 17 = -3*s - 7. Solve -p = -o*r + 7, 3*p + r = 7 + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -184 by -80293.\nAnswer: 8\/3491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 81, 418, 981, 1770?\n\"Answer: 113*o**2 - 2*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1364767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 6:09 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = a + a + 5, 3*a + 5*u = -17. Let x = -28\/33 - -2\/11. Let s(n) = n - 2. Let p be s(4). What is the closest to p in x, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 293162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -21675, -3, 1\/13, 26.\nAnswer: -21675, -3, 0, 1\/13, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 4)\/((-960)\/(-1600))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*3\/(-3 + -3). Suppose -c + f = 2*v - 3, 0 = -4*v - 4. Calculate the remainder when 16 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*v, -5*a - 4*v + 33 = 2. Suppose 0 = -a*r - 4*p + 148, -3*r = -0*r - 3*p - 162. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/5 + 124*i**2\/5 - 816*i\/5.\nAnswer: 2*i*(i - 6)*(i + 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h**0\/h)))**(-5)*(h**1)**(6\/13) assuming h is positive.\nAnswer: h**(71\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 152\/((-208)\/26) + 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 - 2*u**3 + 0*u**2)*(0 + 3 - 2) + 182*u**3 - 132*u**2 + 132*u**2.\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 19*s**2 + 18*s + 2. Let m be u(18). Suppose 0 = -5*d + 4*h + 379, m*d - 4*h - 216 = -74. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -2*y - 90. Let r be y\/12 - 3\/2. Sort r, -7, 4 in decreasing order.\nAnswer: 4, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 0.1, 1\/4, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 46*q + 131. Let d be w(-3). Solve -2*b - 2*b = -4*y + 32, -b + d*y - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -659 + 717. Calculate the remainder when 633 is divided by z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 172872701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 1\/9  (b) 644  (c) -309  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 105*n**2 - 7*n - 9. Let r = -79 + 77. Does 10 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*x - 17*x - 6, 5*j + 3*x = -31 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (-1 - -1 - (70 - 61))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-5) + (-77)\/(-5). Suppose 53 = 3*w - y. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -157 - -110. Suppose 39*m + m = 2000. Let l = n + m. Calculate the greatest common factor of 15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 1:44 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/6076600 and -41\/61373660.\nAnswer: 613736600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*v**2 + v**2 - v**2 - 39 - 9*v**4 wrt v?\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a**2 + 52*a + 231. Give c(-23).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 853*m + 1697. Let r be s(-172). Round r to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 17*c**5\/12 + 3*c**4\/8 + 5*c**3\/2 - 16*c**2. Let r be b(11). Suppose -3*l + 401 = -r. Round l to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/10*(-8592)\/384 + (-1)\/10. What is the third smallest value in n, 2, 4, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76025217?\nAnswer: 3, 59, 429521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -198*c**3 + 2 - 75*c + 200*c**3 - 110*c as r + w*c**3 + d*c + j*c**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 40.95 + -38. Let o = n - -0.05. Which is the closest to 1\/4?  (a) o  (b) -0.8  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -0.2  (c) -52\/5  (d) 4647\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000977 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - 1165)*(-15)\/10. Suppose -x + 5*x = -f + t, 0 = x + 2. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 3 = -3*j - 0, 0 = 4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1177 a factor of 1157997335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -134 + 136. Let t(z) = -2. Let o(q) = -q - 3. Let v(u) = 3*o(u) - 5*t(u). Let b be v(p). Which is greater: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*v**3 + 1558 - 1567 + 21*v**3.\nAnswer: 11*v**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 5}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -5*k - 4 + 79, -4*k + 53 = -3*d. Let l(s) = 4*s**2 - 21*s**2 + k*s**2. Let o(n) = -n**2. Calculate l(o(i)).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -7\/5, -56.9, 4, 3, -28?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 59*i**2 + 13 - 28*i**2 + 9*i - 29*i**2. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (64 + -2)*1\/2. Let k(t) = -t**3 + 6*t**2 + 2*t - 7. Let v be k(6). Factor 11 - n - v*h**2 + 8 + 15*h + 2.\nAnswer: -5*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -1.6, 2, 109, 1, -3\/5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 471080147 is divided by 6173?\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 255.57 less than -94.55?\nAnswer: -350.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 2:09 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 529 - 527. Solve 3*c + 4 = f*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + g + 18. Let n be a(0). Suppose 5*m - n = -153. Let v = m - -57. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 800 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0*j + 19 = -5*l, 10 = -2*l. Let h(z) = -z**2 + 6*z + 1. Calculate the lowest common multiple of 8 and h(j).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1))**(2\/11)*(v**0)**33*v**(2\/15)\/v*v*v\/(v*v**(-7))*v**(-1\/3)\/(v\/(v\/v**(-1\/2))) assuming v is positive.\nAnswer: v**(783\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 88 + -85. Let o be 6\/4*4 - -1. What is the derivative of -6*v + u - o + 4*v + 6*v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(13)*1 - sqrt(13)) - (sqrt(117) + 2)) + -1.\nAnswer: -3*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/30)\/1*(-310)\/(-93)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 4*l = -j - 1, 0 = 5*l + 3*j + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17\/52 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 0.05, -5, 0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 34 = -3*t - 39, 3*u + 4*t + 18 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**3 - 238*b - 167*b - 12*b**3 + 7*b**3.\nAnswer: -b**3 - 405*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2*sqrt(448) - sqrt(448))**2.\nAnswer: -8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2745098 to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282584*n**3 - 166202*n**3 - 142027*n**3.\nAnswer: -590813*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.062 greater than -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.95 - -0.12. Let p = g - -0.83. What is the fourth smallest value in -0.1, p, 0.3, -81?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -2\/7  (c) -0.2  (d) -4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/((h*h*h*h\/((h*h**(-1\/45)*h)\/h*h)*h)\/h)*h\/(h\/(h\/h**(4\/3)))*h*(h*h\/((h*h**(-17))\/h)*h)\/h*h*h\/h**(11\/2))**(-16\/3) assuming h is positive.\nAnswer: h**(-10904\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(((-2)\/(-1))\/(-24)). Suppose 0 = -5*v - 0*v + 60. Let p = 4 + v. Calculate the greatest common divisor of p and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.3  (b) 0  (c) 2852  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(99))**2 - (sqrt(11) + 3 + (sqrt(99) - sqrt(11))).\nAnswer: -3*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 2, 1\/3 in descending order.\nAnswer: 2, 1\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/3)\/((f*f\/f**(-1\/6)*f)\/f)*(f*f*f\/f**(-1))**(2\/29)*((f**(-5\/3)*f)\/(f\/((f*f\/f**(-7))\/f)))\/(f*f**(2\/11)*f**(-2\/9)*f) assuming f is positive.\nAnswer: f**(16171\/5742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/9)\/v**2)**(-9\/8)*(v**(-2)\/v**(-1\/2))\/((v**(-1\/3)*v)\/v**(1\/10)) assuming v is positive.\nAnswer: v**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - 9*h**2 - 6*h + 18. Let x be l(-8). Let a be 52\/26 + 2 + x\/(-2). Solve o - k + a*k = 15, 20 = -o + 5*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90) + (sqrt(90) - (sqrt(90) - sqrt(90)*2)))\/sqrt(5)*-4)\/(sqrt(54)\/(sqrt(24)*-1)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 85\/25 - 3 - (-8)\/5. Let h be (1\/x)\/(-4 - (-26)\/6). Which is the second biggest value?  (a) -1\/6  (b) 0.4  (c) -4  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55181120311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 6:56 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 5*f**2 - 6*f - 1. Let n be (-3 - (-12)\/3)\/(-1). Let r = -74 - -69. Let d = r + n. What is w(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5204207*s**3 + 3708885 wrt s.\nAnswer: -15612621*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 122982 divided by -6\nAnswer: -20497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 - (-8 + (-3 - -6)). Suppose -c*b = 5*o - 53, 2*b = b - 4*o + 34. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 6*g**3 + 90*g**2 + 1358*g + 6754. Let q(z) = z**3 + 2*z + 1. Let u(x) = -4*q(x) + s(x). Determine w so that u(w) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -189 - -188. Is (6805\/(0 - 5))\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85, -435, -783, -1129, -1473?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of (165\/495)\/(2\/85644)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -14.1  (b) -7  (c) -2\/21  (d) 26\/29  (e) -5  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**4 + 17*b**3 + 24*b**2 + 13*b + 2.\nAnswer: (b + 1)**2*(b + 2)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129774 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 54 + 18 = -22*r, -r + 2*p = p - 42 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -642 + 1407. What is the highest common divisor of 306 and b?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -7*u**2 + 3*u - 48. Let t(b) = 6*b**2 - 2*b + 46. What is 2*i(c) + 3*t(c)?\nAnswer: 4*c**2 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b**2. Let d(w) be the second derivative of -107*w**3 - 2679*w. What is d(r(c))?\nAnswer: 1284*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/11  (b) 3\/5  (c) -1883\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 288464*s**4*t - 89*s**3*t - 129454*s*t - 1033*t wrt s.\nAnswer: 3461568*s**2*t - 534*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = q + 2*l - 213, -q - 2*l = -210. Suppose -q = -3*j + 32. Suppose -2*d = 2*d - j. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*(-5)\/(-80)*6\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -16345, -6, -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -12. Let q be 7\/(-5) + (a - -4). Is q bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 31 and 679270 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -486*c**4 - 144018*c**3 - 47970*c**2 - 15986*c\/3 - 592\/3 = 0.\nAnswer: -296, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -81, -1.\nAnswer: -81, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -r**7\/63 + 2*r**6\/45 - r**5\/30 - 7*r - 11. Let j(s) be the first derivative of y(s). Solve j(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103534 - -1432.087521.\nAnswer: 104966.087521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/36 - 56\/(-9). Let v(n) = n - 1. Let d be v(p). Let o(x) = -x**3 + 5*x**2 + x - 6. What is o(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - d - 20. Let s be g(5). Which is bigger: 5\/9 or s?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 11:10 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**5 + 0 + 0 + (2*b - 1 + 1)*(-2*b**4 + 0 + 0) + (b**2 - b**2 - b**4)*(b + b - b) - 713*b**5 + 153*b**5 + 324*b**5.\nAnswer: -242*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -9, -5, -7.\nAnswer: -9, -7, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 645*-11095.4\nAnswer: -7156533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 32, 76, 158, 290, 484, 752, 1106?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26959.5 milliseconds to minutes.\nAnswer: 0.449325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.831247 to two dps.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + 11. Let n(p) = -4*p**2 - 5*p - 7. Let t be 2\/(-9) - 43\/9. Let w(g) = 3*g**2 + 4*g + 6. Give t*n(i) + y*w(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 5*v - 483. What is j(87)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36317 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2 - 2*d + 0*d - d. Let s(v) = 2*v + 4. Let a be s(-4). Let b be (a - -6)*(-6)\/(-4). Give q(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/10091328 and -71\/130.\nAnswer: 50456640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-6560)\/(-15)*-5 + 4)*(-6 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of b**3\/2 - b**2 + 66*b. Let r(n) = -n. Let t be r(-4). Suppose -2*s - t = 0, -3*v = 2*s + 2*s + 14. What is g(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + -0.3. Let g = 2118 - 2117.7. Let y = -2 - 3. Which is the closest to -1\/4?  (a) o  (b) g  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55346060.\nAnswer: 2, 5, 7, 11, 83, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 3. Let z = 0.045 - -0.155. Which is the closest to r?  (a) z  (b) 4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 634 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -913049*v**3 + 9*v**2 - 28*v - 48?\nAnswer: -5478294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*j + 37*j + 2*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.66 - -0.04. Let r = -0.11 + 2.71. Let z = f - r. Is -0.5 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n + 2*n + 3*n - 1)*((22*n - 6*n + 5*n)*(-3 - 1 + 0) - n + 8*n + n) as q*n**2 + o + t*n and give q.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of l**7\/1050 - l**5\/50 - l**4\/15 - l**3\/10 + 4*l**2. Factor p(x).\nAnswer: (x - 3)*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 4*f + 1646, 4*q - 5*f + 9748 - 3143 = 0. What is q rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004995 rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*a = 37*a - 390. What is the greatest common factor of a and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 - 4*k - 3. Let i be m(8). Suppose 0*g + 3*g + 5*h = -i, 2*g = -h - 17. Let a be g\/44 + 8\/(-77). Which is bigger: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 5*d + 5 + 6, -d = -4*c + 17. Suppose 70 = c*i + 62. Suppose -4*m = -4*s - 188, -26 + 122 = i*m - s. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 200\/52 - 2\/(-13). Suppose 3*a - 94 - 157 = x*m, 352 = 4*a - m. Does 44 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -283 - -284. Which is the second smallest value?  (a) 4  (b) 0.123  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8561.\nAnswer: 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 - 5*b - 2. Let n be t(-3). Let j(s) = 2 - s**3 - 4*s**2 + n*s**2 + 3*s**2 + 3*s**2 - 5*s. Does 12 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 469536 divided by -292?\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1154325, -1154324, -1154323?\nAnswer: -1154322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 611 - 621. What is the biggest value in -2\/11, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**3 + 29852564*q - 29852564*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 + 6*h**2 - 4*h**2)*(3*h**3 - 2*h**3 + 0*h**3) - h**5 - h**5 + 4*h**5.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -11*x**3 - 6*x**2 + 5*x - 6. Let p(k) = 6*k**3 + 3*k**2 - 3*k + 3. What is -3*a(t) - 5*p(t)?\nAnswer: 3*t**3 + 3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - 3. Let r = -2 + 21. Let u = f + r. What is the second biggest value in 1\/9, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*p**2*r**2 + 3287985*p*r**2 - 11989*r**2 + 4*r - 3 wrt p?\nAnswer: 4*p*r**2 + 3287985*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19820 and 26?\nAnswer: 257660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 203, 374, 543, 710?\n\"Answer: -n**2 + 174*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/865100 and 83\/113940.\nAnswer: 23357700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -38*0.06\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/14367007 and -79\/94.\nAnswer: 28734014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 848 and 2673108.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*z**3 + 285*z**2 - 11481*z wrt z.\nAnswer: 114*z + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 5*i - 161348 = -44*i. List the prime factors of i.\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*-1 + -2)**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2405*v**4 + v**3 - 8*v**2 + 26*v - 61712287 with respect to v.\nAnswer: 9620*v**3 + 3*v**2 - 16*v + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 2*q - 5*q)*(-q + 0*q + 0*q)*(7 + 27 - 4).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 220 a factor of 60587560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -7*q**6\/18 + 31*q**5\/30 + 29*q**4\/8 - 59*q**3\/9 - 31*q**2\/3 - 4*q - 54. Suppose h(y) = 0. Calculate y.\nAnswer: -2, -1\/2, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 - (-128)\/12 - (-1)\/3. Suppose 2 = g + c. What is the lowest common multiple of (-12)\/g - (14\/10 - 1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -47344.96 and -79?\nAnswer: 3740251.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/13 + 8*w\/13 - 8\/13.\nAnswer: -2*(w - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 577148078 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = -20*b + 104 - 134 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57 - 28. Suppose 0 = -3*z + 32 - g. Is -1\/68 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 7:38 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*o = -36*o - 4*o + 217 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -r - r + 30, 2*r - 30 = 3*v. Suppose 0 = -3*c - 6, -f - 3*f = -3*c - 182. What is the remainder when f is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2565 is divided by 835?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*h - 5*v, 5*h - 19 - 15 = 3*v. Suppose 3*c - 22 = h*c. Let n = c - -6. Sort n, 5, -1.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y**4\/7 + 960*y**3\/7 + 8439*y**2\/7 + 1866*y = 0. What is y?\nAnswer: -311, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3701 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 18475632 (base 9) in base 12?\nAnswer: 3155b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 q when four letters picked without replacement from qgqbegqqbebveggqbb.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**2 - 6*x**2 + x**2 + (0*x + 3*x - x)*(3*x + 2 - 2) + 2*x**2 - 5*x**2 + 4*x + 1 + 2*x**2)*(3*x**2 + 3*x**3 - 3*x**2).\nAnswer: 9*x**5 + 12*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from hghhhzygsdzhggd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 916600483 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4635 and 23089716?\nAnswer: 115448580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + 7*h - 6. Let j be s(6). Let g = -3 - -5. Solve a - g = -j*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 10*m**2 + 7*m + 12. Let j(q) = -q**3 + 6*q**2 - q - 3. Let p be j(6). Let f be b(p). Let n = f + 4. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 54925.523 + -54962. Let z = -36 - s. Round z to two decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 4 = -2*d, 0 = 2*f + 4*d - 9*d + 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1731\/1510355 or 1?\nAnswer: 1731\/1510355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 12:18 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 458246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -18*u - 3. Let p(s) = -161*s**2. What is k(p(z))?\nAnswer: 2898*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6466, 26249, 59344, 105751, 165470, 238501, 324844?\nAnswer: 424499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-51)\/(-45) + 4\/(-30). Let z be 3 + (-2 + 2 - s). Suppose i = -z + 4. Put -4, 3, i in descending order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 2*t + 2. Let k be s(0). Suppose 0 = -d - k + 6. Sort d, 12, -5 in descending order.\nAnswer: 12, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 383582?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or 5\/701?\nAnswer: 5\/701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 5*f**2 + 27085*f - 27084. Determine q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 - 324644871647.\nAnswer: -324644871647.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 8\/5269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80973263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -204*h**2 + 144 + 79 - 2*h - 121 + 2*h wrt h.\nAnswer: -408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.778 - -1.778. Which is the closest to -1?  (a) -0.5  (b) n  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**0*t\/(t*t**(1\/4)))\/((t*t**3)\/t**(-1)) assuming t is positive.\nAnswer: t**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 522687 and 142551.\nAnswer: 1568061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 9:54 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 5*s**2 - 2. Let n be k(1). Let u(v) = -4*v**2 - v**3 + 5*v**3 + 11*v - 5*v**n + 5*v - 3. Is u(-7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y. Let m(a) = -46*a**2 - 3*a. Calculate m(v(f)).\nAnswer: -184*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p = 21*p - 36. Suppose -4*b = -12, 4*z - p*b = 3306 - 250. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/18 and -185\/3688146.\nAnswer: 3688146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b5d (base 16) to base 11.\nAnswer: 5299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 27419977 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a + 59 = -5*t, -3*a - 64*t + 39 = -73*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21.7 + 20. Let r = f - -1.7. What is the third smallest value in 2, r, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159675918 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-36) + 44\/176\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168 - 7100077561?\nAnswer: -7100077393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 12 = 2*j. Let g = -4 + j. Suppose 4*n + 3*c - 43 = g, 5*n + 9*c = 4*c + 60. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*i = 17*i + 18. Suppose 0 = 2*z - 4, 4 + 0 = 2*u - 3*z. Solve -u = i*m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -6*l + 5. Let t(n) = 8*n**2 + 57*n - 1. Let q be t(-8). Let h = q + -45. Solve -h = 5*z - 5*d, -d = 2*z - 2*d + l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17891 is divided by 218.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 + -15. Let t be ((-16)\/n)\/((-6)\/65). Let k = -158\/9 + t. Put k, 5, 3 in descending order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 14*w + 216. What is the units digit of v(59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 126, 122, 114, 102, 86?\n\"Answer: -2*a**2 + 2*a + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 131 + 340?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n - 2*n + 5*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 3*j - 8 = -25, -313 = 14*l - 13*l + 9*j + 13*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -33*p**2 - 18*p**2 - 11*p**2. Let d(w) = 2*w**2. Give d(m(h)).\nAnswer: 7688*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of 0 + 5\/6*c**3 + 9\/2*c**2 + 1\/12*c**4 + 7*c. Is o(-7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 556 (base 9) to base 12\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 5*i - 22, -2*t + t - i = -6. Suppose 5 = m + t. Solve -3*h**4 + h**4 + 3*h**2 + 0*h + m*h**4 + 3*h**3 + h = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 6:28 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5048132*s - 5757907 wrt s.\nAnswer: -5048132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283798.\nAnswer: 2, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1114439 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 0.4, -0.8, -9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1911823*l**3 + 4*l**2 - 1473364*l - 3 wrt l?\nAnswer: -11470938*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 320 - 317. Suppose f*o + 2*s = 624, -3*s = -5*o + 89 + 951. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 20*u**3 - 20. Let f(i) = -978. Let t(b) = -89. Let d(o) = f(o) - 11*t(o). Calculate a(n) + 20*d(n).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1345 smaller than -33533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 186 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(384) - sqrt(384))*1*-6)\/(sqrt(108)\/(sqrt(45)\/sqrt(405))*-6).\nAnswer: 16*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, e: 2, c: 1, b: 6, z: 3}. What is prob of sequence bzaz?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 819aa84 - -2?\nAnswer: 819aa86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*o - 2028 = -14*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8 - 153\/(-18))*(2 - 4). Let j = 0.2 - 0.1. Sort -1\/2, 2, j, x.\nAnswer: x, -1\/2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 184 + -180. Solve -8 = -d*c + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/140)\/((-2)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of f**5\/20 + 5*f**4\/6 + 3*f**3\/2 + 3*f**2\/2 + f. Calculate the remainder when 7 is divided by o(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-592)\/(-6993)*27)\/(2\/28)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*b**3*d**2 - b*d**3 + 11*b - 70*d**3 + 1 wrt b?\nAnswer: -18*b**2*d**2 - d**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -461 divided by -1214?\nAnswer: 461\/1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 982341723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4.3 times -4545.62\nAnswer: -19546.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 25080 = 4*a, -2*w + 70*a - 69*a = -16698. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 343202 + -1010?\nAnswer: 342142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1314.5 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1237 - -1236.9. What is the fourth biggest value in 0, p, -3, 4\/47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -6*j**3 - 37*j**2 + 71*j - 176. Let x(a) = 2*a**3 + 12*a**2 - 23*a + 58. Let m(u) = -2*r(u) - 7*x(u). What is the hundreds digit of m(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4*t + 0)*(20*t + 11*t - 13*t)*(t**2 - 2*t - 1 - 4*t**2 + 3*t).\nAnswer: -216*t**4 + 72*t**3 - 72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4423 (base 10) in base 3?\nAnswer: 20001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3579*i**4\/5 - 53691*i**3\/5 - 53703*i**2 - 89565*i - 150 = 0. What is i?\nAnswer: -5, -2\/1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -52396.59946 + 52395. Let m = s - -1.6. What is m rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*x - 131 - 45. Suppose -3*i + 71 - x = 0. Calculate the remainder when 76 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14869 + 25. What are the prime factors of j?\nAnswer: 2, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3063470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 times -7933?\nAnswer: 230057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - 2*y**2 + 2*y + 2. Let h = 18 + -13. Suppose h*j - j - 5*r = -21, 0 = j - 4*r + 8. What is the remainder when g(j) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 4:06 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -23.1 and -5.289.\nAnswer: 122.1759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -4*p - 4. Let f(n) = -10*n - 299. Let s be f(-30). Let r(q) = 3*q. Let x(u) = s*z(u) + 3*r(u). What is x(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6910*p = 1792*p - 567775 - 206703 for p.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2648159 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*s**2 - 3 - 63*s**4 - 2*s + 0*s - 68*s**4 - 2*s**3 - 68*s**4 + 200*s**4 in the form l*s**3 + h*s**2 + u + a*s + d*s**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11114719 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 772 - 240. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 2. Let r = -319 - -318. Which is the closest to g?  (a) 0.2  (b) -2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2053 + -2052.9. What is the third biggest value in -3, -10, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27014830 rounded to the nearest one hundred thousand?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14539107 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: Sort 438, -2\/11, 2\/15, -0.2, -2 in decreasing order.\nAnswer: 438, 2\/15, -2\/11, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41\/368 + -96129\/2576. Let u = n + 85\/2. Let g = -1266 + 17687\/14. Find the common denominator of u and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8476*y**2 + 9*y - 24535*y**2 - 9*y.\nAnswer: -33011*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2256 is divided by 1079?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14 and 51?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(160)\/sqrt(4))\/(sqrt(484)*1))\/(-6*(sqrt(200) - (sqrt(200) + -2*sqrt(200)*3))).\nAnswer: -sqrt(5)\/1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 156 - 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 1. Let n(s) = -s**2 - 10*s + 17. Let f(z) = -5*l(z) - n(z). Let v be f(-9). Solve 0 = -3*c + 5*t - v, 4*c + 0*t + 15 = t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 355407 and 4252266?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.19 - 0.39. Let o = -2 + 2.2. Which is the closest to h?  (a) 5  (b) o  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 8*a + 5. Suppose 55*x - 59*x = -284. Let k = x + -65. Let f(z) = -9*z - 6. Let r be (-1)\/(-4) + 19\/4. Calculate k*v(w) + r*f(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 1 + 5. Let k(d) = d + d + v - 3*d. Let s be k(2). Solve -p + s = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence axod when four letters picked without replacement from {a: 1, d: 1, o: 1, u: 1, x: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 17540.2 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2278 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*sqrt(1377)*-3 + ((sqrt(1377) + 1 + sqrt(1377))*4)**2)*4*5*-6.\nAnswer: -10577760 - 72360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*-3*sqrt(153) - sqrt(153))\/(2*sqrt(441) - sqrt(441)) + (sqrt(153)*-3*4)\/((sqrt(45)\/sqrt(5) + sqrt(9))*-6))**2.\nAnswer: 9792\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08358 + -0.2.\nAnswer: -0.11642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*r - 6*r + 457 - 139 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268445 is divided by 3129.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + o**2 + 2*o + 2. Let f be r(3). Let h = -21 + f. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-8))\/(-1*(-5)\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4350\/671, 0.4, -0.07 in decreasing order.\nAnswer: 4350\/671, 0.4, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1765*q - 1743*q - 440 = 0. Let h be 2\/(-2 - (-33)\/15). Calculate the highest common factor of q and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*p - 26*p + 34*p + 2 + 2 + 1504*p**2 to w + a*p + f*p**2 and give f.\nAnswer: 1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 16*j - 22. Let i be ((-3)\/15 + 1)\/((-3)\/45). Let p(a) = -a - 1. Let b(c) = i*p(c) + m(c). Find the first derivative of b(f) wrt f.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/(-7) - 1) + (-32)\/(-112). Let f = 4.6 + -5. Let j = f + 0.9. Which is the closest to -1?  (a) i  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 725315 - 2659004657\/3666. Calculate the common denominator of -85\/14 and x.\nAnswer: 25662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*195\/26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*j + 20 = 0, 2*w = -w + 4*j + 20. Differentiate -65*x**2 - 5*x**3 + 34*x**2 + w*x**3 + 53 with respect to x.\nAnswer: -3*x**2 - 62*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -157853, -157857, -157861, -157865?\n\"Answer: -4*l - 157849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58659.\nAnswer: 3, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*a = 101160 + 54358. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -d**2*y**2 + 63467*d*y**3 - 21791*y**3 wrt d.\nAnswer: -2*d*y**2 + 63467*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 19 + 133 = o, s - 1 = 0. Suppose 29*m = o + 180. Solve -8*v = -13*v - m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1423 + -1399. Let r(w) = 2*w - 37. Calculate r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -17225*m - 5*m**2 - 4*m**4 + 2*m**3 + 17225*m in the form b + o*m + s*m**4 + v*m**2 + y*m**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21211 + 120001122?\nAnswer: 112202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 253063778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8.074 * -696\nAnswer: 5619.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6709 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: Express (3 - 2 + 1)*(1 - 1 + u) + u + 2*u - 6*u in the form o*u + f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 + -20. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-18) - (-559)\/117. Let s be (5 + -19)*1*y. Which is greater: -69 or s?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/16)*j*j**(-2\/9))\/((j*j\/j**(-4\/7))\/(((j\/j**(3\/2))\/j*j*j)\/j*j)) assuming j is positive.\nAnswer: j**(-1241\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (5 + sqrt(1280) + -5 - -1*(-2 + sqrt(1280)))**2.\nAnswer: -128*sqrt(5) + 5125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((sqrt(480)\/sqrt(8))\/sqrt(4) + sqrt(15))\/sqrt(2352))**2.\nAnswer: -387\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 0.5, 50, -1, -25, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/414 and 11\/184.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 minus 2909?\nAnswer: -2908.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -217*j**2*t*x - 2*j**2*t + 4*j**2 + 26*t wrt x?\nAnswer: -217*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13475952 to the power of 1\/2, to the nearest integer?\nAnswer: 3671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7176 - 7176.000004053. What is j rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12 + 6\/3 + -6. Suppose h = 17 - v. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 8*b**2 - 3*b + 3*b. Let x(t) = -t. Give i(x(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (70\/(-30))\/(336\/(-144))*-59\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 10)*6\/(-66)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7300613984 to the nearest integer?\nAnswer: 85444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 450 and 180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 144*h - 15*h + 156*h - 2*h**2 to v + b*h + t*h**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - -1. Let y be 68\/18 - 2\/(-9). Suppose -3*g - u = -r, -y*r - 3 = -g - 15. Solve 3*x - x + 8 = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -9*r**2 - 61*r - 15. Calculate the remainder when 1439 is divided by y(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) - (-2 + sqrt(2)))) + 2 + sqrt(2) + 0)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*sqrt(400)*-4)\/((sqrt(125) + 2*(sqrt(125) - sqrt(125)*2) - sqrt(125))*-5).\nAnswer: 32*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2eb (base 15) in base 6?\nAnswer: -3035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -8*l - 14. Let s be g(-7). Suppose 3*i + 55 = 5*w, s = 3*w - 2*i + 8. Does 10 divide (-11)\/(-44) + 638\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 PM and 7:32 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 13 = 4*o, -45*o + 28 = -6*x + 18*o - 72*o + 38*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h**4 + h**4 + 4*h**4 + 4*h**4 - h**4 - 2*h**4 + (h**3 + 3 - 3)*(4*h + 4*h - 6*h) in the form v + c*h + i*h**2 + a*h**4 + p*h**3 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 + 24 - 13*a**3.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/7 in 0.8, 1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6260215*b - 6259974*b - 2169 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -512640700 rounded to the nearest one million?\nAnswer: -513000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*i = 585 + 624. Suppose 16*o = 13*o - 3*r + 30, -4*o + i = 3*r. Let m(x) = -x + 7. Give m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2540537261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3 + -1 + sqrt(80) + (sqrt(80)*1 + 3 - sqrt(80)))**2.\nAnswer: -8*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1)**(-48)\/(r**2\/r*r*r**(-3)*r)*(r*(r*r*r**0*r*r)\/r)**(-33)*r*r\/r**(-3)*(r**1*r)\/r assuming r is positive.\nAnswer: r**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**3\/g)*g**(2\/5)*g)\/(g*g**(2\/9)*((g*g**(1\/9)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 8 = 439*q - 439*q, -2*h = q + h - 0*h - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11052 is divided by 3649?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from idpgvzi. Give prob of sequence pzi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 81699*l**2*w**3 + 3135*l**2*w**2 - 890*l**2*w - 3*l*w**3 + l*w**2 + 3*w**3 wrt w?\nAnswer: 490194*l**2 - 18*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from jjdyjjdyddjyyyx?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.338866 to three decimal places.\nAnswer: 2.339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 40 - 41 - h + 3*h - 7*h**3 in the form k*h**3 + l*h**2 + n + r*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 6 = -4. Let f be g\/4 + 403\/26. Calculate the highest common factor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + 33*h**2 - 271*h + 10. Calculate g(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1110494, 1110700, 1110906?\n\"Answer: 206*i + 1110288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -x**6\/1980 + x**5\/33 + 7*x**4\/44 - 3*x**3 - 2*x**2 - 85. Let q(f) be the third derivative of y(f). What is t in q(t) = 0?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/11)*c*(c*c**13*c)\/c)\/(c\/(c*c\/((c\/c**(-5)*c)\/c)*c)*c\/((c*c**(1\/23))\/c)) assuming c is positive.\nAnswer: c**(2495\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 417*h + 5968 - 16948 = 112*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 + 10 = -27*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/9793 or 1?\nAnswer: 2\/9793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -502*t - 1954. Let x be b(-4). Solve -58*y + 20 = -x*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 - 29. Put q, 0.02, -0.2 in ascending order.\nAnswer: -0.2, 0.02, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4084)\/22462 + 7\/(-22) + -2*214\/40.\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/2 + -4 + (-90)\/105*-7. Solve -a*t + 6 - 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - g + 42. Let u be (-2)\/(-4) - g\/(-4). Suppose 0*o + u = -4*o. Let h(l) = -3*l**2 + l + 1. Calculate h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137255 is divided by 368.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 1264\/12181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -4*x + 8*x + 172, x = 5*p - 203. Let z be ((-7)\/2)\/((-70)\/p). Solve n + 10 = 5*t, -3*t - z*t = 5*n + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1015617 is divided by 1015610.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -68*y**2. Let u(x) be the second derivative of -13*x**3\/6 - x - 196. Determine v(u(r)).\nAnswer: -11492*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/4*4\/22. Let w = -16\/33 + g. Let a = 4.87 + 0.13. What is the biggest value in w, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -3 - (-3 + -5 + -52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from wwwewbb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 70500427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 t, and 1 w when three letters picked without replacement from {u: 2, m: 1, w: 3, b: 3, p: 3, t: 4}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 0 + 350. Let q = s - 44. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f + c = -32, 0 = 5*f + 3*c + 1148779 - 1148702 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3*u**2. Let v(n) = -9*n - 1100582. Determine v(l(a)).\nAnswer: 27*a**2 - 1100582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 63 + -55. What is the least common multiple of u and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n*((((n\/n**11)\/n)\/n)\/n)\/n))*n*n)\/n**(-9)*(((((n**(7\/2)*n)\/n*n)\/n)\/n)\/n*n)\/n**10)**(-34\/3) assuming n is positive.\nAnswer: n**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 19 = 7*k + 3*n, 2*n = -k + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 359 at least -31\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 952120 times 0.4\nAnswer: 380848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/3)\/h)**(1\/39)\/(h**(-1)\/(h*h*h\/((h\/(h*(h**(1\/3)\/h)\/h))\/h*h)*h)) assuming h is positive.\nAnswer: h**(389\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q + 34. Let k be g(-16). Let o(u) = 5*u - 8. Let n be o(k). Calculate the common denominator of 32\/5*(n + (-54)\/42) and 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkkklkkkkklkkklkk. Give prob of sequence llk.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1246072, -2492126, -3738132, -4984066, -6229904?\nAnswer: -7475622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 9*l - 3172. Let q(f) = 2*f. Give q(y(s)).\nAnswer: 18*s - 6344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 141246124913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4.278 and -13.\nAnswer: -8.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 6:17 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14, 70, 228, 542, 1066, 1854, 2960, 4438?\n\"Answer: 9*l**3 - 3*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*f = 12526 + 16202. Suppose 5*j + 2161 = 3*a - f, 5*a - 4941 = -j. Does 27 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -8\/11 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-56*k + 9*k - 39*k)*(-3*k - k**2 + 4*k - k**2) as t + v*k**2 + m*k + i*k**3 and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -813972 divided by 7017?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -281a (base 11) in base 12?\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-5)*h*h*h**(-1\/3)*h)\/(h**(-2\/7)\/(h\/((h*h\/h**(2\/25)*h)\/h))) assuming h is positive.\nAnswer: h**(4217\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzzzzzpzzzzzpzz. What is prob of picking 4 z?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-75)\/(-10))\/5 + 198)*(61 - 1) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23972873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, g: 1, m: 5, v: 1, r: 1}. What is prob of picking 1 r, 1 m, and 1 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*k - 142 + 299 - 155 + 525*k**2 wrt k?\nAnswer: 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -74*a**2. Let y(u) = -34*u**2. Calculate y(p(k)).\nAnswer: -186184*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 3. Let a = 1 + q. Put -5, a, 5 in ascending order.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-3 + (0 + sqrt(931)*2 - (-5 + -2*sqrt(931))))*2)**2.\nAnswer: 16128*sqrt(19) + 2145600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-1))\/3 - 23676. Let y = -6193 - d. Let b = y - 3084. Round b to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -336580*l**3 - 231014.\nAnswer: -1009740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/639 - 3845\/7029. Suppose 3*q = -4*c - 9747, q + c + 4*c + 3260 = 0. Let m = q + 16283\/5. What is the common denominator of m and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -608 + -659624468.\nAnswer: -659625076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 297 - 280. What is the highest common divisor of t and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 8*l + 27451*l**2 - 27468*l**2 + 8*l.\nAnswer: -17*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -19*s + 41. Let f be o(2). Let t(p) = -4*p - 4. Let z(q) = -5*q - 4. Give f*t(y) - 2*z(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38536548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*((k**(3\/2)*k)\/k)\/k*k\/(k*((k\/(k\/(k**9*k)))\/k)\/k))**(-46)\/(k\/((k*k\/(k\/k**(1\/12)*k)*k*k)\/k)*k**9)**(-2\/9) assuming k is positive.\nAnswer: k**(16253\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1e93 (base 16) in base 8?\nAnswer: -17223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -3*v + 23733, -v - 4*s = 2840 - 10758. Is v a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11\/51?  (a) 0.24  (b) -0.05  (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 14 = -4*y + 5, -2*x - 3 = 3*y. Suppose 0 = -2*m - r - 122, 4*m + 135 = 5*r - 95. Let j = m + 64. Put -8, y, j in descending order.\nAnswer: j, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away 11234?\nAnswer: -11236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2*((sqrt(832)*2*-5 - ((sqrt(832) + -1 + sqrt(832) - sqrt(832)) + -5 - sqrt(832))) + (sqrt(832) + sqrt(832)*-3*-5)*5))**2.\nAnswer: 38080*sqrt(13) + 16307489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -6 - -2 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2 = 3*s, -3*s - 8*y = -11*y. Which is the biggest value?  (a) 1  (b) s  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s - 14 - 10. Let n = -0.4 - 0. Which is the fourth biggest value?  (a) n  (b) 0.4  (c) -9  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9888.15 - 9925. Is -2 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*i**2 - 6*i**2 - 7*i**2 - 11*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 14 = 12. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -240 - -242. What is the nearest to k in -0.07, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1125, -9799, -33655, -80283, -157273, -272215, -432699?\n\"Answer: -1265*t**3 - t**2 + 184*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1848 and 14?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 1, x: 4, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((1\/(-2))\/((-2)\/(-44))*1759\/1759)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20601 and 38934.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2 = -2*u + 13, 4*u - l - 31 = 0. Suppose 7 = -5*h + a, 3*h + 3*a + u - 11 = 0. Which is bigger: h or 2\/179?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -30*f. Let u be i(-4). Suppose -5*c + 5*n = -u - 10, 110 = 5*c - n. Suppose 0*v - 5*v + c = 3*r, 3*v - 51 = -5*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -103736.284 + 104018. Let f = y - -0.084. Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1476\/1021 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(500) + sqrt(20) - (sqrt(20) + sqrt(80) + 3*sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) - sqrt(20)))\/(2*sqrt(196)*2*-5).\nAnswer: 23*sqrt(5)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 4*w + 38. Let q be y(-11). Let v(p) be the third derivative of -p**6\/120 - 7*p**5\/60 - 5*p**4\/12 - 4*p**3\/3 - p**2. What is the units digit of v(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10720 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((-12)\/102 - (-79)\/(-51)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*b**2 + 23*b - 4*b**3 - 22*b + 6*b**3 - 36*b**2 in the form h*b + x + p*b**2 + o*b**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-15))**(-29)\/(l**(-1\/4)*l**10) assuming l is positive.\nAnswer: l**(1701\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -4 - 2*g**2 + 3*g**2 - 4 + 8*g + 0*g**2. Does 20 divide t(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -7. Let w(o) = -2*o**2 + 17*o + 17. Let b be w(8). Suppose b = 5*v - n*u, -8*v = -3*v + u - 13. Calculate the least common multiple of v and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/3349 - 10231\/308108. Let d = 205\/644 + b. Sort d, 5, 1 in increasing order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -199\/3170193?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + u - 1. Suppose 0 = -4*w - 0*w - 4. Let d be l(w). Let z = -7989 - -47935\/6. Which is the closest to d?  (a) z  (b) 1\/8  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 6:03 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.5999864 + -2.6. What is t rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 392 (base 13) to base 8\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-130)\/(-7*(-4)\/(-70)) is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 5 + 13. Let f(l) = -l**3 - 10*l**2 - 8*l + 11. Let r be f(n). Solve -c = s + 3*s - 8, -r*s + 5*c + 26 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11324203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1057 + -1055. Let d(a) be the second derivative of 4*a + 0 + 1\/10*a**5 - 27*a**l + 9*a**3 - 3\/2*a**4. Factor d(f).\nAnswer: 2*(f - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 8 = 3*y. Let t be ((y - -1) + 2)*-1. Let x be 4\/(2*t + 3). Solve -15 = -c + x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -344 divided by -4.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 410751586?\nAnswer: 2, 7, 17, 1093, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)\/(-2*sqrt(10)) - (sqrt(441) + (sqrt(441)*2 - sqrt(441))))\/(sqrt(588)*5))**2.\nAnswer: 2523\/19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2846166, 5692330, 8538494, 11384658, 14230822?\nAnswer: 17076986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 804 and 28?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 21 = -23. Let u be (-11)\/((-11)\/(-8))*(-2)\/i. Solve u*a - 21 = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2422106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27*o**3 - 21979*o**2 - 139*o + 2397?\nAnswer: 162*o - 43958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187824*r + 93910*r + 4*r**2 + 3*r**2 + 93914*r.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 4*u + 5*l, 3*u + 8*l + 251 = 2*u + 270 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -11798*a**2. Let v(f) = -91*f. What is v(z(t))?\nAnswer: 1073618*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*y + 4*y - 172, 4*c - 684 = 5*y. Suppose 0 = -6*j + 34 + c. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -12351?\nAnswer: -12345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 69 + (21\/6)\/7*6. Suppose -104 = -c - r. What is the lowest common multiple of c and 22?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 634 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4278 + 4277. What is the third biggest value in -0.2, 4, w, 1\/6, 580?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**3 - 3*y**2 + 3*y + 4. Let a be k(4). Let b = 109 - a. Suppose -10*i - 219 = -b*i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 12) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {n: 1, w: 2, y: 3, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 31 and 1207977?\nAnswer: 1207977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23446, -46901, -70358, -93817?\nAnswer: -117278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 6*c = -120. Solve 40 = -5*x + c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 359\/4 - 81. What is the common denominator of w and 1\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1170 and 24.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + 3d552?\nAnswer: 3d555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (2 - -2) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from zzoftfzctozw.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 greater than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o + 0*o + 3*o)*(o + 0*o + o) + 38*o**2 + 12*o**2 + 21*o**2 - 1 - 2*o**2 + 1 + (-3 - 2*o + 3)*(2 - 2 + 2*o) - 3*o**2 + o**2 + 7*o**2.\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 433\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {o: 2, l: 10, g: 1, u: 1}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -174 - -6?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -63, -514, -1265, -2316?\n\"Answer: -150*m**2 - m + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*h + 1452*h = -502*h - 69046 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 - (1 - (-23 - -3)\/(-1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.4575 + -1.3575. Sort -14, -9\/4, b in decreasing order.\nAnswer: b, -9\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -100 - -59. Let g = o + 43. Solve 0 = -2*w + w + g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136*c - 128*c + 437640 = -256*c. Does 105 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/15695652 and -97\/975436?\nAnswer: 172652172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2012001101222011 + -11?\nAnswer: -2012001101222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 531\/20709*(2\/(-10))\/(4\/24)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -512793903*c**2*v - 44737395*c**2 with respect to v.\nAnswer: -512793903*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 11*z - 27. Let i(f) = -5*f + 13. Let g(h) = 13*i(h) + 6*t(h). Suppose -2*o + 5 = -3. Suppose -3*k = -2*j + 5 + 19, -o*k - j = 21. Give g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.72 + 0.28. Sort 0.04, u, -0.2 in decreasing order.\nAnswer: u, 0.04, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34340 - 7477.\nAnswer: -41817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r + 28, 0 = -2130*l + 2126*l - 2*r + 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 11 = -3*g - 4, -g + 6 = -4*a. Suppose g = -0*o + o. Suppose 0 = -f + 16 - o. Calculate the remainder when 54 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102002 (base 3) to base 7\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4911 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 28*y**2 - 62*y**2 + 30*y**2 + (0 - 2 + 5)*(4 - y**2 - 4).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*x + 3*x + 14*x)*(-3 - 2*x + 3)*(x + 4*x - 2*x)*(0 + 0 + 1).\nAnswer: -168*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 2*g**2 + 2*g. Let a = -12 + 14. Let j be p(a). Find the third derivative of 0*o**6 - 6*o**6 + o**2 - j*o**2 wrt o.\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9099887221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -168, -328, -478, -612, -724?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -247?\nAnswer: 5\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 15*f**3 - f**2. Let h be r(1). Calculate the common denominator of (-65)\/(-40)*(-14)\/(-4) and 61\/h - 1 - -1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5238\/17 + 308. Suppose -5*l + r - 6 = 1, -3*r = l - 5. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71256689 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -1.7  (c) -79  (d) 0.2  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 542088 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -1. Let l be s*-4 + (-2)\/(-2). Let r be l\/(1*9\/(-195)). Calculate the highest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, x: 5, e: 8, c: 1, r: 3, q: 2}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 144*v**2 + 3*v**3 - 144*v**2 + 2*v wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -8, 0.2, 7\/4, -1, 9, -1315?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 20*r**2 + 62*r + 143. Let c be k(-19). Which is smaller: c or -679?\nAnswer: -679","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1264 is divided by 223?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -11*n + 6. Let c(g) = 12*g - 8. What is 4*c(s) + 5*t(s)?\nAnswer: -7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + y. Suppose -1 = 2*b - z - 0, -1 = 4*b - z. Let k be f(b). Suppose k = 5*p - 3 - 17. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 21. Let m = l + 10. Solve -m = -4*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 35*m**2*s + 67*m**2 - 9*m*s - 6*m wrt s.\nAnswer: 35*m**2 - 9*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 10:48 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, -15, -56, -135, -264, -455?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1133629044 take away 28?\nAnswer: -1133629072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2573*k**3 - 67 + 32 - k**2 + 2522*k**3 to c*k**3 + g + z*k + v*k**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-1) + (-21 - -46). Suppose -g*u = -25*u. Solve u = -4*l - 4*b + 4, -3*b - 19 = -4*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*c = -4*q - 16, 2*q + 8 = 4*c. Sort q, 5, 1.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/10, 1\/4, 426 in decreasing order.\nAnswer: 426, 1\/4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 4*r**2 + 5*r - 48. What is the hundreds digit of p(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(51)*-5)\/(sqrt(3) - sqrt(9)\/(sqrt(6)\/sqrt(2)) - sqrt(3)))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19034 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4635 (base 7) to base 8.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + t**2 - 2*t**2)*((-t + 2*t + 0*t)*(-33 + 14 - 9)*(-2 + 1 + 0) + 0*t - 3*t + 5*t).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/946 and -73\/86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d - 7. Let n(g) = g + 3. Let c(x) = 14*n(x) + 6*w(x). Let f = -38 - -76. Let s(u) = -f*u + 20*u + 21*u. Give c(s(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(245) + 3)*3)**2*4 + -3.\nAnswer: 1008*sqrt(5) + 8961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((2 + (-5*(sqrt(60) + sqrt(540))*2)\/((sqrt(108) + (sqrt(108)*1 - sqrt(108)))*-6))*5)**2.\nAnswer: 2000*sqrt(5)\/9 + 57938\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 1\/32, -1\/3, 0.5, -3\/8 in ascending order.\nAnswer: -3\/8, -1\/3, 1\/32, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3345, 3323, 3295, 3267, 3245, 3235, 3243, 3275?\n\"Answer: h**3 - 9*h**2 - 2*h + 3355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -4*z - 61. Let t be (-163)\/(-1*(-3 - z)). Let h = -14 + t. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 11:15 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*h + 29 = -o + 164*h, h = -5*o - 40 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -x**5\/12 + 369*x**2. Let c(g) = 4*g - 5 - 2*g + 0. Let v(s) = -s + 2. Let j(a) = -2*c(a) - 5*v(a). Give r(j(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2631 is divided by 1307.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 17292 divided by 11\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 282348607 >= 282348605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -262696490 divided by -5\nAnswer: 52539298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2b3c3f7 + -4?\nAnswer: 2b3c3f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 274671867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 = b + 53 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 190.1 + -220.33. What is j rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 5*u**2 + 3*u + 4. Let l be s(3). Find the common denominator of (l\/(-15))\/((-11)\/57) and 54\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 61 - 56. Let x be h - (-276)\/(-162)*(-6)\/(-2). Which is the nearest to -0.2?  (a) -4  (b) -2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15028285 - -15028283.5139403. Let h = 1.486 + z. Round h to six dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75\/2*i**2 - 15\/2 - 145\/4*i - 35\/4*i**3.\nAnswer: -5*(i + 1)*(i + 3)*(7*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 44720961 + -3?\nAnswer: 44720958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11798 - 4173. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -101949, -407733, -917341, -1630773, -2548029, -3669109, -4994013?\nAnswer: -6522741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -43491, -43490, -43489, -43488, -43487?\n\"Answer: q - 43492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 5*k + 195, -x - 4*x = -k - 215. What is the greatest common factor of x and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - c - 15. Suppose -1037*s - 206 + 54 - 885 = 0. Sort c, 19, s in descending order.\nAnswer: 19, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -s**3 - 2. Let j(l) = -4*l - 8. Let g be j(-1). Let p be ((-2)\/g)\/((-3)\/6). Give v(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 332, 336, 340, 344?\n\"Answer: 4*w + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.16, 711, -1 in descending order.\nAnswer: 711, -1, -2.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 2:35 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 3:15 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1212320 + -22221?\nAnswer: 1130033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2794530638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 2. Let c(y) = -2*y + 5*y**2 + 8*y**k + 2*y**2 + 3. Is c(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b - 10. Let h(o) = o. Let a(n) = 5*n - 5. Let w(z) = -a(z) + 3*h(z). Let v(p) = -3*u(p) - 5*w(p). Let y be v(-7). Which is smaller: -3\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 411, -4, 5, -1045 in descending order.\nAnswer: 411, 5, -4, -1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ncc when three letters picked without replacement from {c: 2, p: 3, o: 1, n: 2, u: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Are -150 and -158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**4)**6\/(g**(-2)\/(g*g**(2\/17)*g*g*g)) assuming g is positive.\nAnswer: g**(512\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64829*f = -64815*f - 173614. What are the prime factors of f?\nAnswer: 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -17871, -19640, -21409, -23178, -24947?\n\"Answer: -1769*c - 16102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z - 3*z + z)*(-2*z - 3*z + 4*z)*(0*z + 0*z + z**2).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 220, 223, 228, 235, 244, 255, 268?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*t - 5607 = 81512 + 5329. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3360 divided by -420\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 973272.6 years in months?\nAnswer: 11679271.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p**2 - 2*p + 183. Let o be m(0). Suppose i + 3*n + o = 0, 0 = 3*i - 2*i + n + 183. Which is bigger: 1\/4 or i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -116, -3, 18, 3, -1 in decreasing order.\nAnswer: 18, 3, 1, -1, -3, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2570370 is divided by 428390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4691292 + -3.6\nAnswer: 4691288.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203*f - 184*f - 19 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, o: 4, z: 2, w: 2}. What is prob of picking 1 z, 2 y, and 1 w?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/14)\/((-221)\/(-91))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(4\/(-8) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/6)\/(159\/((-48654)\/680))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 74434340 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.01699 - -0.18301. Suppose 0*w - 3*w = 3. Let a be (-4)\/(-12) - w\/6. What is the nearest to 0.2 in z, a, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 27*w**2 + 340*w - 1373. What is a(4)?\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**4\/5 + 244*l**3\/5 - 3898*l**2\/5 + 16016*l\/5 = 0 for l.\nAnswer: 0, 7, 11, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 6) + (-5 - -1) + (11 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -172, 4, 54, 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147) + 3*(sqrt(147) + 0).\nAnswer: 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8467 * -0.0376.\nAnswer: 318.3592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r - 1. Let q(d) = -44*d**3 + 7*d - 4. Give 6*o(c) - q(c).\nAnswer: 44*c**3 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**4\/12 + x**3\/6 - x**2\/2 - x. Suppose 5*j + 44 = -31. Let o be (-30)\/(-12)*(-12)\/j. Calculate n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1505446 and 916.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31714.15l?\nAnswer: 31714150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 837101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c + 11*c**2 + 5*c - 4*c to z + u*c + v*c**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -3 - (1 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22095 + -21660. Calculate the least common multiple of 495 and g.\nAnswer: 14355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -133100 (base 4) to base 12\nAnswer: -11a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-372)\/(-8))\/(-3))\/(1\/(-2)). Solve 6*b + l = 2*b - 3*w, -b + 4*w + 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 832*s - 1489. Let h(o) = 500*o - 744. Determine 3*g(r) - 5*h(r).\nAnswer: -4*r - 747","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 71168 and 58112.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 + 4*p**2 - 3*p**2)*(-24*p - 28*p + 81*p) + 0*p**3 + 2*p**3 + p**3.\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21 - 402?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 0 + -2 + (14 - 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -8191312161 to the nearest one hundred thousand.\nAnswer: -8191300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*p - 5 = -55. Let y(s) = s**2 - 5*s - 10. Let m be y(p). Solve t - 16 = m*z - 3*t, 10 = 5*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 2. Let b = 3 - i. Suppose -b*a = -3 - 5. Solve 3*v = -4*g + 27, 2*v = -0*v + 2*g + a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -73*m**4 + 29196*m**3 - 2947381*m**2 + 5620158*m + 316808 = 0. Calculate m.\nAnswer: -4\/73, 2, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -15*p + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -794  (c) 0  (d) 1  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4\/8 - 4*x**3 - 71*x**2\/4 + 228*x - 3249\/8.\nAnswer: -(x - 3)**2*(x + 19)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -3.3. Suppose 0 = -5*w + 2*l + 94, -3*l - 60 = -2*w - w. Let t = w + -19. Which is the nearest to 2?  (a) t  (b) m  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + c + 46, 5*k + 3*c + 0*c - 104 = 0. Solve 5*b = -2 + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49537\/3*(7 - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 10. Suppose -4*y - 20 = -0*a - 3*a, -i*a = 5*y + 25. Solve -3*p = 5*n - 9, -4*p + 12 = -a*p + 3*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-117)\/12 - (-46145)\/3356?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, v: 4, a: 5, m: 6}. What is prob of sequence vvpv?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1688338 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 4*x**3 - 195*x**2 - 7*x - 6. Let c(i) = -7*i**3 + 391*i**2 + 13*i + 11. What is -6*c(v) - 11*n(v)?\nAnswer: -2*v**3 - 201*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 33 in ascending order.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.02, 10, 1\/27, -0.5 in ascending order.\nAnswer: -0.5, -0.02, 1\/27, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.058 + -0.038. Put q, 0.5, -9 in descending order.\nAnswer: 0.5, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -179 at least -771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 3*n + 2*t + 8, 5*n = -t + 3. Suppose 5*v = 4*v - n. What are the prime factors of 385\/10*(1 - v)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23000695219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6825, 5, 3, -0.1 in decreasing order.\nAnswer: 6825, 5, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -97.841499566 and 71.\nAnswer: -26.841499566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4343886 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2102 (base 4) to base 10.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 98776930600 to the nearest one million.\nAnswer: 98777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -27, -19, -21, -33, -55, -87, -129?\n\"Answer: -5*z**2 + 23*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 11, q: 1, d: 1}. What is prob of picking 2 s and 1 q?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w + 2. Suppose 4*u - 2*f = 3*u + 5, f = 5*u - 7. Let p be q(u). Suppose -8*t + p*t + 12 = 0. Solve d + 6 = t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + b + 5, -3*b + 0*b = -3*a + 9. Let g(m) = 2*m**3 - m**2. Let k be g(a). What is the units digit of (6\/(-12))\/(k\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -2\/38861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -11\/3  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 233830 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -588938106704.3.\nAnswer: -588938106703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2 = t - 6, 0 = t - 4*u - 10. Suppose 4*w + 28 = 5*s - 2*s, -s = -t*w - 10. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-27) + 5\/((-135)\/(-6)). Let q(l) be the first derivative of -l + p*l**2 - 1\/3*l**3 + 2. What is the derivative of q(n) wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ztzpzzzgstsztpppzo. What is prob of sequence otg?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/((u\/(u**(-12\/13)*u))\/u)*u\/(u**(-3\/4)\/u) assuming u is positive.\nAnswer: u**(199\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 171183 (base 9) to base 6.\nAnswer: 2134033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7374\/9 - 4\/12 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + v - 1. Let x be y(-2). Suppose 19 = l - 3*l - x*o, 0 = -3*l - o + 4. Suppose l*i + g - 156 = 0, g - 195 = -4*i + 4*g. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3281*b + 5133510 - 5133510)*(1 + b - 1).\nAnswer: 3281*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 + 72*q**2 + 33264*q + 1693440.\nAnswer: -(q - 240)*(q + 84)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-73)\/(-6) - (-6)\/(-12))*18. Let j be 6\/21 - (729\/m)\/9. What is the third biggest value in j, 1, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + a + 4. Let n be (a\/3)\/((-2)\/12). Factor -6*x - x**n + x + 2*x + 2*x.\nAnswer: -x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*x - 1 + 2 = 0, -5*u - x = -6. Let y be u\/4 - 9\/36. Suppose y = 2*m + 2*m - 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of v**5 - 41*v**3 + 704*v**2 - 1697*v - 16.\nAnswer: 20*v**3 - 246*v + 1408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -20, -49, -92, -161, -268, -425?\n\"Answer: -2*z**3 + 5*z**2 - 30*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 9:42 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 53549453 to the power of 1\/2, to the nearest integer?\nAnswer: 7318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 145 = 3*d, -5*z + 261 = 2*d + 85. Let q = 4 - 2. Calculate the remainder when z is divided by 14 + -4 + q + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 197, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13913351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -210112 (base 3) to base 12\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -77*(6 + -7) + -1 + 1. Let c = z + -15016\/195. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + 26 + -10 - (-2 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367*x + 9 = 3*i - 365*x, x = -5*i + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 - 34. Suppose 0 = -t*p - 3*p + 15. Suppose 0 = p*o - 2*o - 168. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46833672.\nAnswer: 2, 3, 1951403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is b2 (base 14) in base 15?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -31*t - 3100. Let c(h) = 17*h + 1548. Calculate 11*c(a) + 6*x(a).\nAnswer: a - 1572","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -92*z**3 - 135*z + 136. Give o(1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84598 + 109939 = 548*b - 5223*b - 221538 for b.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 3. Suppose 3*g - 35 = 8*g. Let m be (-1 - 0\/2) + -9. Let y = g - m. What is n(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-1 - 8 - 2) - (17 + -14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 12, r: 4, u: 4}. What is prob of sequence urrr?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-27)\/(-18))\/(3\/306) is divided by 85?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -43394*t**3 - 7*t - 14. Let i(q) = -28929*q**3 - 5*q - 10. Give -7*i(j) + 5*p(j).\nAnswer: -14467*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2*t + 11 = 0, 4*z + 11 = 3*t - 0*t. Let w(g) = g**2 + 6*g + 8. Let d be w(z). Determine a so that 10 - 18*a + 20*a**2 - 2*a**d - 5 - 4*a**3 - 1 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 16*r + 9. Let s(x) = 49*x + 24. Determine -7*h(p) + 2*s(p).\nAnswer: -14*p - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence suj when three letters picked without replacement from {u: 1, v: 10, j: 1, k: 5, o: 1, s: 2}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 PM and 9:59 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 544 - 1864 = 66*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3250 is divided by 325.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1004 and 120131612.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 - 11. Suppose i + i = d. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001728 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -153.7 + 152.8. Let w = 0.18 - 0.18. Which is the closest to w?  (a) u  (b) 3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*-0.423.\nAnswer: -0.00423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/46282 and -81\/1364368.\nAnswer: 99598864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**3 + 5*j**2 - 100*j.\nAnswer: 5*j*(j - 4)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 312950 to the nearest one thousand.\nAnswer: 313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*c - 51*c - 34*c**4 + 25*c + 10*c**4 wrt c.\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2722b + 423?\nAnswer: -26c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**2 + 0*l**2 + 3*l**2)*(33*l**2 + 41*l**2 - 40*l**2).\nAnswer: 68*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 722 - 719. Suppose 4*o - 577 = -g*a, -3*a + 995 - 270 = 5*o. Calculate the remainder when o is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 110087 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42 - (-58 + 4))\/(9\/42).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -52850714 and -52850713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -68, -2, -3, -1 in ascending order.\nAnswer: -68, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 1\/4, 2, -0.1, 0.92 in decreasing order.\nAnswer: 2, 0.92, 1\/4, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (52\/(-234))\/(14\/(-18))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/((-280)\/(-46)))\/((-1)\/8)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 3*z - 5*z)*(1 + 2 - 1)*(1 + 1 + 1)*(-78*z + 57*z**2 + 78*z - z**2 + 0*z**2 - z**2 + (3*z - 2*z - 2*z)*(z + 0 + 0)).\nAnswer: -972*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 315 + -304. Suppose 20*w = h*w + 27. Solve 2 + 10 = -w*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 22 - (-563 + 519) - 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 9*l**2 + 10*l + 9. Let t be b(-10). Suppose -a = -t + 1. What is the greatest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 190*h**2 - 27*h + 13. Let z be x(8). Is z\/15 + 12\/(-90) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/20584789 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3*b + 30. Let x be w(5). Let r(u) = 2*u - 6. Calculate the remainder when 43 is divided by r(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -144 divided by -72\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (27\/18*16)\/3. What is the greatest common factor of 220 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 2111230100111?\nAnswer: -2111230100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.986173161 rounded to 2 decimal places?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 72 - 1ae0?\nAnswer: -1a6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2877d6 (base 16) in base 11?\nAnswer: 1551637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0\/901*3\/(-42)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 564*q**3 + 5*q**2 + 643*q + 5. Let m(t) = 282*t**3 + 2*t**2 + 322*t + 2. Let j(x) = -2*c(x) + 5*m(x). What is the second derivative of j(s) wrt s?\nAnswer: 1692*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -70 - -89. Solve -4*p = j - 39 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12869 is divided by 3090?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*k + 299 - 59 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (23 - 7) - (-1 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of -2*n**3 - 5*n**2 + 74*n - 84. Differentiate t(g) wrt g.\nAnswer: -12*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12040738 and 3223092.\nAnswer: 13102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m = 9*m + 4. What is the smallest value in m, -1, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*25*766\/(-1915)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 5*m + 8073, -153663 = -19*y - 24*m + 27*m. What are the prime factors of y?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**5\/30 - l**4\/4 + l**3 - 3*l**2. Let t be (-6)\/4*108\/(-81). Let f be m(t). Solve f = 2*r - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f**3 + f - f - 4*f**3 + 17*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*w + 4*w - 3*w)*(423638*w + 2209*w**2 - 423638*w) in the form a*w**3 + j + p*w**2 + m*w and give a.\nAnswer: -4418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, -0.03, 0.1, 11?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 52\/8 + (15\/1)\/(-3). What is the nearest to -7 in z, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zji when three letters picked without replacement from {z: 4, i: 2, j: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1236076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 32 = -3*n - 4*o, 5*n - 2*o = 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -81*x**5\/40 - 27*x**4\/4 + x**3\/3 + 2*x**2 - x. Factor i(o).\nAnswer: -(o + 2)*(9*o - 2)*(9*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3300874 + 6601750 - 3300874 - 32*t.\nAnswer: -32*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-two fifths of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -133265, -265064, -395397, -524264, -651665, -777600?\nAnswer: -902069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wqnjolnnnqnnjnnjnw. What is prob of sequence low?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 442e32 (base 16) to base 15.\nAnswer: 5d3dee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of 2*b**3 - 5*b**2 - 4*b + 8. Determine r, given that i(r) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 0.3, -2, 303 in decreasing order.\nAnswer: 303, 0.3, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ces when three letters picked without replacement from {q: 1, u: 1, e: 1, c: 1, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -13 + 12a0?\nAnswer: 128a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-2 + -10 - -4) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13637936 is divided by 630.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*t + 4*w - 8 = 29*t, 5*w = 2*t - 81 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m + 23 = -7. Let i be 3 + m - 12\/(-3). Suppose i*k = -4*p, 5*k + 3*p - 8*p = 0. Solve k = 3*l - 4*l + 2*v - 13, -3*l = -2*v + 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 - 6365*o**2 - 1648650*o + 10122120.\nAnswer: -5*(o - 6)*(o + 372)*(o + 907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*h + 385 + 1785. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 7*g - f - 13, -5*f - 15 = 0. Let d = -1.29 + 6.29. Let r = -4.6 - 0.4. Which is the third smallest value?  (a) d  (b) g  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216 = -50*o + 42*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*r = -17, -4*r + 2 = -5*b + 15. Suppose b*k = 10*k. Let x(h) = -5*h**3 + h - 1. Let l be x(1). Put k, l, 4 in decreasing order.\nAnswer: 4, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2010 at least as big as -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 2 + 7 = 3*w, 3*r = 2*w - 6. Let z = 564 - 811. What is the least common multiple of z\/(-8) - (-123)\/984 and w?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.728 - -0.528. Let t be ((-4)\/((-80)\/6))\/((-9)\/4). What is the closest to 0 in -2, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -90 - -86. Let b be u*2\/6*-3. Solve -3*n - b*z = -1 + 3, 5 = -4*n - 3*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15549 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 236 = 235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 508.4296 + -0.7296. Let s = c - 508. Is 3 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1879, -3759, -5637, -7513, -9387?\n\"Answer: k**2 - 1883*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10359\/874 - 429\/46. Find m such that 40\/19 + o*m + 18\/19*m**2 + 2\/19*m**3 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 19*w - 175. Let m be y(9). Which is the nearest to 0.1?  (a) 2  (b) -0.97  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*g*k**3*s*x - 6*g*k*x - g*s**3*x - k**3 - 10*k**2*s**3*x + 2*s wrt g.\nAnswer: 4*k**3*s*x - 6*k*x - s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 2 l, and 1 a when four letters picked without replacement from {a: 3, l: 6, r: 6}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 861 or 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6 + (-6)\/6 + 164\/24. Put -6, b, -2\/13 in decreasing order.\nAnswer: -2\/13, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/41  (b) 0.2  (c) 2  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4508 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0.01, 21, -0.4, 2, 17 in ascending order.\nAnswer: -0.4, 0.01, 0.1, 2, 17, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1215 + 64*n + 1214 - 6*n)*(-2*n**2 + 4*n**2 + n**2).\nAnswer: 174*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-1.391.\nAnswer: 5.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3240 = -39*u + 3*u. Calculate the least common multiple of 405 and u.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1879 or 249873\/133?\nAnswer: 1879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, 5, 546, -5 in increasing order.\nAnswer: -5, 2\/13, 5, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -475*a*f*i + 7*a*f - 3*a - 2*f*i - 6*f wrt i.\nAnswer: -475*a*f - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 24*x**2 - 29*x - 696. Let u be s(-24). Let w(a) be the second derivative of 34*a + 23\/6*a**3 + 0*a**2 + u. Let n(r) = -r. Calculate w(n(y)).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 AM and 4:59 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 106086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 5 + 5)*(3 - 2 + 2) + (-3 + 2 + 0)*(2 - 1 + 1) + 1 + 2 - 2)*(43*v + 0 + 2 - 30*v).\nAnswer: 104*v + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -9  (b) -0.4  (c) 0.03  (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 709 + -709.2. Which is the third smallest value?  (a) 21\/22  (b) 4\/7  (c) 5  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 + 5\/(-2))*(1 - 1). Which is the second biggest value?  (a) 1  (b) v  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(484)\/(sqrt(44)\/sqrt(4)))\/sqrt(4))**2*-5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = c - 4*k, 0 = 2*c + 2*k - 3*k + 39. Let w = c + 23. Find the third derivative of -27*s**w + 2*s**2 + 25*s**6 + 15*s**2 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from ffgsaffffgsg?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32977*q + 16490*q + 5*q**3 - 38*q**3 - 28*q**3 + 16487*q.\nAnswer: -61*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 60*r**3 - 7*r**2 - 9*r - 7. Let n be g(-7). Let v be (-5)\/(-5) - n\/5526. Let m = 1\/614 + v. What is the common denominator of m and 43\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 772785.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 3)*(s**5 - 2*s + 2*s) + (6676*s + 7993*s - 13386*s)*(-s**4 + 5*s - 5*s).\nAnswer: -1282*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -16  (b) -2027  (c) -7  (d) -0.03  (e) -0.5  (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*o**3 + 41773*o**2 - 72669340*o - 133367564.\nAnswer: -(o - 3482)**2*(6*o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10447616 and 283471.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b + 7*b - 3*t + 26, -3*b = 5*t + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 less than -150484.238?\nAnswer: -150761.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/8616 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 845 or 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 134 - 116. What is the third smallest value in z, 1\/2, 2, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24.6 + -24.566. Let k = q - -0.176. Let s = -41 + 288\/7. Which is the biggest value?  (a) k  (b) s  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 7*s**2 - 7*s - 6. Let f be q(8). Let d(j) = j**3 + 3 + 3*j + 0*j**3 + 2*j + 3*j**f. What is d(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/8  (b) 260  (c) 7  (d) -28\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7220 = 120*i - 500*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 - 4 + 1 - 3*w + w**3 + 2. Let c(s) = -s**3 + 3*s**2 + 5*s + 2. Suppose 0 = -3*o - 5*n + 29, 8*o = 10*o - 5*n + 14. Calculate o*c(m) + 5*z(m).\nAnswer: 2*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8375266 rounded to three dps?\nAnswer: -1.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8274 - -8194 - (-96 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.2 + 3.1. What is the smallest value in 0.5, 1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ees when three letters picked without replacement from esep?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1739.129616us to weeks.\nAnswer: 0.000000002875545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 103, -4\/3, -0.13 in descending order.\nAnswer: 103, -0.13, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - a + 3 = 0, -5*o - a = -3*a + 6. Suppose -q - 63 = 4*l, -2*l + 3*q + 77 = -7*l. Let d = o - l. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 3*p + 3. Let h = 13 - 15. Let j be z(h). Which is greater: j or 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 5*x + 16 = 0, 4*i - 4 = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, e: 3, o: 6, f: 3}. Give prob of picking 2 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 169*j - 20*j - 23*j to w + x*j and give x.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/3 and 3 - (1017\/246 - 1)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -cb7 - -1?\nAnswer: -cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 161 = -3*r. What is r rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*((0 - -2) + -5). Suppose -3*n = -4*b + x, -2*n = -b - 3*b + 14. Solve 0 = -5*y - b - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 j be (-16)\/(-9) - 14\/63*-1. Find the second derivative of 107*l**3 - 9 + l + 104*l**3 - 209*l**3 + 5*l**j wrt l.\nAnswer: 12*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 245039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5210*m - 3389*m - 3078*m)*(-4*m**2 + m - m**2 + 4*m**2).\nAnswer: 1257*m**3 - 1257*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -1081*d**2 + 69*d - 69. Let y(b) = 32*b**2 - 2*b + 2. Let l(t) = -2*h(t) - 69*y(t). Let v(u) = -u. What is v(l(q))?\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 172556299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-13495 + -89)\/(-2*(-3)\/20000). Round i to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 69.99981 months?\nAnswer: 0.58333175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+-202783\nAnswer: -202782.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7928, -7936, -7944, -7952, -7960, -7968?\nAnswer: -7976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 47*l**3 + 378*l**2 + 14*l - 14. Let b be o(-8). Let f(t) = 25*t**2 + 8*t - 9. Determine f(b).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -75701 (base 13) to base 9\nAnswer: -352842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*b = -2*d - 11, 5*d = 5*b + 10. Suppose 36 + 24 = 4*y. Let r = y + b. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 33 = -o + 6*o, 0 = 2*c - 3*o - 27. Let t(v) = -5 - 6 + 11*v - 4*v**2 + 3*v**2. Let g be t(c). Solve -3*n - 3*d = -3, -5*n + g = -6*n + d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -631610.43 to the nearest 100.\nAnswer: -631600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/52 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 857 a factor of 227356768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -v**7\/2 - v**6\/5 + 21*v**5\/20 + v**4\/2 - 762*v. Let j(i) = 0. What is i?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*a + 1 + 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of 2*s**3\/3 + 25*s**2\/2 + 13*s + 116. Let w be t(-12). Solve 0 = 2*u + k - 6, 4*u - 3*k - 1 = w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1605, -6323, -14185, -25191, -39341, -56635?\nAnswer: -77073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - m + 2. Let o be q(-2). Suppose -116 = -o*h - 5*h - 3*l, -4*h + 78 = -5*l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.2 + -1.8. Let r = 148\/91 + -23\/13. What is the nearest to 0.65 in k, r, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q**2 + 8*q + 3. Give v(7).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -8*h + 10. Suppose 4 = h*l - c, 5*l + 0*c - 5*c - 10 = 0. Solve -l*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + 0. Suppose 17 = v*x - 95. Let n = x + 4. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 510*m**3\/7 + 536*m**2\/7 + 26*m\/7 = 0.\nAnswer: -1, -13\/255, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -21. Let c = s + -6. What are the prime factors of 22 + (-3)\/((-9)\/c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 625, 636, 663, 712, 789, 900, 1051, 1248?\n\"Answer: t**3 + 2*t**2 - 2*t + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10456\/19 or -54?\nAnswer: 10456\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 3:06 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5\/3  (b) -64  (c) 2  (d) -1.103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 4*j - 48 = 0, -48 = 2*t - 5*j + j. What is the hundreds digit of (5984\/t)\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1419440.206 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - (-5)\/(3 + -2). Let a = -1 + q. What is the third derivative of a*b**2 - 5*b**2 - 5*b**5 + 4*b**5 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -f**4*z**3 + 52*f**3*z**3 + 6*f**2*z**3 + 5*f**2*z**2 + f**2*z wrt f?\nAnswer: -24*f*z**3 + 312*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 2, e: 1, h: 1, j: 4}. What is prob of picking 1 g and 1 h?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*c**2\/7 - 3124*c\/7 + 1248\/7 = 0. What is c?\nAnswer: 2\/5, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/145 + -268\/1595. What is the smallest value in r, 10\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21728\/(-1008)*1\/4 and -65\/376?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 divided by 1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 - 480*h + 19200.\nAnswer: 3*(h - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 229 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -957286000012 and 500?\nAnswer: 957286000512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-5 - -4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-12)*-2042 - 30\/(-45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 + 5*y - 5. Let k be m(5). Suppose -19 = -3*r - 5*u, -7*r + 2*r = 2*u. Sort r, -4, k in increasing order.\nAnswer: k, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 4\/3, -4\/7, -8\/12877, 3, -7?\nAnswer: -8\/12877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 l, 1 v, and 1 z when four letters picked without replacement from {j: 2, e: 2, l: 4, z: 3, v: 1, i: 2}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)\/(sqrt(4) - (sqrt(4)*-3 - sqrt(4))))\/(-3*sqrt(9)*-4 - sqrt(9)) + 1)**2.\nAnswer: 2*sqrt(7)\/55 + 3032\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1 - ((10 - -15) + -12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1522*f - 96660 = 626*f for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 15 = -3*o, -2*g - 4*o + 3 = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -211022 + 201222120?\nAnswer: 201011032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2339 + -2335. What is the nearest to f in -82, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111001101000101010010001 + -101?\nAnswer: 1111001101000101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -13470567 equal to -13470566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from ddtrrtdrrrrussf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of 443*c**5\/60 + c**4\/8 + 15*c**3\/2 - 61*c**2. What is the second derivative of n(g) wrt g?\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12118 >= 12118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -3*l - 1. Let o(k) = k + 1. Give 2*o(i) + y(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3022, 3034, 3046?\nAnswer: 3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 17*h - 159. Let r(b) = 41*b - 316. Determine -4*r(n) + 9*v(n).\nAnswer: -11*n - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42*(-16)\/128*144\/(-126)*(-14)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 161*b - 156*b - 6 = 0, -b = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2*w + 5. Let i be k(0). Suppose -y = -i*y. Suppose -d + 3 + 17 = y. What is the remainder when 77 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -8*f**3 - 4*f**2 + 4*f - 19. Let n(p) = 15*p**3 + 10*p**2 - 9*p + 39. What is -2*n(i) - 5*s(i)?\nAnswer: 10*i**3 - 2*i + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(1377) + -2*sqrt(1377) + sqrt(1377)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 204.1 - 0.2?\nAnswer: 203.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - -21 - ((50 - 53) + 0 + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(-5*b + 3*b - 4*b) + (-10 - 2 - 1)*(3 - 2*b - 3).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 41172340 and 3742940.\nAnswer: 41172340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6774511 is divided by 6774490.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 825 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (25\/9)\/(35\/21*(-14)\/(-210))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(60)\/(sqrt(12)\/sqrt(4)))\/((sqrt(120) - (sqrt(120) - (sqrt(120) - (sqrt(120) + -2*sqrt(120)))))\/sqrt(12)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36630 = 38*s - 27*s. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*1\/2*31688\/18640*-1*4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 126\/105*(3 + 28\/(-6)). Let c(u) be the second derivative of 0 + u + 1\/3*u**3 + 1\/4*u**4 - u**2. Give c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 6*l - l. Let o be l\/2*(-3 + 4). Suppose -5*t - o = 1. Is -2\/3 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -3*d + 9, d + 0*d - 3 = -w. Suppose -7*y = d*y - 2*y. Suppose y = 2*l - 2 - 6. Solve -4*h + 2*g = -g + 4, 2*h = -l*g - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22067?\nAnswer: 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4065*o + 0 + 7 - 3 - 4)*(-7*o**2 - 22*o + 22*o) + (4*o - o - o)*(-5*o**2 + 4*o**2 + 0*o**2) to c*o + t + a*o**3 + m*o**2 and give a.\nAnswer: -28457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 2*d**2 - 6*d - 11. Suppose 0 = -3*m + 3*x - 6, 0 = m - 8*x + 9*x + 8. What is the tens digit of w(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -193*w + 11*w**4 + 193*w + (3*w**2 - w**2 - w**2)*(-3 - 2*w**2 + 3) + 30*w**3 + 14*w**4 - 30*w**3 to y + a*w**4 + n*w + h*w**2 + g*w**3 and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vqqvqqqvvvvv.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 7 - 2 = 0. What are the prime factors of -1*h + (0 - -36)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 2*x + 3*x)*(4*x - 10*x - 5*x)*(0 + 2 - 4).\nAnswer: 110*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 12 = -v + 4*d, v + d = 8. Suppose -v*g + 108 = 4*k, 104 = 4*g + k + 2*k. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*(-4)\/(-120) - (8 - 2644\/280)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -421, -420, -417, -412, -405, -396, -385?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + 51*o + 258. Let w be d(-5). Solve w*a - 20 = 64 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 + 2\/5 + 9\/5*j.\nAnswer: -(j - 2)*(5*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 10*y**3 - 2*y**3 + 5 - 25 + 0 to l*y**2 + j*y**3 + s*y + i and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9788 * -26368.\nAnswer: 258089984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 33486 = 2*p. Let h be (-36)\/24*4\/p. Let i = h - -295727\/122782. Find the common denominator of 53\/20 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/512 and 79\/9216.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09413482 * -0.04.\nAnswer: 0.0037653928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 - 0.2. Let h = 9 - 16. Let y = h + 6. Which is the third biggest value?  (a) y  (b) 3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 6:39 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 4*s**2 + 21*s + 12. Let l be z(-7). Does 8 divide (145\/3)\/(-6 + 76\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -826839\/4 + 206709. Suppose -4*g - 4 = -2*g. Which is the nearest to 1?  (a) -3  (b) x  (c) g  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*q + 4. Calculate the lowest common multiple of (6\/10)\/(-19 + 571\/30) and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-129)\/430 + (-15)\/50.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/438 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252)*-1*-1 + (-3 + (sqrt(252) - sqrt(252)*2))**2 - ((sqrt(84)\/(sqrt(48)\/sqrt(4)))**2 + 1)*4.\nAnswer: 42*sqrt(7) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33858?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -384 - -386. Let t(f) be the second derivative of 0*f**u - 4*f + 0 - 1\/10*f**5 - 1\/15*f**6 + 0*f**3 + 0*f**4. Determine y so that t(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, u: 3, r: 3, e: 1, p: 1}. What is prob of sequence ur?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, w: 2}. Give prob of sequence wkz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -29 + 8755*o**2 + 58*o - 38*o - 8754*o**2. What is t(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 30 = c. Let w = c - -48. Suppose 2*s + 11 - 47 = 0. What is the greatest common divisor of s and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in -0.01, -258, -1\/272?\nAnswer: -1\/272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 651471998.\nAnswer: 2, 569, 572471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 291\/168 - (-54)\/144)\/((-1584)\/462)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2720\/3230)\/((-12)\/(-1311)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -11*l**2 - 11*l - 5. Let n(g) = -5*g**2 - 5*g - 2. Let v(f) = 13*n(f) - 6*y(f). Let d be v(3). Calculate the highest common factor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-280)\/24*(-32)\/112)\/((-9)\/(54\/16)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1960\/46)\/(-5) - -9 - (-20 - -21).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 63075*m - 28131440. What is k(446)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*g - 12*g - 4*g)*(3 + 3 - 8)*(2*g + 0 + 0) + (3*g - 2*g + 0*g)*(3*g - 2*g - 3*g).\nAnswer: 110*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 = 27*q + 12. Suppose -4*s = 2*o - 7*o + 9, 3 = -3*s + q*o. Solve -3*p + s*p = -5, 4*y + 15 = p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68 + 4 + 1 - (-48 - (-23 - 25))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 278 a factor of 65608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3015.5 in 3, -1, 6\/11, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6616 and 15258?\nAnswer: 50473464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 6.8. Let d = o + 1. Let y = 7\/95 - 9\/19. What is the nearest to y in d, -2\/17, -3\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4376*w + 1231*w**2 + 1606*w**2 - 4376*w.\nAnswer: 2837*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 379394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 5:05 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*x = 105*x - 3*f + 24, 3*x - 34 = -5*f. Factor x*q + 3\/4 - 15\/4*q**2.\nAnswer: -3*(q - 1)*(5*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34*p**2 - 5140*p - 15*p**3 + 5*p**4 + 7*p**3 - 27*p**4 + 9*p**3 + p**4 wrt p?\nAnswer: -252*p**2 + 6*p - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 190587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7 - -8)*(-11)\/11. What is the remainder when 66 is divided by (4 - -4) + m + 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -197 - 33175?\nAnswer: -33361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 1200*d**3 - d + 1. Let s(n) = n**2 + 3*n. Let c be s(-3). Suppose c = 3*a - 1 - 2. Let l be r(a). Round l to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3944 and 928?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -53546 + -1?\nAnswer: -53547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -31?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.3 - -0.7. Let j = 3.4 + 0.6. Let f = j - p. Which is greater: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + 10*f + 11. Does 9 divide n(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/545 and 93\/176144.\nAnswer: 880720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23*t**3*v - t**2*v + t*v + 50*v + 4 wrt t.\nAnswer: 69*t**2*v - 2*t*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from duhdddhhdh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 6*o + 20 = 0. Let l be (-7)\/(-3)*(-2 + o\/(-1)). What is the greatest common divisor of l and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x. Suppose 0*o = -m + o + 5, 0 = m + 4*o. Let t(d) be the second derivative of 0 - d + 1\/12*d**m + 0*d**3 + 0*d**2. Calculate p(t(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 424*o**2 - 20*o + 4. Let k be q(-1). Calculate the greatest common factor of 84 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 + 175\/49)\/(5\/(70\/(-24)))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-32)\/20 + 2\/5*(-621)\/(-162). What is the closest to 2 in n, 3\/2, 4\/9, 3\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5442 (base 7) to base 13.\nAnswer: -b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9248 - -9251. Solve -2*l = x - d, -4*x - 14 + 16 = -2*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**2 + 170*y - 1466. Give o(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7344527233 to the nearest integer?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*j + 91*j = -84 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(189\/14)*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(11\/3)\/((m**2\/m)\/m)*(m**(3\/16))**(-28) assuming m is positive.\nAnswer: m**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - 5*v + 4. Let u be p(-5). Let d(x) = 7*x - 3. What are the prime factors of d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1657 and -1618 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 332147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304*v - 348*v + 79*v = 2292 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of 271*k**6\/120 + 13*k**5\/60 + 11*k**3\/6 + 264*k**2. Find the third derivative of r(l) wrt l.\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 10*w**2 + 337*w + 12. Suppose -5*v + 233 = -137. What is the remainder when v is divided by s(14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/15531880 and -19\/7735.\nAnswer: 15531880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-122 - -101) + (-35)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 371606617?\nAnswer: 19, 19558243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 27700, 27701, 27702, 27703, 27704, 27705?\n\"Answer: z + 27699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(12\/(-10))\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227, -451, -673, -893?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 + 4*g - 2. Let j(s) = -s**2 - 15*s - 12. Let h be j(-11). Let n = h - 37. Let a be r(n). Sort a, -10, 2 in decreasing order.\nAnswer: a, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**7)*w**(1\/22))**(3\/14) assuming w is positive.\nAnswer: w**(465\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 52*a**5\/5 + 5*a**4\/24 - a**3\/2 - 85*a**2. List the prime factors of h(1).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 AM and 4:27 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/16100 and -40\/384951.\nAnswer: 38495100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o**3 - 8*o**2 + 4*o + 6. Let t = -14 + 20. Let k(y) = y**3 - y**2 + y + 1. Determine t*k(n) - h(n).\nAnswer: n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of w**6\/10 - 2*w**3\/3 + 2*w. What is the second derivative of a(k) wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 475219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 468 - 468 + 39*g**3.\nAnswer: 39*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -54 - -24. Let q = -46\/133 - -12\/19. Which is the closest to g?  (a) 0.5  (b) 4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21294571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25369 and 1004833?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -423110*l + 11000849. Calculate v(26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 582 - 576. Let j(y) = -y**2 + 7*y - 4. Calculate j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/177804 and -89\/126.\nAnswer: 1244628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -5, -2, 3, -1 in decreasing order.\nAnswer: 3, 0.2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5*(54\/(-15))\/(-6). Suppose -140 = -f - q*f. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 12*w**2\/17 + 94*w\/17 - 16\/17 = 0.\nAnswer: -8, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.122, 0.09, -2\/3, 0.4, -30\/11?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.404 + 319.404. Which is bigger: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -12*f + 277. Let z be j(23). Suppose -y = -z, -2*o + 4*y - 5*y + 687 = 0. Calculate the highest common factor of 49 and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 4:30 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-240)\/200*115\/1173*-969.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 10*o**3\/3 - 17*o**2 + 2*o - 4. What is the tens digit of k(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/27  (b) 14  (c) -809\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 2*k + 109 - 90 = 0, -o - 10 = -k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-4))\/((-19)\/((-760)\/(-75)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**2\/5 - 4*s + 18\/5 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*n**4 + 27*n**3 - 48*n - 15537 with respect to n.\nAnswer: 8*n**3 + 81*n**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 - 25 = 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -3*n - 2*n**2 + 8 + 0 - n**2 + 4*n**2. Let l be m(3). Solve 3*f = -j + 4*f - l, 0 = -4*f + 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 572725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b**(-29)\/b)*b)\/(b\/b**29*b))\/((b\/b**(2\/25))\/b*b**(-5)))**(3\/41) assuming b is positive.\nAnswer: b**(4806\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 5:42 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q + 9. Let s(i) = -i + 8. Suppose 0 = -14*x + 7*x + 35. Let k(n) = x*s(n) - 4*h(n). Let v(m) be the second derivative of m**3\/3 - m. Give v(k(g)).\nAnswer: 6*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11311 is divided by 306.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, a: 1, j: 2, z: 8}. Give prob of sequence wwaz.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 62077, 62075, 62073, 62071?\n\"Answer: -2*o + 62079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14.25735 - 15.74213. Let t = h - -30. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (78\/(-52))\/(0 - (-7)\/(-2)). What is the closest to 0 in w, -1\/4, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 10:27 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s - 3*t - 3 - 6, -1049*s = -1054*s - t - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from crrrrccrrrrrrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4*q - 40 = q, 2*k + 4*q = -16. Let m = 20 + k. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6314 is divided by 1963.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 216 and 52.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*p - 91 = -2122, p + 1217 = 3*o. Let v = -387 + o. Solve 20*b - v*b = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -613, -7, 509, -0.01, -2 in ascending order.\nAnswer: -613, -7, -2, -0.01, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 320 (base 4) to base 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of d**2\/2 - 2*d - 9. Let g be b(5). What is a in 2*a - 3*a**2 - 11*a + a**4 + 0*a**2 + 6 + 9*a**g - 4*a**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n + 3*n + 102. Let o = 55 - n. Suppose 4*q + 98 = 2*t, 2*t - o = -2*q - 3*q. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1 + 2*sqrt(891) + 4 + sqrt(891)*3)**2 + 2)*-5.\nAnswer: -669010 - 13500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1380882, -5, 1, 0.\nAnswer: -5, 0, 1, 1380882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/24725190 and -41\/1883824?\nAnswer: 197801520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j - 15. Suppose -98 = -5*d + 4*n, 4*n = -4*d - 0*d + 100. Suppose d = -5*i - 2*u, -17 = 4*i + 2*u - 1. What is the units digit of c(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 591 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -206, -205, -216, -245, -298, -381, -500, -661?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 38528573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -5*p - 1. Let u(y) = 3*y + 1. Let t be (-6)\/(-2) + (-77)\/7. Let r(d) = t*u(d) - 5*k(d). Differentiate r(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4245 less than 4292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 - (-22)\/6)\/((-6)\/99). Let w(p) = 5. Let d(g) = g - 26. Calculate f*w(o) - 2*d(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g**2 - 8*g - 5. Let i(p) = 7*p + 2*p + 10 - 7*p**2 + 6*p. Let l be 12\/(-40)*2*-5. Let c(o) = l*i(o) + 5*x(o). Give c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 - z + z)*(-2*z - 5*z - 23 + 25) - 17*z**3 + 2*z**3 + 0*z**3 + (-z**2 + z**2 - z**3)*(39 - 24 - 31).\nAnswer: 8*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + sqrt(133)*2*-4)\/sqrt(7) - (sqrt(931) + 1)*-3.\nAnswer: 3 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/23)\/(g\/g**(1\/7)*g*g)*(g\/(((g*g**(-3\/8))\/g)\/g))\/(g**(1\/2)*g))\/((g**(-1)\/g)**(-1\/4))**46 assuming g is positive.\nAnswer: g**(-32065\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 784*t + 7*t**3 - 782*t + 0*t**3 to w + d*t**2 + r*t**3 + z*t and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from qqnqnqanaqqqaqqqqqq?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 569749 is divided by 189916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (11\/99)\/((-8)\/(-18))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 459*u**2 + 1036*u**2 + 12418*u**2 + 9959*u**2.\nAnswer: 23872*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/11 and 9275\/1152 + 17 + 500\/(-20)?\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -149*s**3\/3 + 4*s**2 + 5*s + 27. Does 13 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/32 or -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1149295023.\nAnswer: 3, 31, 509, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 9 + -23 + -3 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 27196?  (a) -77  (b) -0.1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/2 + 19*b**2 - 79*b\/2 + 20.\nAnswer: (b - 1)**2*(b + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 20810800 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 4*w. Let c(o) = 5*o - 2 + w*o**3 + 2*o**2 + 0 - 3*o - 5*o**3. Let j be (-12)\/9*(-3)\/2. Let n(m) = -m**3 + m**2 + m - 1. What is j*n(f) - c(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 8 = 3*b. Let t(c) = -c + 54. Let l be t(52). Factor -12*i + 48*i**l - 10*i - 52*i**3 + 6*i + 4*i**b + 20*i**4 - 4*i**5.\nAnswer: -4*i*(i - 2)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from uccfucfcaafccv?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 112 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -327  (b) -5  (c) 0.1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 8*g - 10. Let h be x(4). Let a(i) = 3*i + 19. What are the prime factors of a(h)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.02485 + 3.02485. What is the closest to 1\/4 in 4, r, -380?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2. Let f(k) = 94139*k - 2185. Let q(g) = -1941*g + 45. Let s(z) = -9*f(z) - 437*q(z). Determine n(s(t)).\nAnswer: -933156*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 o when three letters picked without replacement from omooooomooo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 10*w**2 + 3*w + 3. Suppose -2*g + 19 - 1 = -4*d, 4*g - 24 = 5*d. What is the tens digit of o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/7  (b) 33  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 11*a + 30. Let d be c(3). Solve k + d = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 93740539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 24*s**2 - 15981*s - 164269. What is i(676)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 2*z + 0*z)*(101*z - 247*z + 61*z) + 6*z**2 - 19*z**2 + 12*z**2 + 17.\nAnswer: -86*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - w + 1. Let s be z(2). Let y be 2 + -946*s\/10. Suppose y = -5*o + 1530. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 32*p + 465 + 220 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - -13023103120?\nAnswer: 13023103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 607694 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37 - 38. Let u be o*(-7)\/(203\/2). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**4 - m**3*q - 2*m*q + 139*q - 2 with respect to m.\nAnswer: -8*m**3 - 3*m**2*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 18, 61, 104, 147?\n\"Answer: 43*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 27 = -2*f. Let n be 0 - -2*2\/(-2). Let h = f + n. What is the greatest common divisor of 35 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 + 360*s**2 - 4852*s - 22. Give v(13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, s: 1, o: 1, u: 1, z: 2, n: 1}. Give prob of sequence gsuz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 198 + 147 + 9 + 38*n.\nAnswer: 38*n + 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -109, -234, -113, 524, 1947, 4426, 8231?\nAnswer: 13632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 AM and 6:51 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (134\/1273)\/(117\/57798)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 17*u**2 + 4*u + 5. Let k(h) = h**2 - h. Let b(c) = -2*k(c) + r(c). Suppose -248 = 24*s + 88. What are the prime factors of b(s)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 3*q - 4. Let d be 21\/6 - 1*2\/(-4). What is t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.11, -3.7, -4\/3, -1, 0.5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 905 divided by 5\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.63 + 1.811. Let x = 0.355 - g. Let h = -0.1 + x. What is h rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5712 divided by 2\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4121c2 - 14?\nAnswer: -4121d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, 0.1, -0.3, -5, 421, 1.\nAnswer: -33, -5, -0.3, 0.1, 1, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -v**6\/5 - 13*v**5\/20 + 21*v**3\/2 - 9*v**2. Let d(g) = 3*g**3 + 5*g**2 - 8. Let p(o) = -33*d(o) - 4*i(o). Factor p(x).\nAnswer: -3*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 6*q**2 - 4*q + 1. Calculate the remainder when o(5) is divided by (22\/55)\/((-4)\/(-330)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108867 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 23*j - 106. Let s be o(4). What is the third derivative of 2006*a**2 - 89 - 4011*a**2 + 2006*a**s - a**6 + 65*a**5 wrt a?\nAnswer: -120*a**3 + 3900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 + 2*j + 7. Let h be t(4). Let n = 3 - h. Suppose 518 = n*x + 3*x. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2112373603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 6, e: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2073.1 - 1626. Let n = q + -447. Which is the fourth smallest value?  (a) n  (b) -5  (c) -0.1  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the third derivative of u**4\/4 - 7*u**3\/6 + 3*u**2. Is z(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 83468 + -114a?\nAnswer: 82319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (3 - (6 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.048 - 2.952. Let q = 0.05 + 0.35. Which is the closest to z?  (a) -2\/7  (b) -2\/5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 3*r + 20847 = -2*r, -2*r = -2*w + 8334. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*i + 326*i**2 - 326*i**2 + 2 + 2*i**3 to y*i**3 + n*i + s + b*i**2 and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75898.02 days to seconds.\nAnswer: 6557588928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 148 and 3114.\nAnswer: 230436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4816830 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33 + 50. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2613.143 rounded to the nearest 10?\nAnswer: -2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 2*i + 2. Let w be t(2). Suppose l + w*m - m = 11, -l + 19 = -3*m. What is the remainder when (12\/7)\/(2\/28) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -215 and -7.3?\nAnswer: 207.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/182 and -50\/20553?\nAnswer: 287742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 take away -63.62?\nAnswer: 92.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 7 = 9. Suppose -5*c + x - 14 = 0, l*c + 31 - 11 = 3*x. Find the common denominator of -2*(-39)\/60 + c and 65\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.13 - 1.87. What is the nearest to -2\/5 in 9, 0, 3, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5*b**2 + 19*b - 6. Let g(o) = -o**2 + 1. Give 6*g(m) + j(m).\nAnswer: -m**2 + 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 160943, 160941, 160939, 160937?\n\"Answer: -2*p + 160945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.59429km in nanometers?\nAnswer: 5594290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3547*p + 2165. Let i(o) = 1774*o + 1083. Let u(j) = -9*i(j) + 4*v(j). Differentiate u(a) with respect to a.\nAnswer: -1778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-221431)\/171722 + 8\/(-38))\/(3\/70).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/240)\/(2\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42 - -48. Suppose -5*j = 3*v - 145, -4*j - q = -5*v - 122. What is the derivative of 10*i**3 + 60 - j*i**3 - 57 wrt i?\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19708)\/24)\/(-13) - ((-420)\/(-72))\/35.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440191547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -11. Let o(g) be the third derivative of 0*g**4 + 1\/240*g**5 + 0 + 1\/480*g**6 + 2*g**2 + 0*g**d + 0*g. Factor o(p).\nAnswer: p**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 0*t - 4*z + 14 = 0, 8 = -2*t - 5*z. Let x = 9 - t. Let r be 3*-1 + (7 - x). Let f(p) = -2*p**3 + p. Calculate f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1357433, 2714875, 4072319, 5429765, 6787213, 8144663, 9502115?\n\"Answer: c**2 + 1357439*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5610*p**2 - 2858*p**2 - 2754*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -850864.9981 - -850809. Let t = w + 56. Round t to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 24*c. Let g(k) = -k. Let q(j) = 5*j. Let f(a) = -11*g(a) - 2*q(a). Calculate f(x(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(272) + -4)**2 + (sqrt(272) + sqrt(272) + -2)*4 - -1*((-6*1*sqrt(272) - sqrt(272)) + 2).\nAnswer: 68*sqrt(17) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -1832.\nAnswer: -1\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*s + 2409 = 2457 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -1512*p. Let b(h) = -13425*h. Give d(b(w)).\nAnswer: 20298600*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in 2, -2\/3, 7, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -8860*s + 363386. Determine q(41).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 + 85a9c?\nAnswer: 85a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-322)\/105)\/((-149)\/6705).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3577310 is divided by 1871?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 10:59 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 11 + 7 + s - 4. What are the prime factors of w(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/7, -10, -0.4, -8\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1629, -3250, -4871, -6492?\n\"Answer: -1621*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*l - 107*l + 22*l - 123*l.\nAnswer: -181*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1823383 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3130000120 + -10100?\nAnswer: -3130010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.57 + 1.39. Let l = -27.87 + k. Let x = l + 33. What is x rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*u**3 - 5*u**3 + 5*u**3 + 2*u - 2*u - u**3 + (-u**2 + 4*u**2 - 4*u**2)*(-2*u + u + 2*u) - 4 + 4 + u**3 + 6*u**3 - 3*u**3 - u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of -5*c**9\/1008 - c**6\/360 + 14*c**3\/3 + 9. Let f(h) be the third derivative of r(h). Find the third derivative of f(o) wrt o.\nAnswer: -900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41*w - 230 + 230 + (-3 - 2*w + 3)*(-1 + 1 + 2))*(-2 + 0 - 5 + 4 - 2 - 1 - 3 + 3 + 1 + (1 + 3 - 6)*(2 + 2 - 3)).\nAnswer: 315*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306072 is divided by 1112?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 + -24 + (83 - 28) - (-2 + -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5270231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2357641 and 5803424?\nAnswer: 75444512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21925*r**5 + r**3*v - 204*r*v - 37*v wrt r?\nAnswer: 438500*r**3 + 6*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 863, 861, 861, 863?\n\"Answer: j**2 - 5*j + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*b + 10 = -3*x + 11*b, b + 5 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -37375254.66 to the nearest 10000.\nAnswer: -37380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 258022750813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6854605 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3408, 6730, 10052, 13374, 16696?\nAnswer: 20018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of -3*a**8\/112 + a**4\/12 + 5*a**2. Find the second derivative of p(m) wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47 - -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 3:18 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 3:34 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 5*u + 670 = 0. Let a be u + (2 - -1 - 3). Find the third derivative of a*d - 28*d**2 - 335*d - 19*d**5 wrt d.\nAnswer: -1140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n**0*n*n)*n*n\/(n*n**(-4)\/n*n*n*n)*n*(n**(-4)*n)**(10\/13) assuming n is positive.\nAnswer: n**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -359, -3, 7 in decreasing order.\nAnswer: 7, 3, -3, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/39 - (-1476)\/39)\/1. Let y = k + -16. Suppose -y*r + 20*r = -70. Calculate the remainder when 68 is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 8*h**2 + h + 11. Let w be x(-8). What is the first derivative of 0 - 2 + 2*p**w - 4*p**3 wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/(sqrt(27)\/sqrt(3)*-1) + -3*(sqrt(11) + -1)*4.\nAnswer: -13*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g**3 + 10*g - 19. Let j be k(3). Suppose -j = -5*m - 74. Calculate the remainder when 1\/(-2)*-46 + 1 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*l + 14*l + 2*l**2)*((-2*l + 0*l + 4*l)*(-4 + 0 + 5) + 0*l + 5*l - 3*l + 4*l - 4*l + 2*l - l + 6*l + l).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 r when four letters picked without replacement from {l: 2, r: 5, b: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5*(1 + -3 + 5). What is the common denominator of (117\/k)\/((-16)\/(-10)) and -89\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.349 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x - 7. Let f be w(-3). Suppose -q + 12 = f*q, -3*t = -2*q + 20. Let o(c) = -c - 1. Does 3 divide o(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*k = -4*u + 8, 0 = u - 5. Is k at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7968 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/2015268 and 29\/356.\nAnswer: 179358852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*d, -h + 5*d - 55 = -30. Put 4, -10, 2, h in decreasing order.\nAnswer: 4, 2, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 17*s**3 - 172012*s**2 + 435149885*s - 153560886 = 0.\nAnswer: 6\/17, 5059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 75.\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*h + 2. Let j be (-4)\/(h*(-2)\/(-4)). What are the prime factors of ((-10)\/(-3))\/(j\/12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/5)\/(1\/5). Solve -m - b*z - 12 = -5*z, 0 = 5*z - 25 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 + (-6 - -3))*3. Solve 3*t = 2*p - m, 3*t + 15 = 5*p - 0*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, u: 8, j: 5}. What is prob of picking 4 j?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1784*w - 1780*w - 536576 = 2*q, -3*w - 2*q = -402425. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*d + 686*d = 12474 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 1355564.6\nAnswer: -542225.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -2 - 56\/(-10 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + (-1)\/(1*(-3)\/6). Suppose -9 = -4*y + t*l - 3, -3*l - 9 = 0. Let c = y + -8. Let n(j) = -j**2 - 8*j + 9. What is n(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v - 465. Let i(b) = 7*b**2. Give i(s(f)).\nAnswer: 28*f**2 + 13020*f + 1513575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 10, v: 4, k: 1, f: 3}. Give prob of picking 2 r and 1 f.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (44 - 48) + 3\/((-6)\/(-17170)). Suppose 2357 - x = -4*v. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2416 is divided by 656.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 88 and 277541.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.04 + -3.96. Suppose d - 2 = 0, x + 4*d - 12 = -2. Let a = 2 - x. Put a, -1, k in increasing order.\nAnswer: k, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -57*v**3 - 4*v**2 + 3*v - 21. Let k be a(-5). Suppose -k = -3*r + 6*t - 4*t, 0 = 3*r + 4*t - 7001. What is r rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 208 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 AM and 12:32 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**4\/12 - l**2. Let v(r) be the first derivative of -r**2\/2 - 1. Determine v(n(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1798472791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/6)\/((-10)\/8)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3525629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12137149451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 10866, 10863, 10860, 10857, 10854?\n\"Answer: -3*s + 10869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 23395692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 212 - 210. Suppose -c + f + 11 = 0, -l*f = -3*c - 16 + 46. Solve 5*i - c = -13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)*2 - sqrt(10))\/(sqrt(2) + 1*sqrt(98) + sqrt(2)) - (sqrt(605) + -1 + 1 + 2 + -2)**2.\nAnswer: -605 + 11*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-16)\/(((d\/d**14)\/d)\/d)*(d**(-1\/8))**(-4\/15) assuming d is positive.\nAnswer: d**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.77 and -355.76230943.\nAnswer: -354.99230943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 30ca6 (base 15) to base 7\nAnswer: 1213053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181*c = 433*c + 3302 - 6983 - 9827 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20\/123 less than -1\/84630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 420 and 5484528?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/12)\/((-1)\/2). Suppose 0 = -5*j + 4*j - 3*v - 6, -2*j - 4*v - 8 = 0. Let c = 69 + -69. Solve t*l + c*l + 9 = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/36 and -56\/171?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*l - 1, 2*l = 3*m - 17. Let q(a) = a**3 + 5*a**2 + 2*a - 2. Let s be q(-3). Let h = s - 10. Put m, h, -1 in increasing order.\nAnswer: -1, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3 - 202*c**2 + 2534*c - 8526.\nAnswer: 2*(c - 87)*(c - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -25*i**3*v - 25*i**3 - 60*v + 808 wrt v.\nAnswer: -25*i**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-106)\/(-90) - 203\/145. Which is the nearest to t?  (a) -0.4  (b) 5  (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 AM and 1:23 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 32*k**3 + 1. Let o be (-2)\/(3 - 5) + 4. Suppose -3*i - x + 6 = -0*i, -20 = -o*i - 5*x. What is the remainder when w(i) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y**3 - 21*y**3 - 2*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*l - 47*l + 195 - 195 - 8*l**2 + 5*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 146024 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 3 - 24 = 0. Suppose 2*h = 3*f, -5*f - 1 = -f - 3*h. Solve -f = a - k*w, -a - 6 = 2*a - 2*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*h**3 - 72*h + 35*h + 35*h.\nAnswer: -19*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 3*g + 24, -5*p + 136*g = 133*g - 24. Put 3\/7, 0.17, 4, 2, p in descending order.\nAnswer: 4, 2, 3\/7, 0.17, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.42 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - x**2 + 1. Let q be o(1). List the prime factors of -1 - (-1 + q) - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/3026673 and -83\/2017782?\nAnswer: 6053346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + 7. Let n = -11 + f. What is the derivative of -2*c + n*c - 4 + 9 + 6*c wrt c?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/283495 and -34\/2138225.\nAnswer: 126155275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4745 + 13013. Let c = i + -710391\/40. Calculate the common denominator of -8\/45 and c.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d - 6 - d + 9)*(-3 + 0 + 2).\nAnswer: 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9 - 10)*(3 + -2)*0. Suppose 2*r - 87 - 125 = x. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 5*l - 108. Suppose -a + 4*o = -3*a + l, -3*a + 5*o = -29. What is the greatest common factor of 104 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + 4*j + 9, -3*b + 201 = j + 212 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 106*s**2 + 4*s - 3. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*s = -82*s. Let q(j) be the first derivative of -j**4 - 1\/3*j**3 + 0*j + 3 + s*j**2. What is the third derivative of q(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 17 = n. Let a = -182167 - -182243. What is the remainder when a is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 24\/31, -1.46, -2, -4\/5?\nAnswer: 24\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15200 and -12300?\nAnswer: 186960000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -638*c - 33 = -627*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**2 + 11*f + 9. Let x be v(6). Suppose -4*m + 4 = 2*w, 4*w = 3*w - x*m + 1. Calculate the remainder when 16 is divided by w\/(-18) + 1826\/198.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1576.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 54 - 19. Let y = w - 26. Find the second derivative of 3*t + t**3 - y*t**2 - 2*t**3 + 9*t**2 wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by 4307421.\nAnswer: -10\/4307421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4608112467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -3*f**2 - 72*f. Let u(k) = 4*k. Calculate u(v(h)).\nAnswer: -12*h**2 - 288*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -1 + 2*p**3 + p**3 + 2 - 2*p**2. Let f be x(1). Suppose f*z + 12 = 2*w, -4*w + w + 46 = 4*z. Calculate the greatest common divisor of 90 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3377882157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 9. Let m = 37.31 - 32.31. Let h = 0.2 + -8.2. Sort h, a, m in increasing order.\nAnswer: h, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 - 23*k - 4 - 2*k**2 + 15 to d*k + u + w*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(-98)*210\/(-36).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2962 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -17*y + 2. Let m(s) = -2*s**2 + 53*s - 25. Suppose 0 = 2*j + d - 49, 2*d + 110 = 71*j - 67*j. Let f be m(j). Calculate w(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010 (base 6) in base 11?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) -10  (b) 5  (c) 1  (d) -0.5  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) - 2*sqrt(4719) - 2*sqrt(1911))\/(sqrt(243) + (1*sqrt(243) - sqrt(243)) - sqrt(3) - sqrt(243)).\nAnswer: 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -7.6. Let x = g + 4.6. Suppose -1700*i + 1704*i + 10 = j, -2*j - 12 = 0. Which is the third smallest value?  (a) 5  (b) i  (c) -1\/3  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -245.93 - -247. Let l = d - 2.07. Let u = -2\/473 - -1898\/1419. Which is the third smallest value?  (a) l  (b) -0.4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 11*v**2 + 27*v + 41. Determine r(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9*(-2)\/(-27))\/((-8)\/12)*13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 7*f**3 - 5*f**2 + 4*f - 7. Let d(q) = 20*q**3 - 14*q**2 + 11*q - 20. Give 4*d(o) - 11*w(o).\nAnswer: 3*o**3 - o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*k**3 + 269014*k - 1925121.\nAnswer: 15*k**2 + 269014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 29 - 6*(-2)\/(-3). Let m = h + -10. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.11 - 1.09. Let j = y - -1.5. Let t be 18\/40 + 2\/(-8). What is the closest to 2\/3 in t, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/12 and 19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9514 + -3107. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.696 to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (37*5\/(-260))\/(6\/(-16)) and 23\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 - 3*l**2 + 3*l**2)*(486 - 599 + 461 + (5 - 2 - 1)*(2 - 4 - 3)).\nAnswer: 676*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3783*v - 1894*v - 1886*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 68, 2\/9, -0.5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a - 1. Let x be d(-1). Suppose -4*m + 4*k + 12 = 0, m - 2*k = -4*m + 15. Does 2 divide x + (-3)\/m + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*sqrt(228) + sqrt(228) + -5*(sqrt(228) + sqrt(228) + -2*sqrt(228)))\/(sqrt(120)\/sqrt(160) + (sqrt(48) - sqrt(48)*-2)\/sqrt(4)).\nAnswer: 12*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 71051868 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1.148084 centuries?\nAnswer: 1377.7008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 288*j**3 - 146*j**3 - 139*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300 = 192*b - 142*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 2*z - 558, 3*z + 119 = -4*l + 702. Let s = -83 + l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384)*-3 + sqrt(24) + (sqrt(240)*2)\/sqrt(10))\/(-4*sqrt(1728)*1).\nAnswer: 3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6984*g - 6*f + 28 = 6980*g, -3*f = -3*g - 21 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 133322511 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z - 1 + 3 - 2.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 16, -3*s - 5*p + 28 = -s. Let v be 6\/4*176\/s. Calculate the greatest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 2 w when four letters picked without replacement from ixiiwxiiwixiw?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 - (1 + 4\/4). Suppose 5*t - j*t + 120000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 76461421 - 76461442 = 3*c, -15 = -3*y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20611959729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -k**9\/864 + k**8\/1680 + k**7\/240 - k**6\/360 + 2*k**3\/3 - 6. Let i(a) be the third derivative of f(a). Solve i(d) = 0 for d.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 195744.\nAnswer: 2, 3, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + 9. Let f = 4 - 0. Suppose -f*d = -2*r + w, -2*r + 5*r + d = 2. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 7:35 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of m**5\/10 + m**3\/3 + m**2\/2 + m. Let y be (741\/(-195) - -2) + (-1)\/5. Calculate n(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**35*r*r\/r**(-24)*r assuming r is positive.\nAnswer: r**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33114314 (base 5) to base 15.\nAnswer: -5993e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1041 a factor of 33234817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*n - u, 11*u = -5*n + 6*u + 30. Let v(t) = t**3 - 2*t**2 + 2*t - 1. Let o be v(n). Solve -o*y + 4*p - 15 = 0, -2*y + 5*p - 15 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 5\/966, -28, 1\/5, 0.5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 333?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.069 - -0.0749. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -0.3  (b) 3\/5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {s: 2, y: 2, h: 1, p: 1, o: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-6) + -10*(-2)\/(-8). Let x be (-30)\/6*2942\/5 - z. Round x to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*m**2 + m**2 - 2*m**2)*(41*m**2 + 59*m**3 - 41*m**2).\nAnswer: 295*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36375999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*y - 26 = 99*y - 4*v, y + 18 = 4*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 4335.03?\nAnswer: -4335.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {p: 1, r: 5, x: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 149 and 1360817?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 3*y - 3. Suppose -3*c = v + 5, -5*c + y - 2 = -2*v. Let f(r) = 3*r**2 - 2*r + 5. Let x(d) = -d**2 + d - 2. Let h(a) = -2*f(a) - 5*x(a). Give h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**3 + 27*b**2 - 58*b - 192. Let u be p(-15). Solve w = -u*d + 5, 5*d - 4*w = 9 + 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 249 and 1191382?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.2, 3, 3.6, 18, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20.7 + -21. Which is the nearest to 3?  (a) 0  (b) 1\/7  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - (-2 + 0)) + 24 - (0 + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 169330 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 14 = -2*a, 5*a + 682 = -4*o + 694 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 6 - 9 = 0, 2*v + 8 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 n when three letters picked without replacement from gganazm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14 + 9 - 20 - 5)*(-5*g - 6*g + 5*g) to o + r*g and give r.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -693 = -26*g + 17*g. Suppose -g + 89 = 6*y. Determine b so that -10\/19*b + 2\/19*b**y + 0 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.6 - 0.1. Which is the second biggest value?  (a) p  (b) -2\/13  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2)*(4*g - 4*g + g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 619315*w**2 + 172205*w**2 - 84945*w**2.\nAnswer: 706575*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-60))\/((-3)\/15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38473.959 - 38474. Which is the third smallest value?  (a) 4  (b) -4  (c) -24  (d) h  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-0.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*((((d**(-2\/43)\/d)\/d)\/d*d)\/d)\/d*d*d\/d**(1\/3)*d*(d**(-1)\/d*d)\/d*d*d**(-1\/3)*d assuming d is positive.\nAnswer: d**(-92\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*q**2 + 64*q - 40.\nAnswer: -2*(q - 10)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*1*-6)**2 + -3*sqrt(320)*-6 + (-4 + sqrt(320) + 1*sqrt(320) + sqrt(320))**2*-2.\nAnswer: 528*sqrt(5) + 5728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/9*(-1 + 7). Suppose 5*q = 3*y - 21, p*y - 4*q + 0*q - 12 = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13221416.\nAnswer: 2, 13, 19, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fknufffkffu. What is prob of sequence nfuf?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 391 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 304*f - 1013*f + 20561 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 13 + -34 + (5 - 10) + (-1 - -3).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -39*1\/(-3 - 0). Solve -3*p + 4 = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of 152*y**5\/5 - y**2\/2 + 71*y - 228. What is the second derivative of i(p) wrt p?\nAnswer: 1824*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*m**5 - 173 + 173 - m**4 + m**5 + m**4 + (5*m**3 - 4*m**3 - 2*m**3)*(5*m**2 + 0*m**2 - 4*m**2) + 0*m + 0*m - 2*m**5.\nAnswer: -20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -426 + 429. Which is the closest to 4?  (a) v  (b) -5  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*n**2 + 36*n**2 - 95*n**2 - 10*n + 52 + 43*n**2 to the form c*n + h + v*n**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4869180.3 take away -6?\nAnswer: 4869186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 43525969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.14?  (a) 3  (b) -2  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -688 divided by 15\nAnswer: -688\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2672800 divided by -800?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 3*j + 4. Suppose -p + 35 = 5*c - 2*p, 5*c = -j*p + 35. Solve 5*n + c = 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -9*l**2 - 2*l - 1. Let k = -3 - -4. Let c be (-3 + 3 - 0)\/k. Suppose c = -5*x + 5*s - 25, -4*s + 11 = x - s. What is p(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-0.099\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23\/57 + -5\/19. Let m = 21 + -17. Suppose -5 = -r - s, r + 15 = m*s - 0*s. Which is the nearest to k?  (a) 3  (b) r  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*g + 2*g - 2*g)*((4*g - g**2 - 4*g)*(-g - g + g) - g**3 - 4*g**3 - 2*g**3) as y*g**3 + u*g**2 + o*g + t + r*g**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -10\/1071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(405))\/((sqrt(36) - (sqrt(36)*-2 + sqrt(36))) + sqrt(36)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 (base 7) in base 14?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 694*a + 334*a - 140 + 141 + 145*a.\nAnswer: 1173*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 9\/6*(-32)\/(-12). Let t(p) = 1 + p**2 + 6*p - 3*p - 7 - 4. Let i be t(j). What is the highest common divisor of i and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 25205726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a minute in seconds?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ocggcqj. What is prob of sequence gogc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9939 to 2 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is d3 (base 16) in base 2?\nAnswer: 11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bjx when three letters picked without replacement from {c: 8, g: 1, x: 2, j: 3, b: 1, d: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 8) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19926)\/861 + ((-81)\/21 - -4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 323463285 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*w = 3. Suppose 0 = -w*z + 4*n - 2, 5*n - 6 + 2 = 3*z. Suppose z*b + b = 78. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 5*y**2 - y - 4. Let f be d(-5). Let o = -97 + 89. Let i be (-4)\/44*43 - (o - -4). Is f bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.442 - 3.442. Let t = 14\/5 + -172\/65. Sort p, t, 155 in increasing order.\nAnswer: p, t, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 140.559 - 141.3. What is f rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 - 5*v**2 - 7*v + 2. Let c be a(6). Suppose 0 = -7*t + 2*q - 111, 0 = 5*t - 8*t - 5*q - 71. Sort t, c, 5 in ascending order.\nAnswer: t, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 540 divided by 27\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9674 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4448)\/(-7784) + (-375)\/7. Let n(k) = 1113*k**2 - 53*k + 53. Let o(t) = 106*t**2 - 5*t + 5. Calculate b*o(m) + 5*n(m).\nAnswer: -53*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2437, -4870, -7301, -9730, -12157?\nAnswer: -14582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -9\/13  (b) -1\/4  (c) 2375.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 143532867 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 2*p**2 + 4. Let v be g(-2). Let l be 6\/v + 2\/4. Differentiate 4*x**3 + 2*x**l - 11*x**2 + 9*x**2 - 12 wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13702 - -3314. What are the prime factors of r\/216*(-27)\/(-3)?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1768835 times -0.4?\nAnswer: 707534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1515 (base 12) in base 10?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-1\/3))**(-3\/14)*(((d\/d**(-2\/7))\/d)\/d)**(1\/22))\/((d*d*d*d*d**0*d)**(-1\/6)\/(((d\/d**3)\/d)\/((d\/d**(-2\/9))\/d))) assuming d is positive.\nAnswer: d**(-1777\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 273898209*j**2*q**3*u**2 + 2*j**2*q**2*u - 4*j**2*q**2 + 5*j**2*u - 14*j*q**3 - 3*j + 6665*q**2*u wrt u?\nAnswer: 547796418*j**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 438190185 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8958.00057053 - -8958. What is i rounded to 6 dps?\nAnswer: -0.000571","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2\/8 - 1107*b\/4 - 5022.\nAnswer: (b - 2232)*(b + 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1107 + 1100. Let n(t) = t**3 + 9*t**2 + 14*t - 3. Give n(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -198659 * -2288\nAnswer: 454531792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 452202130 + -1?\nAnswer: 452202125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-7 + 10) - (11 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -39*j**5*v**2 - 4800*j**3*v**2 - 2*j**2 - 118838*j*v**2 - 2*v**2 wrt j?\nAnswer: -2340*j**2*v**2 - 28800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 5*g. Suppose -1 = -3*a + 6*a + 2*d, -2 = d. Sort -3, a, g.\nAnswer: -3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(-5) + (-2)\/10. Let t be h\/6 - (-96)\/18. Solve t*x - 3*p + 8 = p, -32 = 5*x + 4*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*h + 19*h - 9*h**2 - 54 + 25 - 95*h.\nAnswer: -9*h**2 - 34*h - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 z, and 1 q when three letters picked without replacement from zenqqqqnlzlqe?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/160 and -5\/6016.\nAnswer: 30080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 14*f. Let i(s) = 7*s - 1. What is i(q(h))?\nAnswer: 98*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(147\/56)*1*6\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 10 = 0, -5*r + 61 = 5*k - 2*r. Let z = k - 7. Find g, given that -2*g**3 - 6*g - 3*g**2 - 4*g + 4 + g**z - 11*g + 25*g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9962 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -186519896 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 267, -3, -1, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g. Let p be 16\/36 - (3 + (-472)\/72). Let o(z) be the third derivative of 0*z**3 + 0 + 0*z**4 - p*z**2 + 0*z + 1\/6*z**5. Determine o(s(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (0 + 0\/1). Let a(b) = 4*b**3 - b - 2*b**o - 5*b**3 + 4 + 3*b**2. Let j be a(0). Solve -x + 2*l = -j, 2*x - 3*l + l - 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -466852304 rounded to the nearest 100000?\nAnswer: -466900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104568 and 164.\nAnswer: 4287288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = r - 289. Suppose 7*f = 2*f - r. Let j = -41 - f. Calculate the lowest common multiple of 6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.45 - 0.23. Let k = w - 0.32. Which is the closest to 1?  (a) k  (b) 0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**3 - b**3 - 4*b + 2*b**3 + 2 + 2*b**2. Let x = -24 + 26. Determine z(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 5*r + 25. Let x be y(-8). Let j be 3 - (x\/(-5) + -3). Suppose -j*n + 629 = -286. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -11*l**2 - 23*l + 8. Suppose 20 = -5*a - b, b - 1 = 3*a + 3. Let h(s) = 6 - 8*s - 1 - 4*s**2 - 2. Let d(k) = a*y(k) + 8*h(k). Calculate d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-32149)\/156*1\/(-7). Let u = g + -167\/7. Find the common denominator of u and ((-5)\/(-30))\/(2\/256).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 41 - 124. Suppose 25 = 5*g, 5*q + 131 + 159 = 2*g. Let z = q + o. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 9, d: 2, n: 2}. What is prob of sequence nnnd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 251817997 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 165 in 0, 3, 2\/93, 4, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -12*c**3 - 5*c**2 + 66*c - 5. Let m(r) = 12*r**3 + 6*r**2 - 68*r + 6. Let u(o) = -5*m(o) - 6*z(o). What is the second derivative of u(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 945312000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 135 + (62 - 59) - 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 1289 = -3*w + 5*w + 1273, 5*h = 4*w - 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h**2 - 7. Let q = -6 - -16. Suppose b + b = -q. Let g(a) = -2*a**2 + 4. Give b*g(j) - 3*f(j).\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 26925 divided by -3?\nAnswer: -8975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 17*b**2 - 15*b - 21. Let s be w(16). Let k = s - -48. Let d = k - 34. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1270.74 - -1260. Let u = o - -15.4. Round u to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j = -24. Let w be 135 - 1\/(-1 - 0). Suppose 0*c = -4*c + w. Calculate the remainder when c is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7.27 + 7.2. What is the nearest to b in -1\/3, -5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(84)*1 - sqrt(84)) + 4*(sqrt(84) - sqrt(84)*3 - sqrt(84)))\/((-1*sqrt(144))\/sqrt(12) + sqrt(12) + 4*sqrt(36)\/sqrt(3) + sqrt(12)).\nAnswer: -11*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(-10))\/(h**(2\/85)\/h)*h**13\/h**(-16) assuming h is positive.\nAnswer: h**(1868\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + x**2)*(33087 - 32685 - 13312).\nAnswer: -12910*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -17*l**3 + 254*l**2 + 5*l + 25. Determine c(15).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -214.07*0.1\nAnswer: -21.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 4*p**2 + 1. Determine t(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -2342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + -1 + 5))*-4 + -2)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -228510823868576 less than -0.2?\nAnswer: 228510823868575.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.2278 to one decimal place.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 3 - 135*p**3 - 12 - 69*p**3.\nAnswer: -204*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 - -64. What are the prime factors of (-53 - 0)\/(j*7\/(-119))?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*k + 2 - 9*k**4 + 6 - 12*k**3 - 4*k**2 + 5*k**4.\nAnswer: -4*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-168)\/(-44) + 4\/22. Suppose c = h - 3. Let i(j) = -j + 11. List the prime factors of i(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -476 + 690. Let o = 208 - s. What is the biggest value in -5, 6\/5, o?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314*(-2)\/(-12)*39 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/1)\/(79\/237)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u - 1. Let k be n(-1). Find the second derivative of 44*d**2 - 21*d - 4 + 3*d + k + 4 wrt d.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 21, 5, -2110 in increasing order.\nAnswer: -2110, -8, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/11 and -5\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223371?\nAnswer: 3, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/32172875 and -41\/19303725.\nAnswer: 96518625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7296 - 7295.92. Which is the second smallest value?  (a) f  (b) 5\/3  (c) 5  (d) -8  (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -11.91 and -0.22.\nAnswer: -12.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3222, -3179, -3054, -2805, -2390, -1767, -894?\n\"Answer: 7*u**3 - u**2 - 3*u - 3225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 304 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 8116 and 0.07 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from brrbrbrr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*(9\/18)\/((-1)\/2). Sort o, -4, -1 in descending order.\nAnswer: -1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(2 - (-60)\/(-25)) - 0. Put -4, 0, k in descending order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15000\/456 + -33 - 18776\/(-38). Solve -a + 445 = -7*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7802?\nAnswer: 2, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {y: 1, b: 1, r: 3, t: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5481045*q**4 - 10983030*q**3 + 5522945*q**2 - 20980*q + 20.\nAnswer: 5*(q - 1)**2*(1047*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {k: 8, x: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5204041*r + 11657631?\nAnswer: -5204041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -p + 4*b + 51, 4*b = p - 47. Is 36*(p\/(-6))\/(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 765526.1 millilitres?\nAnswer: 765.5261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, w: 7, h: 1, m: 10}. What is prob of sequence hc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**4\/5 - 18396*o**3\/5 + 387639*o**2\/5.\nAnswer: -3*o**2*(o - 21)*(o + 6153)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/4 of a year in months?\nAnswer: 219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of m**4\/12 - m**3\/6 + m**2\/2 - 11*m. List the prime factors of u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38 - -33. Put 5, 2, t in descending order.\nAnswer: 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/63*1 + (-4)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/(-12) - -8)\/(6\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 62758.72l?\nAnswer: 62758720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 316 = -367. Let h = 2008 + a. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -110*o**7\/3 - 4597*o**3\/6 - 3439*o**2. Differentiate u(a) with respect to a.\nAnswer: -30800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -131*d*q**3 + 302*q**3 - q wrt d.\nAnswer: -131*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**4 + o**3 - o**2 - o. Let z(b) = 7*b**4 - 43*b**3 - 5*b**2 - 73*b. Let h(y) = 4*x(y) - z(y). Find the third derivative of h(f) wrt f.\nAnswer: -72*f + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -522, -517, -508, -495?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6, -1, 2, -806, -2 in descending order.\nAnswer: 6, 2, -1, -2, -3, -806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1421313102 (base 5) in base 7?\nAnswer: -43301025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**3\/3 - 29*f**2\/3 + 215*f\/3 - 475\/3 = 0 for f.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 4\/7, 4\/303?\nAnswer: 4\/303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*t**3 + 3*t**3 - t - 4*t**3 + 6*t**2 - 24*t**4 - 16*t**5 = 0. Calculate t.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/5 + 7060692*s**2\/5 - 8472825*s + 63546174\/5.\nAnswer: -(s - 7060686)*(s - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/14)\/((-44)\/((-13860)\/(-3105)))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 2*w - 32 + 3, 0 = -3*w - 12. Let p be 2\/4*4\/n. Let y = -27.4 + 27. Sort y, 0.1, -2, p.\nAnswer: -2, y, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67803413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**5\/13 - 438*b**4\/13 + 11428*b**3\/13 - 57972*b**2\/13 - 11690*b - 6318 = 0. What is b?\nAnswer: -243, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -22 - 924844372.\nAnswer: -924844394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2272.6 rounded to the nearest ten?\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-56)\/(-12) - (-208)\/192.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, v: 1, t: 2, m: 1}. Give prob of picking 1 v and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -3*h**3 - 3*h**2 + 3 - 3*h**2 + 4*h**3 + 6*h. Determine i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.11037 - 27.\nAnswer: -22.88963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 139\/174 - -1\/29. Let o(u) be the third derivative of -1\/30*u**5 + 5*u**2 + 0 + 0*u + 0*u**4 - w*u**3. Differentiate o(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 + 23*j + 12. Give l(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/15 and 10\/147?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -27*h + 109. Let q be n(4). Let r be q\/2 + (-117)\/(-78). Solve 0 = r*i + 4 - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - -2 - 3 - 2. Suppose 59*s + 28*s = 31*s + 7056. Is 2\/7 + v*(-3936)\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + r - 9 = z, 25 = 5*r. Let m = 16 + z. Suppose m = 4*h - 10. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 373, 381, 391, 403, 417, 433?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 511884 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(176) - sqrt(176)*1)*6 + (sqrt(176) - 5*(sqrt(176) + 0 + sqrt(176)))**2).\nAnswer: -28512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-18)*(21*(-11)\/924)\/((-10)\/(-128))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8133, -17157, -27153, -38121, -50061, -62973?\n\"Answer: -486*t**2 - 7566*t - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27)\/36*-1*8\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 67 and 69 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5381 + 14716 = 2948*t - 18822 - 20041 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 86*u + 87*u - 56727 = 0, -u = 5*m - 141816. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**2. Let i(a) = 133876493*a**2. What is o(i(x))?\nAnswer: -35845830755958098*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -7*d - 2. Let p be u(-2). Suppose -p = f - 3*f. Suppose -f*y**2 + 12*y**2 + 10*y**2 - 4*y**3 - 16*y = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 AM and 9:20 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -3. Let h = 25 - 25. Suppose -d + q*d = h. Solve x + 6 - 4 = d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 - 10*z + 12. Let p be n(-11). Suppose 3*a - 4*x = -6 - 1, 3*a = 2*x + p. Is -2 - (213\/a)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 22 = -2. Let u(z) be the first derivative of n*z**2 - 3*z**2 + z - z**2 + 3 - 3*z. Calculate u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(1\/5)\/(q**(5\/8)*q)*(q*q\/(q\/q**0))\/(q*q**(-1\/9)) assuming q is positive.\nAnswer: q**(-473\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-380)\/(-2)*2173\/(-21730)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*u - 40 = 40*u. Are u and 2.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 6*h, -a = -2*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4 - 202*n**3 + 10789*n**2 - 59388*n + 86436.\nAnswer: (n - 98)**2*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 89511 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s - 3. Let y(d) = 13*d - 2. Let w(o) = -2*l(o) + y(o). Determine w(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 420485, 1682347, 3785449, 6729791, 10515373, 15142195, 20610257?\nAnswer: 26919559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3 + 13 = 0. Let m = 29 + h. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3 + 120*g**2 - 52*g - 4872.\nAnswer: 4*(g - 6)*(g + 7)*(g + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1227 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x = 12*x - 31. Let q = -44 + x. Let r = 12 - 23. Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 208*q**2 - 16*q**3 - 208*q**2 - 7*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -133222044?\nAnswer: 133222046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 85 + -78. Suppose 0 = -4*z + n - 7. Solve z*a = 4*a - 2*y - 12, 0 = -2*a - y + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 629 by 17.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5256505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/1)\/((-65)\/39*(-57)\/5).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 437 = 26*j - 3*j. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -494373, -494467, -494573, -494697, -494845, -495023?\nAnswer: -495237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*(1 - (-4)\/(-6)). Find n such that -1\/3*n**2 + 1\/3*n**3 + 1\/3*n**4 + v + 0*n - 1\/3*n**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -192*l**2*v + 6440571*l**2 + 47385*l*v**4 - 3*l wrt v.\nAnswer: -192*l**2 + 189540*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -15*a + 6. Let t(q) = -15*q + 5. What is -4*s(n) + 5*t(n)?\nAnswer: -15*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2388563 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -1. Let y(l) = -l + 2. Let q(d) = d**3 - 7*d**2 - 2. Let s(g) = 5*g**2 - 4*g + 3. Let m be s(2). Let h = -8 + m. Let z be q(h). Give z*y(t) - 3*x(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 1 - (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/167 in -0.3, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - 2f13c?\nAnswer: -2f13f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -54858 + 55986. Calculate the least common multiple of -2 + 34\/2 + 1 and c.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003014999952 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 3*m**2 - m. Suppose -2*w - 48 = -6*w. Let b = 9 - w. What are the prime factors of k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18855 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 6*x**2 + 4*x + 3. Let o be (-3)\/(4 + ((-5)\/(-10) - 4)). Let w = -1 - o. Calculate c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4 = -4. Let j = 7 - i. What is the lowest common multiple of j\/(-3 - 94\/(-32)) and 5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/4))**(-14\/3)*(j**(-11\/3)\/j)\/j**2 assuming j is positive.\nAnswer: j**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-2*-6*(sqrt(130)*4 + sqrt(130)))\/((sqrt(10) + -3*sqrt(10)*-5)*-5).\nAnswer: -3*sqrt(13)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 59 + 73. Suppose 4*h = 4, -4*o + 10 = -2*o + 4*h. Calculate the greatest common factor of o and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = a - 11573, 5*a - 22*c - 57856 = -24*c. What is a rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 9*y = -20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 95, 1\/3, 7, -1\/2 in descending order.\nAnswer: 95, 7, 1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 64.15 and 2?\nAnswer: 128.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*(-1 - 3\/(-9)). Suppose 0 = -6*i + y*i + 148. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -172967*w**4 + 84458 wrt w.\nAnswer: -691868*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 27*u**2 - 73*u - 2579. What is m(-26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -1988, 3\/20, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sznsnjnjjjnnnn. What is prob of sequence nj?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**3 + 4*f**3 - 4*f**3)*(35463*f - 1376*f**2 - 35463*f).\nAnswer: 1376*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-16))\/(((k*k**(-26))\/k)\/k) assuming k is positive.\nAnswer: k**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (694\/1041)\/(2\/(-4) + 1\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.25443 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68668277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.83 - 114.83. Let f = -45 - l. Let k = f + -68.00000033. Round k to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.119 >= -1123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 4:43 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -7*u - 8. Let y(i) = 13*i + 17. Let f(m) = 5*k(m) + 3*y(m). Let c(q) = -q - 3. Let s(b) = -22*c(b) - 6*f(b). Give s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.35 less than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 + (-1 + 0)\/(-1). Let t(x) be the first derivative of 61*x**3\/3 + x**2 - 9*x - 1867. Is t(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2978.8 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*t**4 + 56*t**4 + 103*t**4)*(-2 - 2 + 2).\nAnswer: -378*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + b + 1. Let y(r) = 4*r**2 + 5. Let f(p) = u(p) - y(p). Let w be f(-4). Let a = w + 17. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 64.68 - 65.38. Let q = 0.5 + -0.3. Let y = q + -0.3. Which is the third biggest value?  (a) -5  (b) y  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2482*c - 146 + 44822 = 0 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 48*s - 723. Give g(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 + -38989?\nAnswer: -38980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 8 = -2*u. Let c = -57 - -55. Let r be 1 - c\/16*-4. Sort -2\/9, u, r in increasing order.\nAnswer: u, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**2 - 2*j**2 + 2*j**2 + 0 - j**2 + 0 + (-j**2 + 3*j - 3*j)*(3 + 1 - 3) - 112*j**2 + 5300*j - 5300*j.\nAnswer: -113*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-910)\/300)\/(2\/(-3)) and -93\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32416.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -540440 + -423?\nAnswer: -541303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/7)\/(32\/112).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 100090575\/92 + -1087963. Let n = 27\/4 - 601\/92. Let r = f + n. Calculate the common denominator of r and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*g - 2*b - 29 = 0, -10*b + 5*b = 3*g - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 492 and -3.\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 3*n - 3*n)*(2*n + 1 - 1)*(2*n + n + 0*n + (-2 - 2 + 3)*(n + 2 - 2)).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -3*r**5 - 37*r**4 - 147*r**3 - 219*r**2 - 130*r - 24 = 0.\nAnswer: -6, -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3120527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-99)\/((84\/35)\/(6*24\/900*10)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 3 + 7. Find the second derivative of q**4 - 6*q**4 - 6*q + j*q wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 times 1248\nAnswer: 23712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -180.75 * -11430\nAnswer: 2065972.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1058*b - 2808 = 496*b + 490*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 258 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -11343?\nAnswer: -11342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1257457 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3*o - 6)*(3 + 0 - 4).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 141 + -102. Suppose 9*t = 6 + h. Solve -t = -5*m, 2*k - 3*m = -21 + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tvvttvtvvvvtvttttvvt. Give prob of picking 3 v and 1 t.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -1 - ((-13)\/(-10))\/(164\/615).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**2)\/n**(2\/21)*n**(2\/7)\/((n\/n**(5\/3))\/n) assuming n is positive.\nAnswer: n**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.10605 * -0.747\nAnswer: 0.07921935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.33 + 6.9. Let k = -111.87 + 112. Let d = i + k. Which is the second smallest value?  (a) -0.1  (b) d  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 39 = 97. Let b = 3 - k. Is -1*(b - 0) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-5)\/(-15)*12. Solve o*v = 4*d - 20, -v - 8 = 2*v + 4*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 569672669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (7\/84)\/(1867\/1165008)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35 - 31. Suppose 2*p + 5*u + 9 = 0, -u + 2*u + 3 = 0. Let a(r) = -p*r + 7*r**2 - 12 - 6*r**2 + 17. Give a(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 4*a + 6. Let n be m(-6). Suppose 4*s - 2*i + n = 46, -4*s + 5*i + 22 = 0. Suppose 0 = s*l - 634 - 46. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -264585, -529177, -793769?\nAnswer: -1058361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 d when four letters picked without replacement from zlddzddddddzddddzzdl.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5\/10)\/(3\/(-21)))\/(3\/12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 138*f**2 - 396*f + 7. Determine w(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -y + 9, -3*y + 2*y = -4*s + 11. Suppose -4*w - s*d + 32 = 0, -12 = w + w - 5*d. Let b(t) = 0 - 4*t - 6*t**2 + 7*t**2 - 3 + 5. What is b(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + sqrt(17) + ((sqrt(17) - sqrt(272)) + -3 - sqrt(17)) - (1 + sqrt(17))*6 - (2 + sqrt(68)*1 + -4)**2.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2702 divided by -40909?\nAnswer: 2702\/40909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -12*o - 15. Is (-9)\/6*o\/3*-6007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137452 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 96920 by -33.\nAnswer: -96920\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or 11114\/1885?\nAnswer: 11114\/1885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3d9b (base 14) to base 7\nAnswer: -43554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -19957006.6 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 1)*(-3*f + 55*f + 32*f)*(6 + 31 - 8)*(f**3 + 3*f**3 - 3*f**3) as p*f**3 + s*f**2 + i*f + b*f**4 + z and give b.\nAnswer: -7308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*q + 24 = -40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 645 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8084 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 14854.33 years?\nAnswer: 178251.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.5068 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -229*d + 237*d + 1031*d.\nAnswer: 1039*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-20)\/(-65))\/2 + (-248970)\/(-39) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -5*f + 7. Let h be t(-5). Suppose -307*i + h = -303*i. Solve i = 2*x + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-990)\/(-24))\/(-11)*8\/(-12)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 0 - 6)*(-z + z - 2*z) as b + o*z and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 21622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 <= 952.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4160032.463 + -4162585. Let y = 2611.5 + g. Let s = 0.037 + y. Is 0.1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.55264257 to three decimal places.\nAnswer: 18.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8035 is divided by 284?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - ((-3 - (-16 + -5)) + 6 + -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42 + 22. Let z = f + 26. What is the lowest common multiple of 22 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1694, 2122, 3296, 5594, 9394, 15074, 23012, 33586?\n\"Answer: 63*p**3 - 5*p**2 + 2*p + 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -1997*g + 10. Let p be j(-8). Let m = -4214 - p. What is m rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -171602.371 to the nearest 10.\nAnswer: -171600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 + 19 - 26 - 12*x)*(0*x + 2*x - 146 - 4*x**2 + 147) in the form n + i*x + t*x**3 + c*x**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -14581.2 rounded to the nearest 100?\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*a + 152*a - 62*a - 783 = -135 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 2157.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-one quarters of a century?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10681*o**4 + 25*o - 4179*o**3 - 5345*o**4 - 29*o**2 - 40*o**2 + 19*o - 5335*o**4 - 2*o**5 wrt o.\nAnswer: -120*o**2 + 24*o - 25074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 910*m + 14. Let d(t) = 126*t + 2. Let b(o) = -36*d(o) + 5*z(o). Suppose 0 = 5*f - 6 - 4. Determine b(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 6588.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3087649836 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x**2 - 2. Let a be 1\/(((-3)\/(-2))\/(-3)). Suppose -5*j - 9 = 21. Let w(l) = l**2 + 1 + 98*l + 0 - 98*l. Determine a*s(d) + j*w(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -402418, -402420, -402422?\nAnswer: -402424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 93980423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(9\/14)*2175\/725?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 627046 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*-5 + sqrt(153))*2)\/sqrt(9) - (sqrt(425)*1 - (sqrt(17)*1 + 3)).\nAnswer: -10*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36007 is divided by 529?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from gggsssllss.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1754*s**2 + 2400 + 1357 - 1404 wrt s.\nAnswer: 3508*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 14*m + 18. Let j be f(-15). Solve 4*z - 6 = j*u - 5*u, u = z - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 144367, -3, -1, 2, 1 in ascending order.\nAnswer: -4, -3, -1, 1, 2, 144367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/(d*d**(-2\/3))*d)**(-8)*d**9\/d*d*d**(-1\/4)\/d)\/(d**(1\/8)\/(d**16*d*d))**23 assuming d is positive.\nAnswer: d**(9541\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6242058 and 195584484?\nAnswer: 586753452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a**3 - 58*a**2 + 22*a - 79. Calculate the remainder when 1123 is divided by u(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0\/(i\/(i\/(i\/((i*(i*(i\/(i\/(i\/(i*(i*i\/i**(-3))\/i)*i)))\/i)\/i)\/i)))*i))\/((i**(-5)*i*i*i)\/(i*i**3)))**(-3\/4) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 0) + (-4)\/12. Let r be (3\/(-2))\/(18\/(-48)). Suppose -7*a + 5*a - r = 0. What is the smallest value in a, 3\/7, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1082379810 to the nearest one million.\nAnswer: -1082000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*a + 14*a + 92*a = -0*a - 6678 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -25*0.24\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 11 - 1. Let x be v*(2 + -3) - -22. What is the highest common divisor of 140 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/5 + 54*g\/5 - 51\/5.\nAnswer: -3*(g - 17)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 3*w + 4*n - 1003, -4*w = 5*n + 786. Let u = w - -254. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 13 = -4*k, 0*k - 47 - 27 = 2*k + c - 57 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(378\/(-12))*4794\/(-41548)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 39648 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-1129)\/(-5645)*(-15)\/(-39)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 3, 5, -3\/8, -12, -1365?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3165 is divided by 205.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -9737.62793 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let o = 0 - 2. Let v be -1 + (-17)\/(-15) + 0. Put v, 2, o in descending order.\nAnswer: 2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 8 + -3 + 1 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 26 = 5*t, 5*i + t + 54408 = 54426 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 589865263*i*v**3 + 70119332*i*v**2 wrt v.\nAnswer: 3539191578*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 24217 or 17?\nAnswer: 24217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -9*w**2 - 511*w + 804. What is f(-58)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 0 - 153\/2*i**2 + 3\/2*i**3 - 78*i = 0?\nAnswer: -1, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 93601 * -0.3\nAnswer: -28080.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -85, -208, -353, -532, -757, -1040, -1393?\n\"Answer: -2*f**3 + f**2 - 112*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10602 (base 7) in base 12?\nAnswer: -1689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**2 + 11*d + 0 + 19\/6*d**4 + 1\/6*d**3. Is y(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b**2*d**2 + 149942*b**2 + 3*b*d**2 - 9*b*d - 1879*b + 2*d**2 + 2 wrt b?\nAnswer: 6*d**2 + 299884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of 2*f**3\/3 + 7*f. Let x(w) = 9*w. What is n(x(z))?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-15))\/((-8)\/(-10)). Let m be (7 - 749\/105)\/(1\/5). Put f, m, -0.1, -1\/3 in increasing order.\nAnswer: m, f, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - sqrt(171))**2 + 0 + sqrt(209)\/(sqrt(11)*1).\nAnswer: sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1931835 divided by -4441?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 100*l + 34. Let b(m) = -47*m - 16. Let x(w) = 17*b(w) + 8*r(w). Let j(z) = -2*z - 14. What is j(o) + x(o)?\nAnswer: -o - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-30)*10*10\/(10*-124).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -538\/73?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**3*l*(l*l**7)\/l*l*l**(-4)\/(l\/(l\/((l**6*l)\/l))) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -110*f - 194. Let w(m) = 67. Determine -o(h) - 3*w(h).\nAnswer: 110*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*n + 32 = 0. Find the common denominator of (-7)\/14 - (-142)\/(-8) and (-2)\/n*928\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/((-3)\/((20\/30)\/((-2)\/9)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3*l - 12 + 1 = 0, -4*l + 6 = -2*v. Are v and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13322311 + -10?\nAnswer: 13322301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -2 - (2 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-115)\/(-55) - 2)\/(12\/22).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 747483131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 1 + 1 + 0 - c**2. Let g(z) be the first derivative of -3*z**2\/2 + 2. Calculate h(g(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1073.8 + -1066.97. Is -3\/7 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(375)*-2*-4)\/(sqrt(21)\/(sqrt(77)\/(sqrt(33)\/sqrt(3)))*-6).\nAnswer: 100*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 28*v**3 - 35*v**2 - 35*v. Let s(g) = -3*g**3 + 7*g + 0*g**3 - 18*g**2 + 22*g**2 - 3*g. Give -35*s(h) - 4*u(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**5\/24 + 4*l**3\/3 - 9*l. Let b(n) be the second derivative of k(n). Let f(m) = -3*m. Give f(b(x)).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - (3 - 3))\/(-2). Suppose 5*f + 4*y = -v*y + 141, 5*y = -2*f + 53. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zblujzbj. What is prob of picking 1 b and 3 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -12*t - 4*t**2 + 4*t**2 - t**2 + 0*t**2 + 5. Let h be y(-12). Solve u - h*q = 14, -2*u - u + 22 = -5*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2712*m**2*u**5 - 7*m**2*u**3 - 16502*m**2*u**2 + 2*m**2 - 2*u**2 wrt u?\nAnswer: -162720*m**2*u**2 - 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 15*n - 11*n + 7 - 27. Let g be x(6). What is i in i**2 + 0*i + 0 - i**g - 1\/2*i**3 + 1\/2*i**5 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.27 or 0.03192?\nAnswer: 0.03192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d**2 - 6*d**2 + 12*d**2 + 13*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1154 - 3*x - 1162 + 2*x + 2341.\nAnswer: -x + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373358877?\nAnswer: 3, 124452959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28275546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*p*r**4 + 122*p*r**2 + 4106*p + 4*r wrt r?\nAnswer: 8*p*r**3 + 244*p*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - -8. Let b = 12 + l. Let c(f) = 3*f**2 - 2*f - 1. Let h be c(b). Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*p = 62, 3*i + 146*p - 144*p = 89. What is the remainder when 415 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - (1*sqrt(66) - sqrt(66))*-5 - sqrt(66))\/(sqrt(6) - sqrt(600)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5236464 and 30.\nAnswer: 26182320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3940\/(-130) + (-6 - 1066\/(-169)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 252913?\nAnswer: 252913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4009 and 185345?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.09 - -0.09. Which is the nearest to -0.1?  (a) k  (b) -1\/2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2643 times -12.9163?\nAnswer: -34137.7809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18187615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.92967 rounded to 2 decimal places?\nAnswer: 4.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from arharhyrtrgtahhtr. What is prob of sequence th?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -3*p + 4, 0*q - 4*q - p = 20. Let d = q + 15. What is the lowest common multiple of d and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1711277 or 718?\nAnswer: 718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 - 1)*(f - f - 2*f**2) + 2*f - 2*f - f**2 - 6*f**2 - f**2 + 2*f**2 - 4*f**2 + 2 - 2 as c*f + p*f**2 + q and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*249.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 57 and 21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 2130  (b) 19  (c) 2  (d) 4  (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 3 + -3 - 1 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -2*k - 5*t, -87 + 16 = 3*k + 2*t. Let g = 30 + k. What is the remainder when 24 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 - 390*d**2 - 30 + 189*d**2 + 191*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.21 - 9.3. Let v = y - 0.11. Let s = v - -1. Sort -5, 0.4, s in decreasing order.\nAnswer: 0.4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206 a factor of 157145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - p = -14, -p - 2*p = 4*w - 20. Suppose -3*k + 9580000 = -w*k. Round k to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**4 + o**2 - 1. Let z(s) = -32*s**2 - 141*s + 3. Let j(b) = -3*a(b) - z(b). Find the second derivative of j(m) wrt m.\nAnswer: 36*m**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 166*c + 854. Let b be p(-5). What is the highest common factor of 320 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/25 or -46?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 492213 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z\/(z\/(z**1*z)))**35\/(z\/z**(-2\/9)*z*z*z*z**(-1\/9)) assuming z is positive.\nAnswer: z**(1223\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 4*h**2 + 14*h + 8. Let u be d(-6). Let j be u\/(-14) - (-60)\/(-14). What is the third biggest value in j, -2\/29, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 - 30. Let o(m) = 4*m - 20. Let n(d) = 5*d - 21. Let z(w) = 3*n(w) - 4*o(w). Let f be z(0). Solve 3*v + f = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of 1\/15*g**5 + 1\/120*g**6 - 1\/6*g**4 - 3*g**2 + 0*g + 0 - 7\/6*g**3. Determine z(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 2 + 4. Is (-33)\/9*(q + -5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 19. Let c = n + 11. Suppose 2*y - 3 - c = 0. What is the greatest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t + 1 - 1)*(-4 + 2 - 2)*(2 + 3 + 2).\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 108474644 or 108474642?\nAnswer: 108474644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -15*s**3 - 4*s**2 - 2*s + 1. Let h(v) = -6*v + 59. Let d be h(10). Let y be l(d). Calculate the highest common factor of 35 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-16)\/24 - 42\/(-9). Let f(w) = 22*w**2 - 11*w - 11. Let o(d) = 7*d**2 - 4*d - 4. Determine z*f(i) - 11*o(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 3:57 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(((-16)\/56)\/((-25)\/(-7))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 4, 11349, 2 in descending order.\nAnswer: 11349, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/26 + (-41)\/(3198\/(-109830)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1439119, -1439113, -1439107, -1439101, -1439095, -1439089?\nAnswer: -1439083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 9. Let q = r + -10. Let j(i) = -5 + i + 4 + 3. What is j(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 325*j + 2. Let n(o) = 83*o**2. Determine q(n(w)).\nAnswer: 26975*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1, 8, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-31)\/j)**13*j**(3\/23)*j**(-3))**(-46) assuming j is positive.\nAnswer: j**19268","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 178, 179, 180, 181?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 0.5, 84972, -8\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2939885 to the power of 1\/2, to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 4:00 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 11*o. Let j(y) = -7912*y. Determine j(v(u)).\nAnswer: -87032*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1588 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 96 = -13*y. Let o(m) = -54*m**2 + 17*m + 17. Let t(c) = 18*c**2 - 6*c - 6. Let u(a) = y*o(a) + 17*t(a). Let n(q) = 5*q. What is n(u(w))?\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (18\/15)\/((-2)\/(-10)) + 18. Solve -7*g = -4*x - 3*g + c, 5*g + 14 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43760747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2993856)\/(-1116))\/(((-2)\/1050)\/1). Round g to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -o + l, 4*o + 626*l = 625*l - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, b: 1, k: 3, s: 1, r: 2, q: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -653 + 1681?\nAnswer: 102a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 12. Let x = -4 + 3.7. Which is the closest to 0?  (a) -4\/5  (b) l  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -12, 3, -6690 in ascending order.\nAnswer: -6690, -12, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (39 + -26 - (-1 + 2)) + -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6649691, 6649714, 6649753, 6649808, 6649879?\nAnswer: 6649966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 4*r - 13 + 1, 2*q = 3*r + 57. Let v(c) = -4*c**2 + 50*c + 177. What is the smallest common multiple of q and v(15)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) 6\/5  (c) -1\/3  (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(168)*-1 + sqrt(168)))\/sqrt(12))\/(sqrt(49)\/((sqrt(112)\/sqrt(2))\/sqrt(8) + sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -5  (b) 2\/39  (c) 3\/5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1.9  (b) 4  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of 5*v**4\/24 - v**3\/2 + 3*v**2. What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -362662, 270 in descending order.\nAnswer: 270, 1\/6, -362662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.8  (b) -0.1  (c) 205\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3229482 equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*h**2*p**3 + h**2*p - 402*h*p**3 + 2*h*p + 2*h + 1279*p wrt p?\nAnswer: -132*h**2*p - 2412*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -841, -842, -843, -844?\n\"Answer: -o - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + sqrt(3) + (sqrt(3) - sqrt(3)*-2 - sqrt(3))**2 + sqrt(54)\/sqrt(2) + -3).\nAnswer: -16*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8109 - 243367\/30. Find the common denominator of h and 2426\/2976 + 49\/(-784).\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -997 or -17965\/18?\nAnswer: -17965\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.659 - -4.341. What is the biggest value in 53, x, -4?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 186508 and 22778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1*sqrt(272)*-2)**2.\nAnswer: 80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -5*l + 838 + 497, -3*j - 2*l = -796. Suppose 46 = 4*q - j. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, 43, 151, 335, 613, 1003, 1523, 2191?\nAnswer: 3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 + 22 = -i + 5*w, 4*i + w = 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 383*f**2 - 386*f**2 - 22*f + 768*f**2 - 2.\nAnswer: -f**2 - 22*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17766 is divided by 2212.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 + 44. Sort b, -0.2, -5 in decreasing order.\nAnswer: b, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*n - 641 = 1525 + 484 for n.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(325) - (5 + -1 + sqrt(325)) - (sqrt(325) + 1)**2*2) + -2.\nAnswer: -661 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -858952899 divided by -49?\nAnswer: 17529651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of i**7\/735 + i**6\/420 - 3*i**5\/70 - 3*i**4\/28 + 5*i**2 + 4*i. Determine b, given that o(b) = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 254 - 190 = 0. List the prime factors of g.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 465 and 267065?\nAnswer: 801195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 29*v - 157. What is n(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b (base 14) to base 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-63)\/(-15) - (-1)\/(-5). Let z be (-10)\/(-35) - 612\/(-14). List the prime factors of z + (-4 + w - 2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**2 + 134*r - 112. Is 20 a factor of z(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 - 25. Suppose k*b = -0*b + 72. Let r = 83 - b. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tgkt when four letters picked without replacement from tktqkgkqtgtk.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 399733567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 48\/2763445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 686*d + 29998. Determine o(-47).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 3*f**3 - 10 + 0.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hdkjjkdhh. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(102)\/(sqrt(12)\/(sqrt(12)\/sqrt(6))) - (3*(-1 + sqrt(68) - sqrt(68))**2 + ((sqrt(68) - (0 + sqrt(68))) + 2 - sqrt(68))).\nAnswer: -10 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-3 - 1)) + (-37 - -36)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + s + 0*s)*(-s**3 - 3*s**2 + 3*s**2) + (2*s + 2*s**2 - 2*s)*(-4*s**2 + 4*s**2 + 2*s**2) - 2*s**3 + 2*s**3 + s**4.\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1193, -2386, -3579, -4772, -5965, -7158?\n\"Answer: -1193*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 152.581 - 13.059. Round z to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 8:23 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - (-2)\/6*10)*33. Let h be (-12)\/66 + 24\/a + 7. Let t(n) = n**2 - 4*n - 19. Is t(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -665399, -665411, -665423, -665435, -665447?\n\"Answer: -12*a - 665387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 8*f**2 - 8*f - 1. Let i be y(6). Let x(c) = c**2 - 13*c + 24. Let l be x(5). Let n = l + i. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -52556 = -47*y + 132765. What is the remainder when y is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*c**3 - 2476*c**2 + 24950*c - 12?\nAnswer: 156*c - 4952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88*(-792)\/(-1815) + (-210)\/150.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 1  (b) 0.1  (c) 0.3  (d) -0.01  (e) 529\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**0)\/(r\/(r**(-1\/6)\/r)))**(14\/3) assuming r is positive.\nAnswer: r**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.53 - -4.53. Which is the closest to w?  (a) 1  (b) -1\/3  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m - 3. What are the prime factors of t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x**3 - x**3 - x - 2*x**3 - 5 + 2 + 6*x**2 as o + t*x**3 + l*x + r*x**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-14))\/(724\/(-293944))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 3\/2*q**2 + 0*q**3 + 1\/12*q**4 + 0*q - 3. Let x(o) be the second derivative of f(o). Let l(k) = -2*k. What is l(x(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3403 - -3396. Which is the biggest value?  (a) 0  (b) 33  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 4*i + 4 - 12, 0 = -2*f - 4*i. Let y(a) = 4*a**2 - 2*a - 1. Let t(h) = h**2 + 2*h**2 - h + 4*h**2 - 5*h**2. Give f*y(g) - 5*t(g).\nAnswer: -2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/8597304 and -13\/108.\nAnswer: 25791912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 160 = 5*v, 0 = -2*n - 0*n + 5*v + 67. Let p(w) = -2*w + 137. Calculate the remainder when 372 is divided by p(n).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 720 - 725. What is the smallest value in -0.0572, -3\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -409 = -3*a - 31*z, -3*a = 101*z - 98*z - 45 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 77 + -52. Suppose -5*f = 4*q - 0*f - 580, -5*q + 5*f = -725. What is the remainder when q is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cvcv when four letters picked without replacement from {c: 2, v: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 3*p - 3*p)*(0 + 0 + 2) + 0 - p + 7 + 3.\nAnswer: 3*p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18\/24605 or 0.1?\nAnswer: -18\/24605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9.92391 decades?\nAnswer: 99.2391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 13*y**3 - 6 + 25.\nAnswer: 13*y**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 534 = 40*s + 2*f + 84, -s - 3*s - 2807*f + 2809*f + 34 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9\/4, -335, 2\/7 in descending order.\nAnswer: 1, 2\/7, -9\/4, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 55.5 - 55. Let b = -52 - -47.6. Let r = -3.6 + b. Put r, x, 3\/7 in increasing order.\nAnswer: r, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -5*u**4\/4 + 425*u**3\/2 + 12125*u**2\/4 - 21125*u\/2 + 7320 = 0.\nAnswer: -16, 1, 2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 16887 divided by -3?\nAnswer: -5629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 62\/40637 or 0?\nAnswer: 62\/40637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (34\/(-85))\/(6\/(-15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2*(-6 - -4) - 2)*25. Does 13 divide (l\/(-8))\/((-18)\/1152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by -7 - (-4 - -175)\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/5, -87, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4002 and 58236.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5545, -11092, -16639, -22186?\nAnswer: -27733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6 + 4 + (10376\/5885 - -1). Let k = g + -43\/55. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/(l*l\/(l\/(l*l\/((l**0\/l)\/l*l)))))\/l*l)**(2\/35)\/(l**1\/l*l*l**(-8)*l))**(2\/151))**(-45) assuming l is positive.\nAnswer: l**(-3672\/1057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-23 - -18)) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/(-204) - (-2717)\/(-228)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, u: 6, x: 4, h: 2}. What is prob of picking 2 h and 1 x?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 5:14 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}